Статті в журналах: "Non-minimal Supersymmetric Model"

1

Ananthanarayan, B., and P. N. Pandita. "The non-minimal supersymmetric standard model with tan." Physics Letters B 353, no. 1 (June 1995): 70–78. http://dx.doi.org/10.1016/0370-2693(95)00517-o.

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2

Herquet, M., R. Knegjens, and E. Laenen. "Single top production in a non-minimal supersymmetric model." Physics Letters B 693, no. 5 (October 2010): 591–95. http://dx.doi.org/10.1016/j.physletb.2010.09.023.

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3

Arai, M., S. Saxell, and A. Tureanu. "A non-commutative version of the minimal supersymmetric standard model." European Physical Journal C 51, no. 1 (June 2007): 217–28. http://dx.doi.org/10.1140/epjc/s10052-007-0291-x.

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4

NAM, SOONKEON. "NON-UNITARY SUPERSYMMETRIC CONFORMAL FIELD THEORIES AND SUPERSYMMETRIC SINE-GORDON EQUATION." Modern Physics Letters A 05, no. 25 (October 10, 1990): 2071–77. http://dx.doi.org/10.1142/s0217732390002365.

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We study coset construction of superconformal minimal models using admissible representations of Kac-Moody algebra. In particular, we study supersymmetric minimal models of Wn algebra, and in particular we argue that c = −5/2 cannot be considered as a minimal model of superconformal or super-W3 algebra. In the second part of the paper, we consider superconformal field theories whose perturbations correspond to breather-breather scattering in supersymmetric sine-Gordon equations, and find a family of theories with c = −3N(4N + 3)/2(N + 1), N = 1, 2, 3, …, which is the counterpart of the family of non-unitary theories with c = −2N(6N + 5)/(2N + 3), N = 1, 2, 3, …, among which N = 1 (c = −22/5) is the Yang-Lee edge singularity.

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5

Kraniotis, G. V. "The dilaton-dominated supersymmetry breaking scenario in the context of the non-minimal supersymmetric model." Zeitschrift für Physik C Particles and Fields 68, no. 3 (September 1995): 491–94. http://dx.doi.org/10.1007/bf01620727.

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6

Ananthanarayan, B., and P. N. Pandita. "Particle spectrum in the non-minimal supersymmetric standard model with tan." Physics Letters B 371, no. 3-4 (March 1996): 245–51. http://dx.doi.org/10.1016/0370-2693(96)00010-x.

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7

Boucenna, Sofiane M., Tommy Ohlsson, and Marcus Pernow. "A minimal non-supersymmetric SO(10) model with Peccei–Quinn symmetry." Physics Letters B 792 (May 2019): 251–57. http://dx.doi.org/10.1016/j.physletb.2019.03.045.

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8

Benakli, Karim, Yifan Chen, and Gaëtan Lafforgue-Marmet. "Predicting Alignment in a Two Higgs Doublet Model." Proceedings 13, no. 1 (May 17, 2019): 2. http://dx.doi.org/10.3390/proceedings2019013002.

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We show that a non-abelian global S U ( 2 ) R R-symmetry acting on the quartic part of the two Higgs Doublet Model leads, at tree-level, to an automatic alignment without decoupling. An example of phenomenologically viable model with this feature is the the low energy effective field theory of the Minimal Dirac Gaugino Supersymmetric Model in the limit where the adjoint scalars are decoupled. We discuss here how the S U ( 2 ) R can be identified with the R-symmetry of the N = 2 supersymmetry in the gauge and Higgs sectors. We also review how the radiative corrections lead to a very small misalignment.

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9

Pallis, C., and N. Toumbas. "Non-minimal Higgs inflation and non-thermal leptogenesis in a supersymmetric Pati-Salam model." Journal of Cosmology and Astroparticle Physics 2011, no. 12 (December 1, 2011): 002. http://dx.doi.org/10.1088/1475-7516/2011/12/002.

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10

ABDALLA, E., та A. LIMA-SANTOS. "FACTORIZABLE S-MATRIX FOR $\frac{{\rm SO} (D)}{{\rm SO} (2) \otimes {\rm SO} (D -2)}$ NON-LINEAR σ MODELS WITH FERMIONS". Modern Physics Letters A 03, № 03 (лютий 1988): 311–17. http://dx.doi.org/10.1142/s0217732388000374.

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We compute the exact S matrix for the non-linear sigma model with symmetry SO(D)/SO(2)⊗SO(D−2) coupled to fermions in a minimal or supersymmetric way. The model has some relevance in string theory with non-zero external curvature.

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11

Huitu, Katri. "A minimal supersymmetric left-right model, dark matter and signals at the LHC." European Physical Journal Special Topics 229, no. 21 (December 2020): 3187–203. http://dx.doi.org/10.1140/epjst/e2020-000039-9.

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AbstractThe left-right symmetric models extend the gauge group of the Standard Model enabling treatment of the left- and right-handed fermions in the same footing. The left-right symmetry requires the existence of right-handed neutrinos, leading naturally to non-zero masses for neutrinos. Here some aspects of a supersymmetric version of the left-right symmetric models are reviewed. Such models have many virtues, including possibility for dark matter without any new additional symmetry needed in order to have a stable lightest supersymmetric particle. In the model the lightest sneutrino or the lightest neutralino can form dark matter of the universe, at the same time fulfilling all the experimental constraints. The dark matter particle in the model can be very different from the dark matter typical in the minimal supersymmetric standard model. Specific signals for this kind of models at the LHC are also discussed.

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12

Pandita, P. N. "Radiative corrections to the scalar Higgs masses in a non-minimal supersymmetric Standard Model." Zeitschrift für Physik C Particles and Fields 59, no. 4 (December 1993): 575–83. http://dx.doi.org/10.1007/bf01562550.

