Abstract
Minimal Flavour Violation (MFV) postulates that the only source of flavour changing neutral currents and CP violation, as in the Standard Model, is the CKM matrix. However it does not address the origin of fermion masses and mixing and models that do usually have a structure that goes well beyond the MFV framework. In this paper we compare the MFV predictions with those obtained in models based on spontaneously broken (horizontal) family symmetries, both Abelian and non-Abelian. The generic suppression of flavour changing processes in these models turns out to be weaker than in the MFV hypothesis. Despite this, in the supersymmetric case, the suppression may still be consistent with a solution to the hierarchy problem, with masses of superpartners below 1 TeV. A comparison of FCNC and CP violation in processes involving a variety of different family quantum numbers should be able to distinguish between various family symmetry models and models satisfying the MFV hypothesis.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
G. D’Ambrosio, G.F. Giudice, G. Isidori and A. Strumia, Minimal flavour violation: An effective field theory approach, Nucl. Phys. B 645 (2002) 155 [hep-ph/0207036] [SPIRES].
C.D. Froggatt and H.B. Nielsen, Hierarchy of quark masses, Cabibbo angles and CP-violation, Nucl. Phys. B 147 (1979) 277 [SPIRES].
Z.G. Berezhiani and M.Y. Khlopov, The theory of broken gauge symmetry of generations, Sov. J. Nucl. Phys. 51 (1990) 739 [Yad. Fiz. 51 (1990) 1157] [SPIRES].
M. Leurer, Y. Nir and N. Seiberg, Mass matrix models, Nucl. Phys. B 398 (1993) 319 [hep-ph/9212278] [SPIRES].
L.E. Ibáñez and G.G. Ross, Fermion masses and mixing angles from gauge symmetries, Phys. Lett. B 332 (1994) 100 [hep-ph/9403338] [SPIRES].
E. Dudas, S. Pokorski and C.A. Savoy, Yukawa matrices from a spontaneously broken Abelian symmetry, Phys. Lett. B 356 (1995) 45 [hep-ph/9504292] [SPIRES].
P. Binetruy, S. Lavignac and P. Ramond, Yukawa textures with an anomalous horizontal Abelian symmetry, Nucl. Phys. B 477 (1996) 353 [hep-ph/9601243] [SPIRES].
N. Irges, S. Lavignac and P. Ramond, Predictions from an anomalous U(1) model of Yukawa hierarchies, Phys. Rev. D 58 (1998) 035003 [hep-ph/9802334] [SPIRES].
S.F. King and G.G. Ross, Fermion masses and mixing angles from SU(3) family symmetry, Phys. Lett. B 520 (2001) 243 [hep-ph/0108112] [SPIRES].
R. Zwicky and T. Fischbacher, On discrete minimal flavour violation, Phys. Rev. D 80 (2009) 076009 [arXiv:0908.4182] [SPIRES].
T. Feldmann and T. Mannel, Minimal flavour violation and beyond, JHEP 02 (2007) 067 [hep-ph/0611095] [SPIRES].
G. Hiller, Y. Hochberg and Y. Nir, Flavor in supersymmetry: anarchy versus structure, JHEP 03 (2010) 079 [arXiv:1001.1513] [SPIRES].
W. Altmannshofer, A.J. Buras, S. Gori, P. Paradisi and D.M. Straub, Anatomy and phenomenology of FCNC and CPV effects in SUSY theories, Nucl. Phys. B 830 (2010) 17 [arXiv:0909.1333] [SPIRES].
F. Gabbiani and A. Masiero, FCNC in generalized supersymmetric theories, Nucl. Phys. B 322 (1989) 235 [SPIRES].
F. Gabbiani, E. Gabrielli, A. Masiero and L. Silvestrini, A complete analysis of FCNC and CP constraints in general SUSY extensions of the standard model, Nucl. Phys. B 477 (1996) 321 [hep-ph/9604387] [SPIRES].
G. Isidori, B physics in the LHC era, arXiv:1001.3431 [SPIRES].
G. Isidori, Y. Nir and G. Perez, Flavor physics constraints for physics beyond the Standard Model, arXiv:1002.0900 [SPIRES].
A. Masiero, S.K. Vempati and O. Vives, Flavour physics and grand unification, arXiv:0711.2903 [SPIRES].
M. Ciuchini et al., \( D - \bar{D} \) mixing and new physics: General considerations and constraints on the MSSM, Phys. Lett. B 655 (2007) 162 [hep-ph/0703204] [SPIRES].
M. Artuso et al., B, D and K decays, Eur. Phys. J. C 57 (2008) 309 [arXiv:0801.1833] [SPIRES].
Y. Kawamura, H. Murayama and M. Yamaguchi, Low-energy effective Lagrangian in unified theories with nonuniversal supersymmetry breaking terms, Phys. Rev. D 51 (1995) 1337 [hep-ph/9406245] [SPIRES].
E. Dudas, S. Pokorski and C.A. Savoy, Soft scalar masses in supergravity with horizontal U(1) X gauge symmetry, Phys. Lett. B 369 (1996) 255 [hep-ph/9509410] [SPIRES].
