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Journal articles on the topic 'Fermion mixing'

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Author: Grafiati

Published: 11 March 2023

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1

KIKUKAWA, YOSHIO. "CHIRAL SYMMETRY AND OPERATOR MIXING IN LATTICE SU(N) THIRRING MODEL WITH SHIFT SYMMETRY." Modern Physics Letters A 07, no. 10 (March 28, 1992): 871–80. http://dx.doi.org/10.1142/s0217732392003517.

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We formulate lattice SU (N) Thirring model in which two Wilson fermions describe the respective left- and right-handed components of the Dirac fermion in the continuum model. Only chirally projected half components of the Wilson fermions have four-fermion interaction. As to their non-interacting components, there exist shift symmetries discussed by Golterman and Petcher. Axial U (1) Ward-Takahashi identity is examined by weak coupling expansion. It is shown in all orders of the weak coupling expansion that the chiral limit is achieved by simply setting fermion bare mass equal to zero, and that a lattice operator has no mixing due to the Wilson masses with the operators of wrong chiral representation and of lower dimensionality.

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2

Chiappinelli, Anna. "Exotic fermion mixing revisited." Physics Letters B 269, no. 1-2 (October 1991): 123–28. http://dx.doi.org/10.1016/0370-2693(91)91462-5.

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3

Das, Ashok K., Jorge Gamboa, Fernando Méndez, and Natalia Tapia. "Testing dark matter with the anomalous magnetic moment in a dark matter quantum electrodynamics model." Modern Physics Letters A 32, no. 33 (October 19, 2017): 1750175. http://dx.doi.org/10.1142/s0217732317501759.

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We consider a model of dark quantum electrodynamics (QEDs) which is coupled to a visible photon through a kinetic mixing term. We compute the [Formula: see text] for the dark fermion, where [Formula: see text] is its gyromagnetic factor. We show that the [Formula: see text] of the dark fermion is related to the [Formula: see text] of (visible) QEDs through a constant which depends on the kinetic mixing factor. We determine [Formula: see text] as a function of the mass ratio [Formula: see text], where [Formula: see text] and [Formula: see text] denote the masses of the dark photon and the dark fermion, respectively, and we show how [Formula: see text] becomes very different for light and heavy fermions around [Formula: see text] eV.

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4

Kaloshin, A. E., and V. P. Lomov. "Mixing of fermions and spectral representation of propagator." International Journal of Modern Physics A 31, no. 08 (March 14, 2016): 1650031. http://dx.doi.org/10.1142/s0217751x16500317.

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We develop the spectral representation of propagator for [Formula: see text] mixing fermion fields in the case of [Formula: see text]-parity violation. The approach based on the eigenvalue problem for inverse matrix propagator makes possible to build the system of orthogonal projectors and to represent the matrix propagator as a sum of poles with positive and negative energies. The procedure of multiplicative renormalization in terms of spectral representation is investigated and the renormalization matrices are obtained in a closed form without the use of perturbation theory. Since in theory with [Formula: see text]-parity violation the standard spin projectors do not commute with the dressed propagator, they should be modified. The developed approach allows us to build the modified (dressed) spin projectors for a single fermion and for a system of fermions.

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5

Głazek, Stanisław D. "Fermion Mass Mixing in Vacuum." Few-Body Systems 55, no. 5-7 (November 30, 2013): 535–44. http://dx.doi.org/10.1007/s00601-013-0743-9.

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6

Hannabuss, K. C., and D. C. Latimer. "Fermion mixing in quasifree states." Journal of Physics A: Mathematical and General 36, no. 4 (January 15, 2003): L69—L79. http://dx.doi.org/10.1088/0305-4470/36/4/101.

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7

LEMKE, E. H. "NATURAL HIERARCHICAL FLAVOR MIXING." Modern Physics Letters A 07, no. 13 (April 30, 1992): 1175–84. http://dx.doi.org/10.1142/s0217732392003633.