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13

Ahmed, Waqas, Athanasios Karozas, George K. Leontaris та Umer Zubair. "Smooth hybrid inflation with low reheat temperature and observable gravity waves in SU(5) × U(1)_χ super-GUT". Journal of Cosmology and Astroparticle Physics 2022, № 06 (1 червня 2022): 027. http://dx.doi.org/10.1088/1475-7516/2022/06/027.

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Abstract We realize smooth hybrid inflation in the framework of supersymmetric SU(5) × U(1)χ ⊂ SO(10) model which provides a natural solution to the monopole problem appearing in the spontaneous symmetry breaking of SU(5). The breaking of U(1)χ symmetry leaves a residual discrete Z 2 symmetry, that serves as the MSSM matter parity, realizing the possibility of the lightest supersymmetric particle as a cold dark matter candidate. The d = 5 proton lifetime for the decay p ⟶ K +ν̅, mediated by color-triplet Higgsinos is found to satisfy current experimental bounds if split-high scale SUSY scenario is employed. We show that with minimal Kähler potential, the soft supersymmetry breaking terms play a vital rôle in bringing the scalar spectral index ns within the Planck's latest bounds. In a minimal Kähler potential setup, small values of tensor-to-scalar ratio r ≲ 3.5 × 10-7 are obtained, whereas the gravitino mass turns out to be in the range that favors PeV scale SUSY but is not sufficiently high to avoid the d = 5 proton decay. A non-minimal Kähler potential including higher order corrections is required to realize successful inflation with central value of scalar spectral index ns = 0.9655, large tensor modes r ≲ 0.056 and a low reheat temperature (3 × 106 ≲ Tr ≲ 6.5 × 107) GeV consistent with leptogenesis and baryogenesis.

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14

Dubinin, M. N., E. Yu Petrova, E. O. Pozdeeva, and S. Yu Vernov. "MSSM inflation and cosmological attractors." International Journal of Geometric Methods in Modern Physics 15, supp01 (November 2018): 1840001. http://dx.doi.org/10.1142/s0219887818400017.

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Inflationary scenarios motivated by the minimal supersymmetric standard model (MSSM) where five scalar fields are non-minimally coupled to gravity are considered. The potential of the model and the function of non-minimal coupling are polynomials of two Higgs doublet convolutions. We show that the use of the strong coupling approximation allows to obtain inflationary parameters in the case when a combination of the four scalar fields plays a role of inflaton. Numerical calculations show that the cosmological evolution leads to inflationary scenarios fully compatible with observational data for different values of the MSSM mixing angle [Formula: see text].

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15

CLAVELLI, L. "LANDSCAPE IMPLICATIONS OF EXTENDED HIGGS MODELS." International Journal of Modern Physics A 23, no. 22 (September 10, 2008): 3509–23. http://dx.doi.org/10.1142/s0217751x08041736.

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From several points of view, it is strongly suggested that the current universe is unstable and will ultimately decay to one that is exactly supersymmetric (SUSY). The possibility that atoms and molecules form in this future universe requires that the degenerate electron/selectron mass is non-zero and hence that electroweak symmetry breaking (EWSB) survives the phase transition to exact SUSY. However, the Minimal Supersymmetric Standard Model (MSSM) and several of its extensions have no EWSB in the SUSY limit. Among the extended Higgs models that have been discussed, one stands out in this regard. The Higgs sector that is revealed at the Large Hadron Collider (LHC) will therefore have implications for the future universe. We also address the question as to whether the transition to the exact SUSY phase with EWSB is exothermic.

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16

Pandita, P. N. "One-loop radiative corrections to the lightest Higgs scalar mass in the non-minimal supersymmetric standard model." Physics Letters B 318, no. 2 (December 1993): 338–46. http://dx.doi.org/10.1016/0370-2693(93)90137-7.

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17

Abid, Mian Muhammad Azeem, Maria Mehmood, Mansoor Ur Rehman, and Qaisar Shafi. "Realistic inflation in no-scale U(1)_R symmetric flipped SU(5)." Journal of Cosmology and Astroparticle Physics 2021, no. 10 (October 1, 2021): 015. http://dx.doi.org/10.1088/1475-7516/2021/10/015.

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Abstract We have realized non-minimal Higgs inflation and standard hybrid inflation in the supersymmetric flipped SU(5) model with U(1) R symmetry using the no-scale form of the Kähler potential. In non-minimal Higgs inflation the waterfall Higgs field plays the role of inflaton, and in standard hybrid inflation the gauge singlet field S is employed as an inflaton. The predictions of both models are in good agreement with the Planck 2018 data. For numerical calculations we have fixed the gauge symmetry breaking scale, M, around 2 × 1016 GeV. In both models the inflaton field values are constrained below mP . The tensor to scalar ratio r in non-minimal inflation is of the order of 10-3 and for standard hybrid inflation r is tiny, of order 10-15–10-4. The scalar spectral index in both cases lie within the Planck 1-σ bounds, and the running of the scalar spectral index lies in the range, -dns /d ln k ∼ 6 × 10-4 for non-minimal model and 10-9–10-3 for the standard hybrid model. A realistic scenario of reheating and non-thermal leptogenesis is employed with reheat temperature Tr ∼ 109 GeV for non-minimal model and 106–1010 GeV for standard hybrid model. The R-symmetry plays a vital role in forbidding rapid proton decay, but at the same time it also suppresses terms responsible for generating right handed neutrino masses. A realistic scenario of right handed neutrino masses is obtained by considering effective R symmetry breaking at the nonrenormalizable level with adequate suppression of rapid proton decay.

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18

Ham, S. W., and S. K. Oh. "CP violation in the neutral Higgs sector of a non-minimal supersymmetric standard model with multiple Higgs singlets." Journal of the Korean Physical Society 55, no. 4 (October 15, 2009): 1372–80. http://dx.doi.org/10.3938/jkps.55.1372.