E. Dudas, C. Grojean, S. Pokorski and C.A. Savoy, Abelian flavour symmetries in supersymmetric models, Nucl. Phys. B 481 (1996) 85 [hep-ph/9606383] [SPIRES].
I. de Medeiros Varzielas and G.G. Ross, Family symmetries and the SUSY flavour problem, hep-ph/0612220 [SPIRES].
I. de Medeiros Varzielas, S.F. King and G.G. Ross, Neutrino tri-bi-maximal mixing from a non-Abelian discrete family symmetry, Phys. Lett. B 648 (2007) 201 [hep-ph/0607045] [SPIRES].
D. Choudhury, F. Eberlein, A. Konig, J. Louis and S. Pokorski, Constraints on nonuniversal soft terms from flavor changing neutral currents, Phys. Lett. B 342 (1995) 180 [hep-ph/9408275] [SPIRES].
K.A. Olive and L. Velasco-Sevilla, Constraints on supersymmetric flavour models from bs → γ, JHEP 05 (2008) 052 [arXiv:0801.0428] [SPIRES].
S. Cassel, D.M. Ghilencea and G.G. Ross, Testing SUSY, Phys. Lett. B 687 (2010) 214 [arXiv:0911.1134] [SPIRES].
S. Cassel, D.M. Ghilencea and G.G. Ross, Testing SUSY at the LHC: electroweak and dark matter fine tuning at two-loop order, Nucl. Phys. B 835 (2010) 110 [arXiv:1001.3884] [SPIRES].
P.H. Chankowski, O. Lebedev and S. Pokorski, Flavour violation in general supergravity, Nucl. Phys. B 717 (2005) 190 [hep-ph/0502076] [SPIRES].
P.H. Chankowski, K. Kowalska, S. Lavignac and S. Pokorski, Flavor changing neutral currents and inverted sfermion mass hierarchy, [hep-ph/0507133] [SPIRES].
S. Antusch, S.F. King, M. Malinsky and G.G. Ross, Solving the SUSY flavour and CP problems with Non-Abelian family symmetry and supergravity, Phys. Lett. B 670 (2009) 383 [arXiv:0807.5047] [SPIRES].
G.G. Ross, L. Velasco-Sevilla and O. Vives, Spontaneous CP-violation and non-Abelian family symmetry in SUSY, Nucl. Phys. B 692 (2004) 50 [hep-ph/0401064] [SPIRES].
G.G. Ross and O. Vives, Yukawa structure, flavour and CP-violation in supergravity, Phys. Rev. D 67 (2003) 095013 [hep-ph/0211279] [SPIRES].
M. Raidal et al., Flavour physics of leptons and dipole moments, Eur. Phys. J. C 57 (2008) 13 [arXiv:0801.1826] [SPIRES].
P.H. Chankowski, K. Kowalska, S. Lavignac and S. Pokorski, Update on fermion mass models with an anomalous horizontal U(1) symmetry, Phys. Rev. D 71 (2005) 055004 [hep-ph/0501071] [SPIRES].
M. Leurer, Y. Nir and N. Seiberg, Mass matrix models: The sequel, Nucl. Phys. B 420 (1994) 468 [hep-ph/9310320] [SPIRES].
E. Dudas and E. Palti, Froggatt-Nielsen models from E8 in F-theory GUTs, JHEP 01 (2010) 127 [arXiv:0912.0853] [SPIRES].
S.F. King, G.K. Leontaris and G.G. Ross, Family symmetries in F-theory GUTs, Nucl. Phys. B 838 (2010) 119 [arXiv:1005.1025] [SPIRES].
S.F. King, I.N.R. Peddie, G.G. Ross, L. Velasco-Sevilla and O. Vives, Kähler corrections and softly broken family symmetries, JHEP 07 (2005) 049 [hep-ph/0407012] [SPIRES].
A. Crivellin and M. Davidkov, Do squarks have to be degenerate? Constraining the mass splitting with Kaon and D mixing, Phys. Rev. D 81 (2010) 095004 [arXiv:1002.2653] [SPIRES].
F. Gabbiani, E. Gabrielli, A. Masiero and L. Silvestrini, A complete analysis of FCNC and CP constraints in general SUSY extensions of the standard model, Nucl. Phys. B 477 (1996) 321 [hep-ph/9604387] [SPIRES].
D0 collaboration, V.M. Abazov et al., Evidence for an anomalous like-sign dimuon charge asymmetry, Phys. Rev. D 82 (2010) 032001 [arXiv:1005.2757] [SPIRES].
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1006.2375
Rights and permissions
Open Access This is an open access article distributed under the terms of the Creative Commons Attribution Noncommercial License (https://creativecommons.org/licenses/by-nc/2.0), which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
About this article
Cite this article
Lalak, Z., Pokorski, S. & Ross, G.G. Beyond MFV in family symmetry theories of fermion masses. J. High Energ. Phys. 2010, 129 (2010). https://doi.org/10.1007/JHEP08(2010)129
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP08(2010)129