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We consider standard fermion doublets and Dirac fermions within the framework of a radiative mechanism of mass generation. The mass matrix represents a solution of a multi-gap equation. Taking such a solution, we compute the mass matrix of the upper (lower) members of the doublets with respect to the basis where the lower (upper) members have a mass matrix that is flavor-diagonal. If this form lies in the vicinity of its diagonalized mass matrix, the mixing will be called "natural." Naturalness relations between the products of mixing angles and ratios of flavor masses result. They are of substantial predictive power in both the case of the quarks and the leptons.

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8

Lu, Wei. "A Clifford algebra approach to chiral symmetry breaking and fermion mass hierarchies." International Journal of Modern Physics A 32, no. 26 (September 20, 2017): 1750159. http://dx.doi.org/10.1142/s0217751x17501597.

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We propose a Clifford algebra approach to chiral symmetry breaking and fermion mass hierarchies in the context of composite Higgs bosons. Standard model fermions are represented by algebraic spinors of six-dimensional binary Clifford algebra, while ternary Clifford algebra-related flavor projection operators control allowable flavor-mixing interactions. There are three composite electroweak Higgs bosons resulted from top quark, tau neutrino, and tau lepton condensations. Each of the three condensations gives rise to masses of four different fermions. The fermion mass hierarchies within these three groups are determined by four-fermion condensations, which break two global chiral symmetries. The four-fermion condensations induce axion-like pseudo-Nambu–Goldstone bosons and can be dark matter candidates. In addition to the 125 GeV Higgs boson observed at the Large Hadron Collider, we anticipate detection of tau neutrino composite Higgs boson via the charm quark decay channel.

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9

CHAMOUN, N., and S. KHALIL. "FERMION MASSES AND MIXING IN FOUR AND MORE DIMENSIONS." International Journal of Modern Physics A 21, no. 31 (December 20, 2006): 6267–301. http://dx.doi.org/10.1142/s0217751x06033131.

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We give an overview of recent progress in the study of fermion mass and flavor mixing phenomena. Mass matrix ansatze are considered within the Standard Model (SM) and SUSY GUT's where some predictive frameworks based on SU(5) and SO(10) are reviewed. We describe a variety of schemes to construct quark mass matrices in extra dimensions focusing on four major classes: models with the SM residing on 3-brane, models with universal extra dimensions, models with split fermions and models with warped extra dimensions. We outline how realistic patterns of quark mass matrices could be derived from orbifold models in heterotic superstring theory. Finally, we address the fermion mass problem in intersecting D-branes scenarios, and present models with D6-branes able to give a good quantitatively description of quark masses and mixing. The role of flavor/CP violation problem as a probe of new physics is emphasized.

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10

Vien, Vo Van, and Hoang Ngoc Long. "Neutrino mixing with nonzero θ13 and CP violation in the 3-3-1 model based on A4 flavor symmetry." International Journal of Modern Physics A 30, no. 21 (July 22, 2015): 1550117. http://dx.doi.org/10.1142/s0217751x15501171.

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We propose a 3-3-1 model with neutral fermions based on [Formula: see text] flavor symmetry responsible for fermion masses and mixings with nonzero [Formula: see text]. To get realistic neutrino mixing, we just add a new [Formula: see text] triplet being in [Formula: see text] under [Formula: see text]. The neutrinos get small masses from two [Formula: see text] antisextets and one [Formula: see text] triplet. The model can fit the present data on neutrino masses and mixing as well as the effective mass governing neutrinoless double beta decay. Our results show that the neutrino masses are naturally small and a little deviation from the tri-bimaximal neutrino mixing form can be realized. The Dirac CP violation phase [Formula: see text] is predicted to either [Formula: see text] or [Formula: see text] with [Formula: see text].