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19

Pandita, P. N., and P. Francis Paulraj. "Infra-red stable fixed points of Yukawa couplings in non-minimal supersymmetric standard model with R-parity violation." Physics Letters B 462, no. 3-4 (September 1999): 294–301. http://dx.doi.org/10.1016/s0370-2693(99)00923-5.

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20

KÖNIG, HEINZ. "QCD CORRECTIONS TO THE $H^ + \to t\bar b$ DECAY WITHIN THE MINIMAL SUPERSYMMETRIC STANDARD MODEL." Modern Physics Letters A 10, no. 15n16 (May 30, 1995): 1113–18. http://dx.doi.org/10.1142/s021773239500123x.

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The results of the QCD corrections to the [Formula: see text] decay within the minimal super-symmetric standard model such that gluinos and scalar quarks are taken within the relevant loop diagram are presented. The mixing of the scalar partners of the left- and right-handed top quarks which is proportional to the top quark mass is included. The standard corrections via gluons and quarks are about +7% for a charged Higgs mass of 300 GeV and about −10% for a Higgs mass of 800 GeV. The standard corrections can be shown to diminish or enhance by a non-negligible amount of certain values of the supersymmetric parameter space. The sign changes can also be obtained.

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21

Nevzorov, Roman. "On the Suppression of the Dark Matter-Nucleon Scattering Cross Section in the SE6SSM." Symmetry 14, no. 10 (October 8, 2022): 2090. http://dx.doi.org/10.3390/sym14102090.

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In the E6 inspired U(1)N extension of the minimal supersymmetric (SUSY) standard model (MSSM), a single discrete Z˜2H symmetry permits suppressing rapid proton decay and non-diagonal flavor transitions. If matter parity and Z˜2H symmetry are preserved in this SUSY model (SE6SSM), it may involve two dark matter candidates. In this article, we study a new modification of the SE6SSM in which the cold dark matter is composed of gravitino and the lightest neutral exotic fermion. We argue that, in this case, the dark matter nucleon scattering cross-section can be considerably smaller than the present experimental limit.

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22

Ahmed, Waqas, та Umer Zubair. "Radiative symmetry breaking, cosmic strings and observable gravity waves in 𝖴(1)_𝖱 symmetric 𝖲𝖴(5) × 𝖴(1)_χ". Journal of Cosmology and Astroparticle Physics 2023, № 01 (1 січня 2023): 019. http://dx.doi.org/10.1088/1475-7516/2023/01/019.

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Abstract We implement shifted hybrid inflation in the framework of supersymmetric SU(5) × U(1)χ GUT model which provides a natural solution to the monopole problem appearing in the spontaneous symmetry breaking of SU(5). The U(1)χ symmetry is radiatevely broken after the end of inflation at an intermediate scale, yielding topologically stable cosmic strings. The Planck's bound on the gravitational interaction strength of these strings, characterized by GNμs are easily satisfied with the U(1)χ symmetry breaking scale which depends on the initial boundary conditions at the GUT scale. The dimension-5 proton lifetime for the decay p → K + ν̅, mediated by color-triplet Higgsinos is found to satisfy current Super-Kamiokande bounds for SUSY breaking scale M SUSY ≳ 12.5 TeV. We show that with minimal Kähler potential, the soft supersymmetry breaking terms play a vital role in bringing the scalar spectral index n_s within the Planck's latest bounds, although with small tensor modes r ≲ 2.5 × 10-6 and SU(5) gauge symmetry breaking scale in the range (2 × 1015≲ Mα ≲ 2 × 1016) GeV. By employing non-minimal terms in the Kähler potential, the tensor-to-scalar ratio approaches observable values (r ≲ 10-3) with the SU(5) symmetry breaking scale Mα ≃ 2 × 1016 GeV.

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23

HATZINIKITAS, AGAPITOS. "A CLASS OF (0,0) NON-SUPERSYMMETRIC HETEROTIC STRING COMPACTIFICATIONS FROM N=2 MINIMAL SUPERCONFORMAL THEORIES WITH c=9." International Journal of Modern Physics A 10, no. 09 (April 10, 1995): 1249–68. http://dx.doi.org/10.1142/s0217751x95000607.

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Models which do not preserve N=1 space-time SUSY are constructed in the framework of tensoring of N=2 minimal superconformal theories quotiented by discrete symmetries. We concentrate on those models based on the standard [Formula: see text] affine invariants, and as quotient groups we use the Zk+2 symmetry groups of the minimal theories at level k. In our analysis we investigate the way in which the usual generalized GSO projection must be modified in order to incorporate discrete torsions responsible for the N=1 space-time breaking. We also determine the number of massless 27’s and [Formula: see text] of E6, and the number of chiral superfields transforming as singlets under E6. A discussion on the massless spectrum of a specific model reveals some interesting phenomenological implications.

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24

Boucenna, Sofiane M., Tommy Ohlsson, and Marcus Pernow. "Corrigendum to “A minimal non-supersymmetric SO(10) model with Peccei–Quinn symmetry” [Phys. Lett. B 792 (2019) 251–257]." Physics Letters B 797 (October 2019): 134902. http://dx.doi.org/10.1016/j.physletb.2019.134902.

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25

DUTTA, B., Y. MIMURA, and R. N. MOHAPATRA. "NEUTRINOS, LEPTON FLAVOR AND CP VIOLATION IN A PREDICTIVE SO(10) MODEL." International Journal of Modern Physics A 20, no. 06 (March 10, 2005): 1180–87. http://dx.doi.org/10.1142/s0217751x05024067.

