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Journal articles on the topic 'Family symmetry'

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Published: 11 March 2023

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1

Frampton, Paul H. "Family symmetry." Pramana 45, S1 (October 1995): 113–16. http://dx.doi.org/10.1007/bf02907969.

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2

Shafaq, Saba, and Mariam Saleh Khan. "Left right symmetric model with additional family symmetry." Physics Essays 30, no. 2 (June 13, 2017): 161–67. http://dx.doi.org/10.4006/0836-1398-30.2.161.

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3

Elwood, John K., Nikolaos Irges, and Pierre Ramond. "Family Symmetry and Neutrino Mixing." Physical Review Letters 81, no. 23 (December 7, 1998): 5064–67. http://dx.doi.org/10.1103/physrevlett.81.5064.

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4

Grinstein, Benjamin, John Preskill, and Mark B. Wise. "Neutrino masses and family symmetry." Physics Letters B 159, no. 1 (September 1985): 57–61. http://dx.doi.org/10.1016/0370-2693(85)90119-4.

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5

Chang, Darwin, Palash B. Pal, and Goran Senjanović. "Axions from chiral family symmetry." Physics Letters B 153, no. 6 (April 1985): 407–11. http://dx.doi.org/10.1016/0370-2693(85)90482-4.

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6

Babu, K. S., and Sandip Pakvasa. "Neutrino masses and family symmetry." Physics Letters B 172, no. 3-4 (May 1986): 360–62. http://dx.doi.org/10.1016/0370-2693(86)90270-4.

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7

KAJIYAMA, YUJI. "R-Parity Violation and Family Symmetry." International Journal of Modern Physics A 22, no. 31 (December 20, 2007): 5909–19. http://dx.doi.org/10.1142/s0217751x07039110.

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In this talk, we investigate the implications of R-parity violating (RPV) operators in a model with family symmetry 1. Family symmetry can determine the form of RPV operators as well as the Yukawa matrices. We consider a concrete model with non-abelian discrete symmetry Q6, which has only three RPV trilinear operators with no baryon number violating terms. We find that ratios of decay rates of the lepton flavor violating processes are fixed thanks to the family symmetry, predicting [Formula: see text].
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8

CHENG, K. H. F., R. K. GUY, R. SCHEIDLER, and H. C. WILLIAMS. "CLASSIFICATION AND SYMMETRIES OF A FAMILY OF CONTINUED FRACTIONS WITH BOUNDED PERIOD LENGTH." Journal of the Australian Mathematical Society 93, no. 1-2 (October 2012): 53–76. http://dx.doi.org/10.1017/s1446788712000602.

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AbstractIt is well known that the regular continued fraction expansion of a quadratic irrational is symmetric about its centre; we refer to this symmetry as horizontal. However, an additional vertical symmetry is exhibited by the continued fraction expansions arising from a family of quadratics known as Schinzel sleepers. This paper provides a method for generating every Schinzel sleeper and investigates their period lengths as well as both their horizontal and vertical symmetries.
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9

Ramage, Michael R., and Graham G. Ross. "Soft SUSY breaking and family symmetry." Journal of High Energy Physics 2005, no. 08 (August 8, 2005): 031. http://dx.doi.org/10.1088/1126-6708/2005/08/031.

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10

King, Stephen F., and Christoph Luhn. "A new family symmetry for GUTs." Nuclear Physics B 820, no. 1-2 (October 2009): 269–89. http://dx.doi.org/10.1016/j.nuclphysb.2009.05.020.

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11

WU, YUE-LIANG. "MAXIMALLY SYMMETRIC MINIMAL UNIFICATION MODEL SO(32) WITH THREE FAMILIES IN TEN-DIMENSIONAL SPACETIME." Modern Physics Letters A 22, no. 04 (February 10, 2007): 259–71. http://dx.doi.org/10.1142/s0217732307022591.