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11

FALCONE, D. "LEPTON MIXING AND SEESAW MECHANISM." International Journal of Modern Physics A 21, no. 13n14 (June 10, 2006): 3015–20. http://dx.doi.org/10.1142/s0217751x06031296.

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In the context of a typical model for fermion mass matrices, possibly based on the horizontal U (2) symmetry, we explore the effect of the type II seesaw mechanism on lepton mixings. We find that the combined contribution of type I and type II terms is able to explain the large but not maximal 1-2 mixing and the near maximal 2-3 mixing, while the 1-3 mixing angle is predicted to be small.

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12

CYNOLTER, G., E. LENDVAI, and G. PÓCSIK. "S AND T PARAMETERS IN THE FERMION CONDENSATE MODEL." Modern Physics Letters A 24, no. 29 (September 21, 2009): 2331–44. http://dx.doi.org/10.1142/s0217732309031594.

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We calculate the oblique electroweak corrections and confront them with the experiments in a composite Higgs version of the standard model. A vector-like weak doublet and a singlet fermion are added to the standard model without elementary Higgs. Due to quartic coupling, there is a mixing between the components of the new fields triggering electroweak symmetry breaking. The Peskin–Takeuchi S and T electroweak parameters are presented. The new sector of vector-like fermions is slightly constrained, T gives an upper bound on the mixing angle of the new fermions, which is already constrained by self-consistent gap-equations. S gives no constraints on the masses. This extension can give a positive contribution to T, allowing for a heavy Higgs boson in electroweak precision tests of the Standard Model.

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13

Gambino, P., P. A. Grassi, and F. Madricardo. "Fermion mixing renormalization and gauge invariance." Physics Letters B 454, no. 1-2 (May 1999): 98–104. http://dx.doi.org/10.1016/s0370-2693(99)00321-4.

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14

Kanai, Tsuneto, and Shinji Tsujikawa. "MSW-resonant fermion mixing during reheating." Nuclear Physics B 670, no. 1-2 (October 2003): 289–306. http://dx.doi.org/10.1016/j.nuclphysb.2003.08.008.

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15

PAPINI, GIORGIO. "FERMION–ANTIFERMION MIXING IN GRAVITATIONAL FIELDS." Modern Physics Letters A 28, no. 17 (June 4, 2013): 1350071. http://dx.doi.org/10.1142/s0217732313500715.

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Mixing of fermion and antifermion states occurs in gravitational interactions, leading to non-conservation of fermion number above temperatures determined by the particle masses. We study the evolution of a [Formula: see text]-system and calculate the cross-sections for the reactions [Formula: see text]. Their values are identical in both directions. However, if [Formula: see text] changes quickly into a lighter antiparticle, then the reaction symmetry is broken, resulting in an increased production of matter over antimatter.

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16

Blasone, M., and G. Vitiello. "Quantum Field Theory of Fermion Mixing." Annals of Physics 244, no. 2 (December 1995): 283–311. http://dx.doi.org/10.1006/aphy.1995.1115.

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17

Ohlsson, Tommy. "Bimaximal fermion mixing from the quark and leptonic mixing matrices." Physics Letters B 622, no. 1-2 (August 2005): 159–64. http://dx.doi.org/10.1016/j.physletb.2005.07.003.

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18

Bhatti, A. Aziz, and Harald Fritzsch. "Zero texture lepton mass matrices and near tribimaximal mixing in the SO(10) theory." Modern Physics Letters A 29, no. 12 (April 20, 2014): 1450059. http://dx.doi.org/10.1142/s021773231450059x.

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We have described the quark and lepton masses and mixings in context of non-SUSY SO(10) and "four-zero-texture" (FZT). In the FZT case, the fermion masses and the mixing angles can be related. We predict the neutrino masses using the near tribimaximal (TBM) mixing and the triminimal mixing. Our results show that under TBM, the neutrinos have a normal, but weak hierarchy. Variations of the neutrino masses under the "Near TBM-scenario" are also discussed.