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A minimal supersymmetric SO (10) model with one 10 and one 126 Higgs superfield predict all neutrino mixings as well as the solar mass difference squared in agreement with observations. However, the CKM CP phase is constrained to be in the second or third quadrant requiring a significant non-CKM component to CP violation to explain observations. We revisit this issue using type I and II seesaw formula for neutrino masses show that the addition of a nonrenormalizable term restores compatibility with neutrino data and CKM CP violation in both cases. We further find that the MSSM parameter tan β≥30 in the type I model and lepton flavor violation and lepton electric dipole moments are accessible to proposed experiments in both type I and type II models. We also discuss the unification of the gauge couplings in type I model which requires an intermediate scale.

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26

ARHRIB, ABDESSLAM, RACHID BENBRIK, MOHAMED CHABAB, WEI TING CHANG та TZU-CHIANG YUAN. "CP violation in Charged Higgs Bosons decays H± → W± (γ, Z) in the Minimal Supersymmetric Standard Model (MSSM)". International Journal of Modern Physics A 22, № 31 (20 грудня 2007): 6022–32. http://dx.doi.org/10.1142/s0217751x07039201.

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One loop mediated charged Higgs bosons decays H± → W±V, V = Z, γ are studied in the Minimal Supersymmetric Standard Model (MSSM) with and without CP violating phases. We evaluate the MSSM contributions to these processes taking into account B → Xsγ constraint as well as experimental constraints on the MSSM parameters. In the MSSM, we found that in the intermediate range of tan β ≲ 10 and for large At and large μ, where the lightest top squark becomes very light and hence non-decoupled, the branching ratio of H± → W±Z can be of the order 10−3 while the branching ratio of H± → W±γ is of the order 10−5. We found also that the CP violating phases of soft SUSY parameters can modify the branching ratio by about one order of magnitude. We also show that MSSM with CP violating phases lead to CP-violating asymmetry in the decays H+ → W+V and H− → W−V. Such CP asymmetry can be rather large and can reach 80% in some region of parameter space.

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27

ZWIRNER, FABIO. "THE HIGGS PUZZLE: EXPERIMENT AND THEORY." International Journal of Modern Physics A 17, no. 23 (September 20, 2002): 3300–3317. http://dx.doi.org/10.1142/s0217751x02012740.

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The present experimental and theoretical knowledge of the physics of electroweak symmetry breaking is reviewed. Data still favor a light Higgs boson, of a kind that can be comfortably accommodated in the Standard Model or in its Minimal Supersymmetric extension, but exhibit a non-trivial structure that leaves some open questions. The available experimental information may still be reconciled with the absence of a light Higgs boson, but the price to pay looks excessive. Recent theoretical ideas, linking the weak scale with the size of possible extra spatial dimensions, are briefly mentioned. It is stressed once more that experiments at high-energy colliders, such as the Tevatron and the LHC, are the crucial tool for eventually solving the Higgs puzzle.

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28

Guchait, Monoranjan, and Jacky Kumar. "Light Higgs bosons in NMSSM at the LHC." International Journal of Modern Physics A 31, no. 12 (April 28, 2016): 1650069. http://dx.doi.org/10.1142/s0217751x1650069x.

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The next-to-minimal supersymmetric Standard Model (NMSSM) with an extended Higgs sector offers at least one Higgs boson as the Standard Model (SM)-like Higgs with a mass around 125 GeV. In this work, we revisit the mass spectrum and couplings of non-SM-like Higgs bosons taking into consideration most relevant constraints and identify the relevant parameter space. The discovery potential of these non-SM-like Higgs bosons, apart from their masses, is guided by their couplings with gauge bosons and fermions which are very much parameter space sensitive. We evaluate the rates of productions of these non-SM-like Higgs bosons at the LHC for a variety of decay channels in the allowed region of the parameter space. Although [Formula: see text], [Formula: see text] modes appear to be the most promising decay channels, but for a substantial region of parameter space the two-photon decay mode has a remarkably large rate. In this study we emphasize that this diphoton mode can be exploited to find the non-SM-like Higgs bosons of the NMSSM and can also be a potential avenue to distinguish the NMSSM from the MSSM. In addition, we discuss briefly the various detectable signals of these non-SM Higgs bosons at the LHC.

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29

POLLOCK, M. D. "GOLDSTONE FIELDS IN THE SUPERSTRING THEORY." International Journal of Modern Physics D 17, no. 01 (January 2008): 81–94. http://dx.doi.org/10.1142/s0218271808011882.

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If global supersymmetry is broken by gaugino condensation in the hidden sector of the [Formula: see text] heterotic superstring theory after compactification, then the auxiliary field FB of the modulus B ≡ (B r , B i ) attains a finite value, while that of the dilaton A ≡ (A r , A i ) vanishes, FA = 0, the Goldstone fermion being the modulino [Formula: see text], the spin-½ component of the complex chiral supermultiplet [Formula: see text]. The Goldstone boson of the scale symmetry that is broken when the radius of the internal space is fixed at a constant value is B r , which is determined from the goldstino Lagrangian, compared term by term with the superstring Lagrangian, including higher-derivative gravitational terms [Formula: see text] and [Formula: see text], after linking the space–time curvature to the energy–momentum tensor of the goldstino via the Einstein equations. This non-linear formulation of supersymmetry, due to Volkov and Akulov, is expressed in terms of the goldstino alone, whose Lagrangian contains a negative cosmological constant, which can be cancelled by the super-Higgs mechanism of Deser and Zumino to make the gravitino massive and break supersymmetry at the level [Formula: see text] GeV, while [Formula: see text]. Here, the modulus has been scaled to the Hagedorn value for the heterotic superstring theory, [Formula: see text], and A r , identified with the inverse square of the tree-level gauge coupling, has been scaled to the calculation in the minimal supersymmetric standard model due to Weinberg, that g-2 = 1.39 at the unification mass MX = 2.2 × 1016 GeV, assuming three generations of elementary particles and two Higgs doublets. In the presence of gravitino condensation in the internal space, however, there is an arbitrary additional contribution to the cosmological constant, facilitating reduction of m s to ~ 100 TeV, say, and m3/2 to ~ 1 eV.