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Based on a maximally symmetric minimal unification hypothesis and a quantum charge-dimension correspondence principle, it is demonstrated that each family of quarks and leptons belongs to the Majorana–Weyl spinor representation of 14 dimensions that relate to quantum spin-isospin-color charges. Families of quarks and leptons attribute to a spinor structure of extra six dimensions that relate to quantum family charges. Of particular, it is shown that ten dimensions relating to quantum spin-family charges form a motional ten-dimensional quantum spacetime with a generalized Lorentz symmetry SO (1, 9), and ten dimensions relating to quantum isospin-color charges become a motionless ten-dimensional quantum intrinsic space. Its corresponding 32-component fermions in the spinor representation possess a maximal gauge symmetry SO (32). As a consequence, a maximally symmetric minimal unification model SO (32) containing three families in ten-dimensional quantum spacetime is naturally obtained by choosing a suitable Majorana–Weyl spinor structure into which quarks and leptons are directly embedded. Both resulting symmetry and dimensions coincide with those of type I string and heterotic string SO (32) in string theory.
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12

Bruce, J. W., P. J. Giblin, and C. G. Gibson. "Symmetry sets." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 101, no. 1-2 (1985): 163–86. http://dx.doi.org/10.1017/s0308210500026263.

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SynopsisFor a smooth manifold M ⊆ ℝn, the symmetry set S(M) is defined to be the closure of the set of points u∈ℝn which are centres of spheres tangent to M at two or more distinct points. (The idea has its origin in the theory of shape recognition.) The connexion with singularities is that S(M) can be described alternatively as the levels bifurcation set of the family of distance-squared functions on M. In this paper a multi-germ version of the standard uniqueness result for versal unfoldings of potential functions is used to obtain a complete list of local normal forms (up to diffeomorphism) for the symmetry sets of generic plane curves, generic space curves, and generic surfaces in 3-space. For these cases the authors verify that M can be recovered as the envelope of a family of spheres centred at smooth points of S(M).
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13

BAGCHI, B., S. MALLIK, and C. QUESNE. "PT-SYMMETRIC SQUARE WELL AND THE ASSOCIATED SUSY HIERARCHIES." Modern Physics Letters A 17, no. 25 (August 20, 2002): 1651–64. http://dx.doi.org/10.1142/s0217732302008009.

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The PT-symmetric square well problem is considered in a SUSY framework. When the coupling strength Z lies below the critical value [Formula: see text] where PT symmetry becomes spontaneously broken, we find a hierarchy of SUSY partner potentials, depicting an unbroken SUSY situation and reducing to the family of sec 2-like potentials in the Z → 0 limit. For Z above [Formula: see text], there is a rich diversity of SUSY hierarchies, including some with PT-symmetry breaking and some with partial PT-symmetry restoration.
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14

Dziewit, Bartosz, Jacek Holeczek, Sebastian Zając, and Marek Zrałek. "Family Symmetries and Multi Higgs Doublet Models." Symmetry 12, no. 1 (January 12, 2020): 156. http://dx.doi.org/10.3390/sym12010156.

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Imposing a family symmetry on the Standard Model in order to reduce the number of its free parameters, due to the Schur’s Lemma, requires an explicit breaking of this symmetry. To avoid the need for this symmetry to break, additional Higgs doublets can be introduced. In such an extension of the Standard Model, we investigate family symmetries of the Yukawa Lagrangian. We find that adding a second Higgs doublet (2HDM) does not help, at least for finite subgroups of the U ( 3 ) group up to the order of 1025.
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15

May, Coy L. "A Family of M*-Groups." Canadian Journal of Mathematics 38, no. 5 (October 1, 1986): 1094–109. http://dx.doi.org/10.4153/cjm-1986-054-8.

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A compact bordered Klein surface of (algebraic) genus g ≦ 2 is said to have maximal symmetry [5] if its automorphism group is of order 12(g – 1), the largest possible. An M*-group acts as the automorphism group of a bordered surface with maximal symmetry. M*-groups were first studied in [6], and additional results about these groups are in [5, 7, 8].Here we construct a new, interesting family of M*-groups. Each group G in the family is an extension of a cyclic group by the automorphism group of a torus T with holes that has maximal symmetry. Furthermore, G acts on a bordered Klein surface X that is a fully wound covering [7] of T, that is, an especially nice covering in which X has the same number of boundary components as T. The construction we use for the new family of M*-groups is a standard one that employs group automorphisms to define extensions of groups.
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16

Zhang Feng, Zhang Chun-Xu, and Huang Ming-Qiu. "Neutrino masses in the left-right symmetry model with a family symmetry." Acta Physica Sinica 59, no. 5 (2010): 3130. http://dx.doi.org/10.7498/aps.59.3130.

