Abstract
We point out that supersymmetric gauged flavor models provide a realization of R-parity violation (RPV) that is natural in the sense that it does not lead to catastrophic proton decay for natural values of parameters in the theory. Within specific realizations of the idea, the relative strengths of the ΔB = 1 u c d c d c type RPV operators can be predicted. In particular, we present examples of gauged flavor models where RPV couplings depend on quark masses as \( {{\left( {{{{{m_{{{u_i}}}}{m_{{{d_j}}}}{m_{{{d_k}}}}}} \left/ {{m_t^3}} \right.}} \right)}^n} \) where n = 1 or n = 1/2. Some phenomenological implications of these models are discussed.
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References
L.J. Hall and M. Suzuki, Explicit R-parity breaking in supersymmetric models, Nucl. Phys. B 231 (1984) 419 [INSPIRE].
CS.. Aulakh and R.N. Mohapatra, Neutrino as the supersymmetric partner of the majoron, Phys. Lett. B 119 (1982) 136 [INSPIRE].
G.G. Ross and J.W.F. Valle, Supersymmetric models without R-parity, Phys. Lett. B 151 (1985) 375 [INSPIRE].
A. Masiero and J.W.F. Valle, A model for spontaneous R-parity breaking, Phys. Lett. B 251 (1990) 273 [INSPIRE].
R.N. Mohapatra, New contributions to neutrinoless double β decay in supersymmetric theories, Phys. Rev. D 34 (1986) 3457 [INSPIRE].
R. Kuchimanchi and R.N. Mohapatra, No parity violation without R-parity violation, Phys. Rev. D 48 (1993) 4352 [hep-ph/9306290] [INSPIRE].
P. Fileviez Perez and S. Spinner, Spontaneous R-parity breaking and left-right symmetry, Phys. Lett. B 673 (2009) 251 [arXiv:0811.3424] [INSPIRE].
P. Fileviez Perez and S. Spinner, The minimal theory for R-parity violation at the LHC, JHEP 04 (2012) 118 [arXiv:1201.5923] [INSPIRE].
V. Barger, P. Fileviez Perez and S. Spinner, Minimal gauged U(1) B−L model with spontaneous R-parity violation, Phys. Rev. Lett. 102 (2009) 181802 [arXiv:0812.3661] [INSPIRE].
L.L. Everett, P. Fileviez Perez and S. Spinner, The right side of TeV scale spontaneous R-parity violation, Phys. Rev. D 80 (2009) 055007 [arXiv:0906.4095] [INSPIRE].
B. Grinstein, M. Redi and G. Villadoro, Low scale flavor gauge symmetries, JHEP 11 (2010) 067 [arXiv:1009.2049] [INSPIRE].
Z. Berezhiani, Horizontal symmetry and quark-lepton mass spectrum: the SU(5) × SU(3)-h model, Phys. Lett. B 150 (1985) 177 [INSPIRE].
Z.G. Berezhiani and J.L. Chkareuli, Horizontal symmetry: masses and mixing angles of quarks and leptons of different generations: neutrino mass and neutrino oscillation, Sov. Phys. Usp. 28 (1985) 104 [INSPIRE].
A. Davidson and K.C. Wali, Family mass hierarchy from universal seesaw mechanism, Phys. Rev. Lett. 60 (1988) 1813 [INSPIRE].
K.S. Babu and R.N. Mohapatra, CP violation in seesaw models of quark masses, Phys. Rev. Lett. 62 (1989) 1079 [INSPIRE].
K.S. Babu and R.N. Mohapatra, A solution to the strong CP problem without an axion, Phys. Rev. D 41 (1990) 1286 [INSPIRE].
J.C. Pati and A. Salam, Lepton number as the fourth color, Phys. Rev. D 10 (1974) 275 [Erratum ibid. D 11 (1975) 703–703] [INSPIRE].
R.N. Mohapatra and J.C. Pati, Left-right gauge symmetry and an isoconjugate model of CP-violation, Phys. Rev. D 11 (1975) 566 [INSPIRE].
G. Senjanović and R.N. Mohapatra, Exact left-right symmetry and spontaneous violation of parity, Phys. Rev. D 12 (1975) 1502 [INSPIRE].
D. Guadagnoli, R.N. Mohapatra and I. Sung, Gauged flavor group with left-right symmetry, JHEP 04 (2011) 093 [arXiv:1103.4170] [INSPIRE].
R.N. Mohapatra, Gauged flavor, supersymmetry and grand unification, AIP Conf. Proc. 1467 (2012) 7 [arXiv:1205.6190] [INSPIRE].
G. Krnjaic and D. Stolarski, Gauging the way to MFV, arXiv:1212.4860 [INSPIRE].
C. Csáki, Y. Grossman and B. Heidenreich, MFV SUSY: a natural theory for R-parity violation, Phys. Rev. D 85 (2012) 095009 [arXiv:1111.1239] [INSPIRE].
E. Nikolidakis and C. Smith, Minimal flavor violation, seesaw and R-parity, Phys. Rev. D 77 (2008)015021 [arXiv:0710.3129] [INSPIRE].