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30

KHARCHEV, S., A. MARSHAKOV, A. MIRONOV, and A. MOROZOV. "LANDAU-GINZBURG TOPOLOGICAL THEORIES IN THE FRAMEWORK OF GKM AND EQUIVALENT HIERARCHIES." Modern Physics Letters A 08, no. 11 (April 10, 1993): 1047–61. http://dx.doi.org/10.1142/s0217732393002531.

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We consider the deformations of "monomial solutions" to generalized Kontsevich. model1,2 and establish the relation between the flows generated by these deformations with those of N = 2 Landau-Ginzburg topological theories. We prove that the partition function of a generic generalized Kontsevich model can be presented as a product of some "quasiclassical" factor and non-deformed partition function which depends only on the sum of Miwa transformed and flat times. This result is important for the restoration of explicit p − q symmetry in the interpolation pattern between all the (p, q)-minimal string models with c < 1 and for revealing its integrable structure in p-direction, determined by deformations of the potential. It also implies the way in which supersymmetric LandauGinzburg models are embedded into the general context of GKM. From the point of view of integrable theory these deformations present a particular case of what is called equivalent hierarchies.

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31

Telba, Marwa, and Maien Binjonaid. "Impact of LHC Higgs couplings measurements on bosonic decays of the neutral Higgs sector in the scNMSSM." Modern Physics Letters A 36, no. 06 (January 20, 2021): 2150035. http://dx.doi.org/10.1142/s0217732321500358.

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Анотація:

We analyze the Next-to-minimal supersymmetric Standard Model with Grand unification boundary conditions under current theoretical and experimental constraints. We compute the mass spectrum of the model and focus on the three lightest particles in the Higgs sector (two CP-even scalars, [Formula: see text], [Formula: see text] and one CP-odd, [Formula: see text]). The reduced couplings of such particles, singlet-doublet components, their branching ratios to bosons and reduced cross-section to photons and massive gauge bosons via gluon fusion are thoroughly and systematically scrutinized. Our analysis is focused on the parameter space where the singlet-doublet coupling [Formula: see text] is as large as possible (keeping the perturbativity bound intact) and the ratio between the vacuum expectation values of the up-type and down-type Higgses [Formula: see text] is as small as possible, which is the region representing the most natural case of the NMSSM. We show the impact of recent constraints from the LHC on the SM-Higgs couplings to bosons and fermions on the parameter space of the model and the consequent implications on the Higgs sector. The results show that while the model is still able to account for current data, and provide an opportunity for discovery of extended Higgs sectors, recent LHC Higgs couplings constraints rule-out parts of the parameter space where [Formula: see text] (non-SM-like) and [Formula: see text] are non-singlet with masses below 400 GeV.

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32

Masoud, Muhammad Atif, Mansoor Ur Rehman, and Qaisar Shafi. "Sneutrino tribrid inflation, metastable cosmic strings and gravitational waves." Journal of Cosmology and Astroparticle Physics 2021, no. 11 (November 1, 2021): 022. http://dx.doi.org/10.1088/1475-7516/2021/11/022.

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Abstract We present a successful realization of sneutrino tribrid inflation model based on a gauged U(1)_B-L extension of Minimal Supersymmetric Standard Model (MSSM). A single interaction term involving the B-L Higgs field and the right-handed neutrinos serves multiple purposes. These include the generation of heavy Majorana masses for the right-handed neutrinos to provide an explanation for the tiny neutrino masses via the seesaw mechanism, a realistic scenario for reheating and non-thermal leptogenesis with a reheat temperature as low as 106 GeV, and a successful realization of inflation with right-handed sneutrino as the inflaton. The matter parity which helps avoid rapid proton decay survives as a Z2 subgroup of a U(1) R-symmetry. Depending on the choice of model parameters yields the following predicted range of the tensor to scalar ratio, 3 × 10-11≲ r≲ 7× 10-4 (6 × 10-7≲ r ≲ 0.01), and the running of the scalar spectral index, -0.00022 ≲ dn_s/dln k ≲ -0.0026 (-0.00014 ≲ dn_s/dln k ≲ 0.005), along with the B-L breaking scale, 3 × 1014≲ M/ GeV≲ 5 × 1015 (6 × 1015≲ M/ GeV≲ 2 × 1016), calculated at the central value of the scalar spectral index, n_s =0.966, reported by Planck 2018. The possibility of realizing metastable cosmic strings in a grand unified theory setup is briefly discussed. The metastable cosmic string network admits string tension values in the range 10-8≲ Gμs ≲ 10-6, and predicts a stochastic gravitational wave background lying within the 2-σ bounds of the recent NANOGrav 12.5-yr data.

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33

LI, Z. S., and C. S. LAM. "MINIMAL-RANK MODELS FROM NON-ABELIAN ORBIFOLDS." International Journal of Modern Physics A 07, no. 23 (September 20, 1992): 5739–60. http://dx.doi.org/10.1142/s0217751x92002611.

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All space-time supersymmetric non-Abelian orbifolds produced by finite subgroups of SU(2) whose gauge groups are of minimal rank are systematically classified for the [Formula: see text] heterotic string. Also, we discuss a novel method of removing global anomalies in the operator formalism.

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34

Hugonie, Cyril, Jorge C. Rom ao, and Ana M. Teixeira. "Spontaneous CP violation in non-minimal supersymmetric models." Journal of High Energy Physics 2003, no. 06 (June 12, 2003): 020. http://dx.doi.org/10.1088/1126-6708/2003/06/020.