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19

TAKEUCHI, YOUSUKE, and HIROYUKI MORI. "MOTT TRANSITION IN ONE-DIMENSIONAL BOSON-FERMION MIXTURES." International Journal of Modern Physics B 20, no. 05 (February 20, 2006): 617–25. http://dx.doi.org/10.1142/s0217979206033486.

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We numerically investigated Mott transitions and mixing-demixing transitions in one-dimensional boson-fermion mixtures at a commensurate filling. The mixing-demixing transition occurred in a qualitatively similar manner to incommensurate filling cases. We also found the Mott insulator phase appeared in both the mixing and the demixing states as the fermion-boson interaction or the boson-boson interaction increased. Phase diagrams were obtained in interaction parameter space.

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20

Takeuchi, Yousuke, and Hiroyuki Mori. "Mixing–Demixing Transition in 1D Boson–Fermion Mixture at Low Fermion Densities." Journal of the Physical Society of Japan 74, no. 12 (December 2005): 3391–92. http://dx.doi.org/10.1143/jpsj.74.3391.

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21

Hannabuss, K. C., and D. C. Latimer. "The quantum field theory of fermion mixing." Journal of Physics A: Mathematical and General 33, no. 7 (February 10, 2000): 1369–73. http://dx.doi.org/10.1088/0305-4470/33/7/307.

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22

Aguilar–Saavedra, Juan Antonio. "Light Higgs boson discovery from fermion mixing." Journal of High Energy Physics 2006, no. 12 (December 11, 2006): 033. http://dx.doi.org/10.1088/1126-6708/2006/12/033.

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23

Tao, Zhijian. "Spontaneous family symmetry breaking and fermion mixing." Physics Letters B 355, no. 3-4 (August 1995): 518–22. http://dx.doi.org/10.1016/0370-2693(95)00742-4.

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24

Lazarides, G., and Q. Shafi. "Fermion masses and mixing in SO(10)." Nuclear Physics B 350, no. 1-2 (February 1991): 179–92. http://dx.doi.org/10.1016/0550-3213(91)90257-x.

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25

Nardi, Enrico, Esteban Roulet, and Daniele Tommasini. "Global analysis of fermion mixing with exotics." Nuclear Physics B 386, no. 2 (November 1992): 239–66. http://dx.doi.org/10.1016/0550-3213(92)90566-t.

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26

YOSHIOKA, KOICHI. "ON FERMION MASS HIERARCHY WITH EXTRA DIMENSIONS." Modern Physics Letters A 15, no. 01 (January 10, 2000): 29–39. http://dx.doi.org/10.1142/s0217732300000062.

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Recently, various phenomenological implications of the existence of extra space–time dimensions have been investigated. In this letter, we construct a model with realistic fermion mass hierarchy with (large) extra dimensions beyond the usual four dimensions. In this model, it is assumed that some matter fields live in the bulk and the others are confined to our four-dimensional wall. It can naturally reproduce the quark and lepton mass hierarchy and mixing angles without any symmetry arguments. We also discuss some possibilities of obtaining suitable neutrino masses and mixings for the solar and atmospheric neutrino problems.

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27

KALOSHIN, A. E., E. A. KOBELEVA, and V. P. LOMOV. "MIXING OF FERMION FIELDS OF OPPOSITE PARITIES AND BARYON RESONANCES." International Journal of Modern Physics A 26, no. 14 (June 10, 2011): 2307–26. http://dx.doi.org/10.1142/s0217751x11053389.

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We consider a loop mixing of two fermion fields of opposite parities whereas the parity is conserved in Lagrangian. Such kind of mixing is specific for fermions and has no analogy in boson case. Possible applications of this effect may be related with physics of baryon resonances. The obtained matrix propagator defines a pair of unitary partial amplitudes which describe the production of resonances of spin J and different parity 1/2± or 3/2±. The use of our amplitudes for joint description of πN partial waves P13 and D13 shows that the discussed effect is clearly seen in these partial waves as the specific form of interference between resonance and background. Another interesting application of this effect may be related with partial waves S11 and P11, where the picture is more complicated due to presence of several resonance states.