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17

Yang, Wei-Min, and Hong-Huan Liu. "The new extended left–right symmetric grand unified model with family symmetry." Nuclear Physics B 820, no. 1-2 (October 2009): 364–84. http://dx.doi.org/10.1016/j.nuclphysb.2009.05.028.

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18

SAWANAKA, HIDEYUKI. "QUARK AND LEPTON MASS MATRICES WITH A4 FAMILY SYMMETRY." International Journal of Modern Physics E 16, no. 05 (June 2007): 1383–93. http://dx.doi.org/10.1142/s0218301307006745.

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Realistic quark masses and mixing angles are obtained applying the successful A4 family symmetry for leptons, motivated by the quark-lepton assignments of SU (5). The A4 symmetry is suitable to give tri-bimaximal neutrino mixing matrix which is consistent with current experimental data. We study new scenario for the quark sector with the A4 symmetry.
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19

MA, ERNEST. "LEPTON FAMILY SYMMETRY AND NEUTRINO MASS MATRIX." Modern Physics Letters A 19, no. 08 (March 14, 2004): 577–82. http://dx.doi.org/10.1142/s0217732304013374.

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The standard model of leptons is extended to accommodate a discrete Z3×Z2 family symmetry. After rotating the charged-lepton mass matrix to its diagonal form, the neutrino mass matrix reveals itself as very suitable for explaining atmospheric and solar neutrino oscillation data. A generic requirement of this approach is the appearance of three Higgs doublets at the electroweak scale, with observable flavor violating decays.
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20

Ishimori, Hajime, Stephen F. King, Hiroshi Okada, and Morimitsu Tanimoto. "Quark mixing from Δ(6N2) family symmetry." Physics Letters B 743 (April 2015): 172–79. http://dx.doi.org/10.1016/j.physletb.2015.02.027.

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21

Allanach, B. C., S. F. King, G. K. Leontaris, and S. Lola. "Yukawa textures from family symmetry and unification." Physics Letters B 407, no. 3-4 (September 1997): 275–82. http://dx.doi.org/10.1016/s0370-2693(97)00733-8.

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22

Sumino, Yukinari. "Family gauge symmetry and Koide's mass formula." Physics Letters B 671, no. 4-5 (February 2009): 477–80. http://dx.doi.org/10.1016/j.physletb.2008.12.060.

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23

Chen, Shao-Long, Michele Frigerio, and Ernest Ma. "Hybrid seesaw neutrino masses with family symmetry." Nuclear Physics B 724, no. 1-2 (September 2005): 423–31. http://dx.doi.org/10.1016/j.nuclphysb.2005.07.012.

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24

Evans, N. J., S. F. King, and D. A. Ross. "Top quark condensation from broken family symmetry." Zeitschrift für Physik C Particles and Fields 60, no. 3 (September 1993): 509–17. http://dx.doi.org/10.1007/bf01560049.

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25

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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26

King, Stephen F., and Michal Malinský. "A4 family symmetry and quark–lepton unification." Physics Letters B 645, no. 4 (February 2007): 351–57. http://dx.doi.org/10.1016/j.physletb.2006.12.006.

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27

Heatherington, Laurie, and Myrna L. Friedlander. "Complementarity and symmetry in family therapy communication." Journal of Counseling Psychology 37, no. 3 (July 1990): 261–68. http://dx.doi.org/10.1037/0022-0167.37.3.261.

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28

DU, DONGSHENG, and CHUN LIU. "CYCLIC FAMILY SYMMETRY AND LEPTON HIERARCHY IN SUPERSYMMETRY." Modern Physics Letters A 10, no. 25 (August 20, 1995): 1837–41. http://dx.doi.org/10.1142/s0217732395001976.

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A cyclic symmetry among the left-handed doublets of the three families is proposed. This symmetry can naturally result in a realistic hierarchical pattern of the fermion masses within the framework of supersymmetry with nonvanishing sneutrino vacuum expectation values.
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29

MA, ERNEST. "HIDING THE EXISTENCE OF A FAMILY SYMMETRY IN THE STANDARD MODEL." Modern Physics Letters A 20, no. 36 (November 30, 2005): 2767–74. http://dx.doi.org/10.1142/s0217732305018815.