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35

Espinosa, J. R., and M. Quirós. "On Higgs boson masses in non-minimal supersymmetric standard models." Physics Letters B 279, no. 1-2 (April 1992): 92–97. http://dx.doi.org/10.1016/0370-2693(92)91846-2.

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36

Pratim Pal, Partha. "Higgs Masses in a Renormalization-GroupImproved Non-Minimal Model of Supersymmetry." International Journal of High Energy Physics 2, no. 4 (2015): 47. http://dx.doi.org/10.11648/j.ijhep.20150204.11.

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37

AKULA, SUJEET, DANIEL FELDMAN, ZUOWEI LIU, PRAN NATH, and GREGORY PEIM. "NEW CONSTRAINTS ON DARK MATTER FROM CMS AND ATLAS DATA." Modern Physics Letters A 26, no. 21 (July 10, 2011): 1521–35. http://dx.doi.org/10.1142/s0217732311036292.

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Constraints on dark matter from the first CMS and ATLAS SUSY searches are investigated. It is shown that within the minimal supergravity model, the early search for supersymmetry at the LHC has depleted a large portion of the signature space in dark matter direct detection experiments. In particular, the prospects for detecting signals of dark matter in the XENON and CDMS experiments are significantly affected in the low neutralino mass region. Here the relic density of dark matter typically arises from slepton coannihilations in the early universe. In contrast, it is found that the CMS and ATLAS analyses leave untouched the Higgs pole and the Hyperbolic Branch/Focus Point regions, which are now being probed by the most recent XENON results. Analysis is also done for supergravity models with non-universal soft breaking where one finds that a part of the dark matter signature space depleted by the CMS and ATLAS cuts in the minimal SUGRA case is repopulated. Thus, observation of dark matter in the LHC depleted region of minimal supergravity may indicate non-universalities in soft breaking.

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38

Das, Siba P., Jorge F. Fraga, and Carlos Avila. "Production of a light top-squark pair in association with a light non-SM Higgs boson within the NMSSM from proton–proton collisions at s = 13 TeV and 33 TeV." International Journal of Modern Physics A 34, no. 22 (August 7, 2019): 1950125. http://dx.doi.org/10.1142/s0217751x19501252.

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We study the production of a light top-squark pair in association with the lightest Higgs boson [Formula: see text], as predicted by the Next-to-Minimal Supersymmetric Standard Model (NMSSM) in proton–proton collisions at center-of-mass energies of 13 TeV and 33 TeV. We scan randomly about 10 million points of the NMSSM parameter space, allowing all possible decays of the lightest top-squark and lightest Higgs boson, with no further assumptions, except for known physical constraints such as perturbative bounds, dark matter relic density consistent with recent Planck experiment measurements, Higgs mass bounds on the next to lightest Higgs boson, [Formula: see text], assuming it is consistent with LHC measurements for the Standard Model Higgs boson, LEP bounds for the chargino mass and [Formula: see text] invisible width, experimental bounds on [Formula: see text] meson rare decays and some LHC experimental bounds on SUSY particle spectra different to the particles involved in our analysis. We find that for low mass top-squark, the dominating decay mode is [Formula: see text] with [Formula: see text]. We use three benchmark points with the highest cross-sections, which naturally fall within the compressed spectra of the top-squark, and make a phenomenological analysis to determine the optimal event selection that maximizes the signal significance over backgrounds. We focus on the leptonic decays of both [Formula: see text]’s and the decay of the lightest Higgs boson into [Formula: see text]-quarks [Formula: see text]. Our results show that the high luminosity LHC will have limitations to observe the studied SUSY scenario and only a proton collider with a collision energy above 33 TeV will be able to observe this signal with more than three standard deviations over background, albeit for stop masses below 300 GeV.

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39

Kazakov, Vladimir. "Quantum Spectral Curve of γ-Twisted 𝒩 = 4 SYM Theory and Fishnet CFT". Reviews in Mathematical Physics 30, № 07 (25 липня 2018): 1840010. http://dx.doi.org/10.1142/s0129055x1840010x.

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We review the quantum spectral curve (QSC) formalism for the spectrum of anomalous dimensions of [Formula: see text] SYM, including its [Formula: see text]-deformation. Leaving aside its derivation, we concentrate on the formulation of the “final product” in its most general form: a minimal set of assumptions about the algebraic structure and the analyticity of the [Formula: see text]-system — the full system of Baxter [Formula: see text]-functions of the underlying integrable model. The algebraic structure of the [Formula: see text]-system is entirely based on (super)symmetry of the model and is efficiently described by Wronskian formulas for [Formula: see text]-functions organized into the Hasse diagram. When supplemented with analyticity conditions on [Formula: see text]-functions, it fixes completely the set of physical solutions for the spectrum of an integrable model. First, we demonstrate the spectral equations on the example of [Formula: see text] and [Formula: see text] Heisenberg (super)spin chains. Supersymmetry [Formula: see text] occurs as a simple “rotation” of the Hasse diagram for a [Formula: see text] system. Then we apply this method to the spectral problem of [Formula: see text]/CFT4-duality, describing the QSC formalism. The main difference with the spin chains consists in more complicated analyticity constraints on [Formula: see text]-functions which involve an infinitely branching Riemann surface and a set of Riemann–Hilbert conditions. As an example of application of QSC, we consider a special double scaling limit of [Formula: see text]-twisted [Formula: see text] SYM, combining weak coupling and strong imaginary twist. This leads to a new type of non-unitary CFT dominated by particular integrable, and often computable, 4D fishnet Feynman graphs. For the simplest of such models — the bi-scalar theory — the QSC degenerates into the [Formula: see text]-system for integrable non-compact Heisenberg spin chain with conformal, [Formula: see text] symmetry. We describe the QSC derivation of Baxter equation and the quantization condition for particular fishnet graphs — wheel graphs, and review numerical and analytic results for them.