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28

ZHANG, YING. "ANOMALY CANCELLATION IMPLICATION FOR Z′ DECAY TO FERMION PAIR." Modern Physics Letters A 26, no. 29 (September 21, 2011): 2201–11. http://dx.doi.org/10.1142/s0217732311036474.

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Z′ boson vector and axial vector couplings to fermions are studied in terms of anomaly cancellation in the condition of small Z–Z′ mixing. The anomaly-free U(1)′ charge assignment that parametrized by two independent charges is proposed. Z′ decay width to fermion pair [Formula: see text], hadron-to-lepton ratio [Formula: see text], hadron branching ratio [Formula: see text], left–right asymmetry [Formula: see text] and forward–backward asymmetry [Formula: see text] are investigated. A special sum rule of Z′ decay widths is also derived.

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29

TRIANTAPHYLLOU, GEORGE. "MASS GENERATION AND THE DYNAMICAL ROLE OF THE KATOPTRON GROUP." Modern Physics Letters A 16, no. 02 (January 20, 2001): 53–61. http://dx.doi.org/10.1142/s0217732301002274.

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Heavy mirror fermions along with a new strong gauge interaction capable of breaking the electroweak gauge symmetry dynamically were recently introduced under the name of katoptrons. Their main function is to provide a viable alternative to the Standard-Model Higgs sector. In such a framework, ordinary fermions acquire masses after the breaking of the strong katoptron group which allows mixing with their katoptron partners. The purpose of this letter is to study the elementary-scalars-free mechanism responsible for this breaking and its implications for the fermion mass hierarchies.

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30

Arbuzov, Andrej, Serge Bondarenko, and Lidia Kalinovskaya. "Asymmetries in Processes of Electron–Positron Annihilation." Symmetry 12, no. 7 (July 7, 2020): 1132. http://dx.doi.org/10.3390/sym12071132.

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Processes of electron–positron annihilation into a pair of fermions were considered. Forward–backward and left–right asymmetries were studied, taking into account polarization of initial and final particles. Complete 1-loop electroweak radiative corrections were included. A wide energy range including the Z boson peak and higher energies relevant for future e + e − colliders was covered. Sensitivity of observable asymmetries to the electroweak mixing angle and fermion weak coupling was discussed.

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31

Vien, V. V. "Neutrino mass and mixing in the 3-3-1 model with neutral leptons based on D4flavor symmetry." Modern Physics Letters A 29, no. 23 (July 24, 2014): 1450122. http://dx.doi.org/10.1142/s0217732314501223.

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We propose a new D4flavor model based on SU (3)C⊗ SU (3)L⊗ U (1)Xgauge symmetry responsible for fermion masses and mixings in which all fermion fields act only as singlets under D4which differs from our previous work. The neutrinos get small masses from two SU (3)Lanti-sextets and one SU (3)Ltriplet which are all in singlets under D4. If a SU (3)LHiggs triplet, lying in [Formula: see text] under D4, is considered as a perturbation the corresponding neutrino mass mixing matrix gets the most general form. In this case, the model can fit the most recent data on neutrino masses and mixing with nonzero θ13. Our results show that the neutrino masses are naturally small. The sum of three light neutrino masses and the effective mass governing neutrinoless double beta decay are obtained that are consistent with the recent data.

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32

TULLY, M. B., and G. C. JOSHI. "FERMION MASSES AND MIXING IN 331 MODELS WITH HORIZONTAL SYMMETRY." Modern Physics Letters A 13, no. 25 (August 20, 1998): 2065–75. http://dx.doi.org/10.1142/s0217732398002187.