G. Arcadi, L. Di Luzio and M. Nardecchia, Minimal flavour violation and neutrino masses without R-parity, JHEP 05 (2012) 048 [arXiv:1111.3941] [INSPIRE].
B. Keren-Zur et al., On partial compositeness and the CP asymmetry in charm decays, Nucl. Phys. B 867 (2013) 429 [arXiv:1205.5803] [INSPIRE].
A. Font, L.E. Ibáñez and F. Quevedo, Does proton stability imply the existence of an extra Z0?, Phys. Lett. B 228 (1989) 79 [INSPIRE].
S.P. Martin, Some simple criteria for gauged R-parity, Phys. Rev. D 46 (1992) 2769 [hep-ph/9207218] [INSPIRE].
S.L. Glashow, Strangeness violating dibaryon decay, arXiv:1007.4140 [INSPIRE].
R. Alonso, M.B. Gavela, D. Hernandez and L. Merlo, On the potential of leptonic minimal flavour violation, Phys. Lett. B 715 (2012) 194 [arXiv:1206.3167] [INSPIRE].
J.R. Espinosa, C.S. Fong and E. Nardi, Yukawa hierarchies from spontaneous breaking of the SU(3) L × SU(3) R flavour symmetry?, JHEP 02 (2013) 137 [arXiv:1211.6428] [INSPIRE].
M. Miura, Search for nucleon decay, in the proceedings of 2011 Workshop on Baryon & Lepton Number Violation (BLV2011), September 22–24, U.S.A. (2011), http://www.phys.utk.edu/blv2011/program.html.
K.S. Babu and R.N. Mohapatra, Observable neutron anti-neutron oscillations in seesaw models of neutrino mass, Phys. Lett. B 518 (2001) 269 [hep-ph/0108089] [INSPIRE].
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] [INSPIRE].
A. Masiero, S.K. Vempati and O. Vives, Flavour physics and grand unification, arXiv:0711.2903 [INSPIRE].
K. Choi, E.J. Chun and J.S. Lee, Proton decay with a light gravitino or axino, Phys. Rev. D 55 (1997) 3924 [hep-ph/9611285] [INSPIRE].
Super-Kamiokande collaboration, K. Kobayashi et al., Search for nucleon decay via modes favored by supersymmetric grand unification models in Super-Kamiokande-I, Phys. Rev. D 72 (2005) 052007 [hep-ex/0502026] [INSPIRE].
C. Csáki and B. Heidenreich, A complete model for R-parity violation, arXiv:1302.0004 [INSPIRE].
A. Davidson and K.C. Wali, SU(5) L × SU(5) R hybrid unification, Phys. Rev. Lett. 58 (1987) 2623 [INSPIRE].
P.L. Cho, Unified universal seesaw models, Phys. Rev. D 48 (1993) 5331 [hep-ph/9304223] [INSPIRE].
R. Mohapatra, SU(5) × SU(5) unification and automatic R-parity conservation, Phys. Rev. D 54 (1996) 5728 [INSPIRE].
R. Mohapatra, SU(5) × SU(5) unification, seesaw mechanism and R conservation, Phys. Lett. B 379 (1996) 115 [hep-ph/9601203] [INSPIRE].
D. Emmanuel-Costa, E.T. Franco and R. Gonzalez Felipe, SU(5) × SU(5) unification revisited, JHEP 08 (2011) 017 [arXiv:1104.2046] [INSPIRE].
C. Brust, A. Katz and R. Sundrum, SUSY stops at a bump, JHEP 08 (2012) 059 [arXiv:1206.2353] [INSPIRE].
J.A. Evans and Y. Kats, LHC coverage of RPV MSSM with light stops, JHEP 04 (2013) 028 [arXiv:1209.0764] [INSPIRE].
R. Franceschini and R. Torre, RPV stops bump off the background, arXiv:1212.3622 [INSPIRE].
ATLAS collaboration, Search for pair production of massive particles decaying into three quarks with the ATLAS detector in \( \sqrt{s}=7 \) TeV pp collisions at the LHC, JHEP 12 (2012) 086 [arXiv:1210.4813] [INSPIRE].
B. Allanach and B. Gripaios, Hide and seek with natural supersymmetry at the LHC, JHEP 05 (2012) 062 [arXiv:1202.6616] [INSPIRE].
Z. Han, A. Katz, M. Son and B. Tweedie, Boosting searches for natural SUSY with RPV via gluino cascades, arXiv:1211.4025 [INSPIRE].
J. Berger, C. Csáki, Y. Grossman and B. Heidenreich, Mesino oscillation in MFV SUSY, arXiv:1209.4645 [INSPIRE].
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Franceschini, R., Mohapatra, R. New patterns of natural R-parity violation with supersymmetric gauged flavor. J. High Energ. Phys. 2013, 98 (2013). https://doi.org/10.1007/JHEP04(2013)098
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DOI: https://doi.org/10.1007/JHEP04(2013)098