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40

Li, Shing Yan, Yu-Cheng Qiu, and S. H. Henry Tye. "Standard model from a supergravity model with a naturally small cosmological constant." Journal of High Energy Physics 2021, no. 5 (May 2021). http://dx.doi.org/10.1007/jhep05(2021)181.

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Abstract Guided by the naturalness criterion for an exponentially small cosmological constant, we present a string theory motivated 4-dimensional $$ \mathcal{N} $$ N = 1 non-linear supergravity model (or its linear version with a nilpotent superfield) with spontaneous supersymmetry breaking. The model encompasses the minimal supersymmetric standard model, the racetrack Kähler uplift, and the KKLT anti-D3-branes, and use the nilpotent superfield to project out the undesirable interaction terms as well as the unwanted degrees of freedom to end up with the standard model (not the supersymmetric version) of strong and electroweak interactions.

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41

Monaco, Maurizio, та Martin Spinrath. "b−τYukawa (non)unification in the constrained minimal supersymmetric model". Physical Review D 84, № 5 (12 вересня 2011). http://dx.doi.org/10.1103/physrevd.84.055009.

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42

Katsianis, Georgios, Ioannis Papadimitriou, Kostas Skenderis, and Marika Taylor. "Supersymmetry anomaly in the superconformal Wess-Zumino model." Journal of High Energy Physics 2021, no. 2 (February 2021). http://dx.doi.org/10.1007/jhep02(2021)209.

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Abstract We present a comprehensive analysis of supersymmetry anomalies in the free and massless Wess-Zumino (WZ) model in perturbation theory. At the classical level the model possesses $$ \mathcal{N} $$ N = 1 superconformal symmetry, which is partially broken by quantum anomalies. The form of the anomalies and the part of the symmetry they break depend on the multiplet of conserved currents used. It was previously shown that the R-symmetry anomaly of the conformal current multiplet induces an anomaly in Q-supersymmetry, which appears first in 4-point functions. Here we confirm this result by an explicit 1-loop computation using a supersymmetric Pauli-Villars regulator.The conformal current multiplet does not exist in the regulated theory because the regulator breaks conformal invariance, R-symmetry and S-supersymmetry explicitly. The minimal massive multiplet is the Ferrara-Zumino (FZ) one and the supersymmetry preserved by the regulator is a specific field dependent combination of Q- and S- supersymmetry of the conformal multiplet. While this supersymmetry is non anomalous, conformal invariance, R-symmetry and the original Q- and S-supersymmetries are explicitly broken by finite contact terms, both in the regulated and renormalized theories.A conformal current multiplet does exist for the renormalized theory and may be obtained from the FZ multiplet by a set of finite local counterterms that eliminate the explicit symmetry breaking, thus restoring superconformal invariance up to anomalies. However, this necessarily renders both Q- and S-supersymmetries anomalous, as is manifest starting at 4-point functions of conformal multiplet currents. The paper contains a detailed discussion of a number of issues and subtleties related to Ward identities that may be useful in a wider context.

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43

Baiguera, Stefano, Lorenzo Cederle, and Silvia Penati. "Supersymmetric Galilean Electrodynamics." Journal of High Energy Physics 2022, no. 9 (September 28, 2022). http://dx.doi.org/10.1007/jhep09(2022)237.

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Abstract In 2+1 dimensions, we propose a renormalizable non-linear sigma model action which describes the $$ \mathcal{N} $$ N = 2 supersymmetric generalization of Galilean Electrodynamics. We first start with the simplest model obtained by null reduction of the relativistic Abelian $$ \mathcal{N} $$ N = 1 supersymmetric QED in 3+1 dimensions and study its renormalization properties directly in non-relativistic superspace. Despite the existence of a non-renormalization theorem induced by the causal structure of the non-relativistic dynamics, we find that the theory is non-renormalizable. Infinite dimensionless, supersymmetric and gauge-invariant terms, which combine into an analytic function, are generated at quantum level. Renormalizability is then restored by generalizing the theory to a non-linear sigma model where the usual minimal coupling between gauge and matter is complemented by infinitely many marginal couplings driven by a dimensionless gauge scalar and its fermionic superpartner. Superconformal invariance is preserved in correspondence of a non-trivial conformal manifold of fixed points where the theory is gauge-invariant and interacting.

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44

Nakayama, Yu, and Ken Kikuchi. "The fate of non-supersymmetric Gross-Neveu-Yukawa fixed point in two dimensions." Journal of High Energy Physics 2023, no. 3 (March 30, 2023). http://dx.doi.org/10.1007/jhep03(2023)240.

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Abstract We investigate the fate of the non-supersymmetric Gross-Neveu-Yukawa fixed point found by Fei et al. in 4 − ϵ dimensions with a two-component Majorana fermion continued to two dimensions. Assuming that it is a fermionic minimal model which possesses a chiral ℤ2 symmetry (in addition to fermion number parity) and just two relevant singlet operators, we can zero in on four candidates. Assuming further that the least relevant deformation leads to the supersymmetric Gross-Neveu-Yukawa fixed point (i.e. fermionic tricritical Ising model), we can rule out two of them by matching the spin contents of the preserved topological defect lines. The final candidates are the fermionic (11, 4) minimal model if it is non-unitary, and the fermionic (E6, A10) minimal model if it is unitary. If we further use a constraint from the double braiding relation proposed by one of the authors, the former scenario is preferable.

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45

Grasso, Darren T., and Sergei M. Kuzenko. "Effective actions in supersymmetric gauge theories: heat kernels for non-minimal operators." Journal of High Energy Physics 2023, no. 6 (June 21, 2023). http://dx.doi.org/10.1007/jhep06(2023)120.