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The possibility of adding an SU(2) horizontal symmetry to the 331 model is studied. It is found that simple, anomaly-free fermion assignments can be made which lead to plausible results for fermion masses and mixings. In particular, all particles of the first generation are massless at tree-level, and the CKM matrix acquires a realistic form.

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33

Roque, Armando A., and L. Arturo Ureña-López. "Horndeski fermion–boson stars." Classical and Quantum Gravity 39, no. 4 (January 21, 2022): 044001. http://dx.doi.org/10.1088/1361-6382/ac4614.

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Abstract We establish the existence of static and spherically symmetric fermion–boson stars, in a low energy effective model of (beyond) Horndeski theories. These stars are in equilibrium, and are composed by a mixing of scalar and fermionic matters that only interact gravitationally one with each other. Properties such as mass, radius, and compactness are studied, highlighting the existence of two families of configurations defined by the parameter c 4. These families have distinctive properties, although in certain limits both are reduced to their counterparts in general relativity (GR). Finally, by assuming the same conditions used in GR, we find the maximum compactness of these hybrid stars and determine that it remains below the so-called Buchdahl’s limit.

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34

Saldana-Salazar, U. J., and K. M. Tame-Narvaez. "The mass ratios parametrization." International Journal of Modern Physics A 34, no. 01 (January 10, 2019): 1950007. http://dx.doi.org/10.1142/s0217751x19500076.

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The observed hierarchy in the fermion masses, which imply a set of small mass ratios, is not naturally small regarding ’t Hooft’s criteria. In this work, in a model independent approach, we introduce a set of conditions by which fermion mass ratios become natural. Interestingly, these conditions demand that fermion mixing should be described by the four independent mass ratios of each fermion sector. Application of this set of conditions to the standard theory enables one to understand the mains aspects in quark and lepton mixing. This feature can be taken as a strong evidence for the existence in Nature of a flavor symmetry. Also, for this analysis to work in the lepton sector, neutrino masses should have normal ordering with the lightest neutrino mass satisfying the lower bound, [Formula: see text], making the approach testable.

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35

Mei, Jian-Wei, and Zhi-Zhong Xing. "Impact of fermion mass degeneracy on flavour mixing." Journal of Physics G: Nuclear and Particle Physics 30, no. 9 (August 3, 2004): 1243–51. http://dx.doi.org/10.1088/0954-3899/30/9/022.

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36

Canales, F. González, A. Mondragón, M. Mondragón, U. J. Saldaña Salazar, and L. Velasco-Sevilla. "Fermion mixing in anS3model with three Higgs doublets." Journal of Physics: Conference Series 447 (July 24, 2013): 012053. http://dx.doi.org/10.1088/1742-6596/447/1/012053.

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37

Saldaña-Salazar, U. J. "Fermion masses as mixing parameters in the SM." Journal of Physics: Conference Series 761 (October 2016): 012045. http://dx.doi.org/10.1088/1742-6596/761/1/012045.

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38

Diener, K. P. O., and B. A. Kniehl. "On-mass-shell renormalization of fermion mixing matrices." Nuclear Physics B 617, no. 1-3 (December 2001): 291–307. http://dx.doi.org/10.1016/s0550-3213(01)00453-9.

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39

Yang, Wei-Min, and Zhi-Gang Wang. "Fermion masses and flavor mixing in supersymmetric model." Nuclear Physics B 707, no. 1-2 (February 2005): 87–99. http://dx.doi.org/10.1016/j.nuclphysb.2004.11.042.

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40

KALOSHIN, A. E., E. A. KOBELEVA, and V. P. LOMOV. "OPPOSITE PARITY FERMION MIXING AND BARYONS 1/2±." Modern Physics Letters A 28, no. 34 (October 17, 2013): 1350156. http://dx.doi.org/10.1142/s0217732313501563.