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If a family symmetry exists for the quarks and leptons, the Higgs sector is expected to be enlarged to be able to support the transformation properties of this symmetry. There are, however, three possible generic ways (at tree level) of hiding this symmetry in the context of the Standard Model with just one Higgs doublet. All three mechanisms have their natural realizations in the unification symmetry E6 and one in SO (10). An interesting example based on SO (10)×A4 for the neutrino mass matrix is discussed.
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30

MA, ERNEST. "A4 SYMMETRY AND NEUTRINOS." International Journal of Modern Physics A 23, no. 21 (August 20, 2008): 3366–70. http://dx.doi.org/10.1142/s0217751x08042134.

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31

Sawada, Tadamasa, Yunfeng Li, and Zygmunt Pizlo. "Any Pair of 2D Curves Is Consistent with a 3D Symmetric Interpretation." Symmetry 3, no. 2 (June 10, 2011): 365–88. http://dx.doi.org/10.3390/sym3020365.

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Symmetry has been shown to be a very effective a priori constraint in solving a 3D shape recovery problem. Symmetry is useful in 3D recovery because it is a form of redundancy. There are, however, some fundamental limits to the effectiveness of symmetry. Specifically, given two arbitrary curves in a single 2D image, one can always find a 3D mirror-symmetric interpretation of these curves under quite general assumptions. The symmetric interpretation is unique under a perspective projection and there is a one parameter family of symmetric interpretations under an orthographic projection. We formally state and prove this observation for the case of one-to-one and many-to-many point correspondences. We conclude by discussing the role of degenerate views, higher-order features in determining the point correspondences, as well as the role of the planarity constraint. When the correspondence of features is known and/or curves can be assumed to be planar, 3D symmetry becomes non-accidental in the sense that a 2D image of a 3D asymmetric shape obtained from a random viewing direction will not allow for 3D symmetric interpretations.
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32

MA, ERNEST. "TETRAHEDRAL FAMILY SYMMETRY AND THE NEUTRINO MIXING MATRIX." Modern Physics Letters A 20, no. 34 (November 10, 2005): 2601–5. http://dx.doi.org/10.1142/s0217732305018736.

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In a new application of the discrete non-Abelian symmetry A4 using the canonical seesaw mechanism, a three-parameter form of the neutrino mass matrix is derived. It predicts the following mixing angles for neutrino oscillations: θ13=0, sin 2θ23=1/2, and sin 2θ12 close, but not exactly equal to 1/3, in one natural symmetry limit.
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33

KONG, OTTO C. W. "A NEW APPROACH TO THE FAMILY STRUCTURE." Modern Physics Letters A 11, no. 31 (October 10, 1996): 2547–54. http://dx.doi.org/10.1142/s0217732396002551.

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In this letter, we introduce a new approach to formulate the family structure of the standard model. Trying to mimic the highly constrained representation structure of the standard model while extending the symmetry, we propose an SU (4) ⊗ SU (3) ⊗ SU (2) ⊗ U (1) symmetry with a SM-like chiral spectra basically “derived” from the gauge anomaly constraints. Embedding the SM leads to SU (4)A ⊗ SU (3)C ⊗ SU (2)L ⊗ U (1)X models, which upon the SU (4)A ⊗ U (1)Y symmetry breaking, gives the three families naturally as a result. A specific model obtained from the approach is illustrated. The model, or others from our approach, holds promise of a very interesting phenomenology. We sketch some of the results here. An interesting possibility of supersymmetrizing the model with the EW-Higgses already in the spectrum is noted. A comparison with other approaches is also discussed.
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34

Swamy, Sondekola Rudra, and Luminiţa-Ioana Cotîrlă. "On τ-Pseudo-ν-Convex κ-Fold Symmetric Bi-Univalent Function Family." Symmetry 14, no. 10 (September 21, 2022): 1972. http://dx.doi.org/10.3390/sym14101972.

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The object of this article is to explore a τ-pseudo-ν-convex κ-fold symmetric bi-univalent function family satisfying subordinations condition generalizing certain previously examined families. We originate the initial Taylor–Maclaurin coefficient estimates of functions in the defined family. The classical Fekete–Szegö inequalities for functions in the defined τ-pseudo-ν-convex family is also estimated. Furthermore, we present some of the special cases of the main results. Relevant connections with those in several earlier works are also pointed out. Our study in this paper is also motivated by the symmetry nature of κ-fold symmetric bi-univalent functions in the defined class.
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35

Ding, Gui-Jun, Jun-Nan Lu, and José W. F. Valle. "Trimaximal neutrino mixing from scotogenic A4 family symmetry." Physics Letters B 815 (April 2021): 136122. http://dx.doi.org/10.1016/j.physletb.2021.136122.