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Abstract We study the quantum dynamics of a system of n Abelian $$ \mathcal{N} $$ N = 1 vector multiplets coupled to $$ \frac{1}{2}n\left(n+1\right) $$ 1 2 n n + 1 chiral multiplets which parametrise the Hermitian symmetric space Sp(2n, ℝ)/U(n). In the presence of supergravity, this model is super-Weyl invariant and possesses the maximal non-compact duality group Sp(2n, ℝ) at the classical level. These symmetries should be respected by the logarithmically divergent term (the “induced action”) of the effective action obtained by integrating out the vector multiplets. In computing the effective action, one has to deal with non-minimal operators for which the known heat kernel techniques are not directly applicable, even in flat (super)space. In this paper we develop a method to compute the induced action in Minkowski superspace. The induced action is derived in closed form and has a simple structure. It is a higher-derivative superconformal sigma model on Sp(2n, ℝ)/U(n). The obtained $$ \mathcal{N} $$ N = 1 results are generalised to the case of $$ \mathcal{N} $$ N = 2 local supersymmetry: a system of n Abelian $$ \mathcal{N} $$ N = 2 vector multiplets coupled to $$ \mathcal{N} $$ N = 2 chiral multiplets XI parametrising Sp(2n, ℝ)/U(n). The induced action is shown to be proportional to $$ \int {\textrm{d}}^4x{\textrm{d}}^4\theta {\textrm{d}}^4\overline{\theta}E\mathfrak{K}\left(X,\overline{X}\right) $$ ∫ d 4 x d 4 θ d 4 θ ¯ E K X X ¯ , where $$ \mathfrak{K}\left(X,\overline{X}\right) $$ K X X ¯ is the Kähler potential for Sp(2n, ℝ)/U(n). We also apply our method to compute DeWitt’s a2 coefficients in some non-supersymmetric theories with non-minimal operators.

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46

Hollik, Wolfgang Gregor, Cheng Li, Gudrid Moortgat-Pick, and Steven Paasch. "Phenomenology of a supersymmetric model inspired by inflation." European Physical Journal C 81, no. 2 (February 2021). http://dx.doi.org/10.1140/epjc/s10052-021-08869-4.

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AbstractThe current challenges in high energy physics and cosmology are to build coherent particle physics models to describe the phenomenology at colliders in the laboratory and the observations in the universe. From these observations, the existence of an inflationary phase in the early universe gives guidance for particle physics models. We study a supersymmetric model which incorporates successfully inflation by a non-minimal coupling to supergravity and shows a unique collider phenomenology. Motivated by experimental data, we set a special emphasis on a new singlet-like state at $$97\,\text {GeV}$$ 97 GeV and single out possible observables for a future linear collider that permit a distinction of the model from a similar scenario without inflation. We define a benchmark scenario that is in agreement with current collider and Dark Matter constraints, and study the influence of the non-minimal coupling on the phenomenology. Measuring the singlet-like state with high precision on the percent level seems to be promising for resolving the models, even though the Standard Model-like Higgs couplings deviate only marginally. However, a hypothetical singlet-like state with couplings of about $$20\,\%$$ 20 % compared to a Standard Model Higgs at $$97\,\text {GeV}$$ 97 GeV encourages further studies of such footprint scenarios of inflation.

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47

Mazumdar, Anupam, and Seshadri Nadathur. "Curvaton Scenario within the Minimal Supersymmetric Standard Model and Predictions for Non-Gaussianity." Physical Review Letters 108, no. 11 (March 13, 2012). http://dx.doi.org/10.1103/physrevlett.108.111302.

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48

Lindestam, Malte, Tommy Ohlsson, and Marcus Pernow. "Flavor symmetries in an SU(5) model of grand unification." Journal of High Energy Physics 2022, no. 1 (January 2022). http://dx.doi.org/10.1007/jhep01(2022)009.

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Abstract We investigate the options for imposing flavor symmetries on a minimal renormalizable non-supersymmetric SU(5) grand unified theory, without introducing additional flavor-related fields. Such symmetries reduce the number of free parameters in the model and therefore lead to more predictive models. We consider the Yukawa sector of the Lagrangian, and search for all possible flavor symmetries. As a result, we find 25 distinct realistic flavor symmetry cases, with ℤ2, ℤ3, ℤ4, and U(1) symmetries, and no non-Abelian cases.

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49

Bolton, Patrick D., Frank F. Deppisch, and P. S. Bhupal Dev. "Neutrinoless double beta decay via light neutralinos in R-parity violating supersymmetry." Journal of High Energy Physics 2022, no. 3 (March 2022). http://dx.doi.org/10.1007/jhep03(2022)152.

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Abstract We perform a study of neutrinoless double beta (0νββ) decay mediated by the lightest neutralino of arbitrary mass in the minimal supersymmetric Standard Model (MSSM) under the presence of R-parity violating trilinear interactions. In this scenario, the exchange of the lightest neutralino can result in 0νββ decay of either long-range or short-range behaviour, depending on the neutralino mass. Using nuclear matrix elements calculated in the interacting boson model, we use an interpolation between the long- and short-range behaviours with an approximate formula. The non-observation of 0νββ decay is then used to place constraints on the supersymmetry parameter space, compatible with constraints from collider experiments. We compare these constraints to bounds from pion decays, CKM unitarity and big bang nucleosynthesis.

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50

Bandyopadhyay, Priyotosh, Katri Huitu, and Saurabh Niyogi. "Non-standard charged Higgs decay at the LHC in Next-to-Minimal Supersymmetric Standard Model." Journal of High Energy Physics 2016, no. 7 (July 2016). http://dx.doi.org/10.1007/jhep07(2016)015.

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