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We develop a variant of K-matrix, which includes the effect of opposite parity fermions (OPF) mixing, and apply it for description of πN partial waves S11 and P11. OPF-mixing leads to appearance of negative energy poles in K-matrix and restoration of MacDowell symmetry, relating two partial waves. Joint analysis of PWA results for S11 and P11 confirms significance of this effect.

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41

Ibáñez, Luis, and Graham G. Ross. "Fermion masses and mixing angles from gauge symmetries." Physics Letters B 332, no. 1-2 (July 1994): 100–110. http://dx.doi.org/10.1016/0370-2693(94)90865-6.

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42

Bec´irevic´, D., V. Gime´nez, V. Lubicz, G. Martinelli, M. Papinutto, and J. Reyes. "Non-perturbative renormalisation of four fermion operators andB0 −B¯0 mixing with Wilson fermions." Nuclear Physics B - Proceedings Supplements 119 (May 2003): 619–21. http://dx.doi.org/10.1016/s0920-5632(03)01641-4.

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43

Vien, V. V., and H. N. Long. "A NewS4Flavor Symmetry in 3-3-1 Model with Neutral Fermions." Advances in High Energy Physics 2014 (2014): 1–24. http://dx.doi.org/10.1155/2014/192536.

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A newS4flavor model based onSU(3)C⊗SU(3)L⊗U(1)Xgauge symmetry responsible for fermion masses and mixings is constructed. The neutrinos get small masses from only an antisextet ofSU(3)Lwhich is in a doublet underS4. In this work, we assume the VEVs of the antisextet differ from each other underS4and the difference of these VEVs is regarded as a small perturbation, and then the model can fit the experimental data on neutrino masses and mixings. Our results show that the neutrino masses are naturally small and a deviation from the tribimaximal neutrino mixing form can be realized. The quark masses and mixing matrix are also discussed. The number of required Higgs multiplets is less and the scalar potential of the model is simpler than those of the model based onS3and our previousS4model. The assignation of VEVs to antisextet leads to the mixing of the new gauge bosons and those in the standard model. The mixing in the charged gauge bosons as well as the neutral gauge bosons is considered.

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44

LAM, C. S. "HORIZONTAL SYMMETRY." International Journal of Modern Physics A 23, no. 21 (August 20, 2008): 3371–75. http://dx.doi.org/10.1142/s0217751x08042146.

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45

Majarshin, A. J., Yan-An Luo, Feng Pan, H. T. Fortune, Yu Zhang, and J. P. Draayer. "Quantum phase transitions and band mixing in ¹³⁵Ba." Journal of Physics G: Nuclear and Particle Physics 48, no. 12 (November 10, 2021): 125107. http://dx.doi.org/10.1088/1361-6471/ac2fb1.

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Abstract Quantum phase transitions and band-mixing phenomena are considered within the framework of a two-state boson–fermion model for the odd-mass 135Ba nucleus. The purpose of the study is to further explore the nature of the interplay between these modalities within the framework of an even–even boson core described by an IBM Hamiltonian coupled to a j = 3/2 fermion as a function of the strength of the coupling constant that links the boson and fermion pictures. The results show that excitation energies and the known E2 strengths of 135Ba are sensitive to the strength of the coupling constant, with a best fit to known experimental results yielding results that lie close to those of the recently proposed E(5/4) model.

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46

FROGGATT, C. D., M. GIBSON, H. B. NIELSEN, and D. J. SMITH. "FERMION MASSES, NEUTRINO MIXING AND CP VIOLATION FROM THE ANTI-GRAND-UNIFICATION MODEL." International Journal of Modern Physics A 13, no. 29 (November 20, 1998): 5037–74. http://dx.doi.org/10.1142/s0217751x98002353.