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36

Lampe, Bodo. "Tetrahedral symmetry—an approach to the family problem." Journal of Physics G: Nuclear and Particle Physics 34, no. 9 (July 31, 2007): 1927–33. http://dx.doi.org/10.1088/0954-3899/34/9/006.

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37

Crass, S. "A family of critically finite maps with symmetry." Publicacions Matemàtiques 49 (January 1, 2005): 127–57. http://dx.doi.org/10.5565/publmat_49105_06.

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38

Ma, Ernest. "Lepton Family Symmetry and the Neutrino Mixing Matrix." Journal of Physics: Conference Series 53 (November 1, 2006): 451–57. http://dx.doi.org/10.1088/1742-6596/53/1/028.

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39

Ma, E. "New lepton family symmetry and neutrino tribimaximal mixing." Europhysics Letters (EPL) 79, no. 6 (August 7, 2007): 61001. http://dx.doi.org/10.1209/0295-5075/79/61001.

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40

King, Stephen F., Thomas Neder, and Alexander J. Stuart. "Lepton mixing predictions from Δ(6n2) family symmetry." Physics Letters B 726, no. 1-3 (October 2013): 312–15. http://dx.doi.org/10.1016/j.physletb.2013.08.052.

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41

Binétruy, Pierre, Stéphane Lavignac, Serguey Petcov, and Pierre Ramond. "Quasi-degenerate neutrinos from an Abelian family symmetry." Nuclear Physics B 496, no. 1-2 (July 1997): 3–23. http://dx.doi.org/10.1016/s0550-3213(97)00211-3.

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42

de Medeiros Varzielas, Ivo, and Graham G. Ross. "family symmetry and neutrino bi-tri-maximal mixing." Nuclear Physics B 733, no. 1-2 (January 2006): 31–47. http://dx.doi.org/10.1016/j.nuclphysb.2005.10.039.

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43

Cooper, Iain K., Stephen F. King, and Christoph Luhn. "Renormalisation group improved leptogenesis in family symmetry models." Nuclear Physics B 859, no. 2 (June 2012): 159–76. http://dx.doi.org/10.1016/j.nuclphysb.2012.02.004.

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44

Ponce, William A., Arnulfo Zepeda, and Jesús M. Mira. "Is U(1) H a good family symmetry?" Zeitschrift f�r Physik C Particles and Fields 69, no. 4 (February 15, 1996): 683–86. http://dx.doi.org/10.1007/s002880050072.

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45

Joyce, Michael, and Neil Turok. "Family symmetry, fermion mass matrices and cosmic texture." Nuclear Physics B 416, no. 2 (March 1994): 389–413. http://dx.doi.org/10.1016/0550-3213(94)90320-4.

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46

Ma, Ernest, Hideyuki Sawanaka, and Morimitsu Tanimoto. "Quark masses and mixing with A4 family symmetry." Physics Letters B 641, no. 3-4 (October 2006): 301–4. http://dx.doi.org/10.1016/j.physletb.2006.08.062.

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47

Hanlon, B. E., and G. C. Joshi. "A noncommutative geometric model with horizontal family symmetry." Journal of Mathematical Physics 36, no. 3 (March 1995): 1111–22. http://dx.doi.org/10.1063/1.531108.

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48

Koide, Yoshio, and Sadao Oneda. "Lepton masses and SU(3)family-symmetry breaking." Physical Review D 36, no. 9 (November 1, 1987): 2867–70. http://dx.doi.org/10.1103/physrevd.36.2867.

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49

Babu, K. S., and S. M. Barr. "Family symmetry, gravity, and the strong CP problem." Physics Letters B 300, no. 4 (February 1993): 367–72. http://dx.doi.org/10.1016/0370-2693(93)91347-p.

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50

Ponce, William A., Arnulfo Zepeda, and Jesús M. Mira. "Is U(1) H a good family symmetry?" Zeitschrift für Physik C: Particles and Fields 69, no. 1 (December 1995): 683–86. http://dx.doi.org/10.1007/bf02907452.

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