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The fermion masses and mixing angles are fitted using only three free parameters in a nonsupersymmetric extension of the Standard Model, with new, approximately conserved chiral gauge quantum numbers broken by a set of Higgs fields. The fundamental mass scale of this anti-grand-unification model is given by the Planck mass. We also calculate neutrino mixing angles and masses, as well as CP violation from the CKM matrix. A good fit to the observed fermion masses is obtained, but our predictions of the neutrino masses are too small to lead to any observable neutrino oscillation effects claimed today, without introducing another mass scale. We also give some arguments in support of this type of model based on the observed fermion masses.

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47

CHEN, MU-CHUN, and K. T. MAHANTHAPPA. "FERMION MASSES AND MIXING AND CP-VIOLATION IN SO(10) MODELS WITH FAMILY SYMMETRIES." International Journal of Modern Physics A 18, no. 32 (December 30, 2003): 5819–88. http://dx.doi.org/10.1142/s0217751x03017026.

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Several ideas for solving the problem of fermion mass hierarchy and mixing and specific supersymmetric models that realize it are reviewed. In particular, we discuss many models based on SO(10) in four dimensions combined with a family symmetry to accommodate fermion mass hierarchy and mixing, including the case of neutrinos. These models are compared and various tests that can be used to distinguish these models are suggested. We also include a discussion of a few SO(10) models in higher space–time dimensions.

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48

Lampe, Bodo. "A microscopic approach to quark and lepton masses and mixings." International Journal of Modern Physics A 30, no. 04n05 (February 11, 2015): 1550025. http://dx.doi.org/10.1142/s0217751x15500256.

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In recent papers, a microscopic model for the SM Higgs mechanism has been proposed, and an idea how to determine the 24 quark and lepton masses of all three generations has emerged in that framework. This idea is worked out in detail here by accommodating the fermion masses and mixings to microscopic parameters. The top quark mass can be given in terms of the Fermi scale and of certain exchange couplings of isospin vectors obeying a tetrahedral symmetry. The observed hierarchy in the family spectrum is attributed to a natural hierarchy in the microscopic couplings. The neutrinos will be shown to vibrate within the potential valleys of the system, thus retaining very tiny masses. This is related to a Goldstone effect inside the internal dynamics. A discussion of the quark and lepton mixing matrices is also included. The mixing angles of the PMNS matrix are calculated for an example set of parameters, and a value for the CP-violating phase is given.

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GUPTA, MANMOHAN, and GULSHEEN AHUJA. "FLAVOR MIXINGS AND TEXTURES OF THE FERMION MASS MATRICES." International Journal of Modern Physics A 27, no. 31 (December 13, 2012): 1230033. http://dx.doi.org/10.1142/s0217751x12300335.

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A comprehensive review of several aspects of fermion mixing phenomenon and texture specific mass matrices have been presented. Regarding fermion mixings, implications of unitarity and certain new developments for the CKM paradigm have been discussed. In the leptonic sector, the question of possibility of CP violation has been discussed in detail from the unitarity triangle perspective. In the case of texture specific mass matrices, the issues of viability of Fritzsch-like as well as non-Fritzsch-like mass matrices have been detailed for both the quark and leptonic sectors. The relationship of textures, naturalness and weak basis rotations has also been looked into. The issue of the compatibility of texture specific mass matrices with the SO(10)-based GUT mass matrices has also been discussed.

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MACHADO, A. C. B., J. C. MONTERO, and V. PLEITEZ. "ON FERMION MASSES AND MIXING IN A MODEL WITH A4 SYMMETRY." International Journal of Modern Physics A 27, no. 12 (May 4, 2012): 1250068. http://dx.doi.org/10.1142/s0217751x12500686.

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In a recently proposed multi-Higgs extension of the standard model in which discrete symmetries, A4 and Z3 are imposed we show that, after accommodating the fermion masses and the mixing matrices in the charged currents, the mixing matrices in the neutral currents induced by neutral scalars are numerically obtained. However, the flavor changing neutral currents are under control mainly by mixing and/or mass suppressions in the neutral scalar sector.

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