Abstract
We discuss R-parity violation (RPV) in semi-local and local F-theory constructions. We first present a detailed analysis of all possible combinations of RPV operators arising from semi-local F-theory spectral cover constructions, assuming an SU(5) GUT. We provide a classification of all possible allowed combinations of RPV operators originating from operators of the form \( 10\ \cdotp\ \overline{5}\ \cdotp\ \overline{5} \), including the effect of U(1) fluxes with global restrictions. We then relax the global constraints and perform explicit computations of the bottom/tau and RPV Yukawa couplings, at an SO(12) local point of enhancement in the presence of general fluxes subject only to local flux restrictions. We compare our results to the experimental limits on each allowed RPV operator, and show that operators such as LLe c, LQd c and u c d c d c may be present separately within current bounds, possibly on the edge of observability, suggesting lepton number violation or neutron-antineutron oscillations could constrain F-theory models.
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References
H. Georgi and S.L. Glashow, Unity of all elementary particle forces, Phys. Rev. Lett. 32 (1974) 438 [INSPIRE].
S.M. Barr, A new symmetry breaking pattern for SO(10) and proton decay, Phys. Lett. B 112 (1982) 219 [INSPIRE].
I. Antoniadis, J.R. Ellis, J.S. Hagelin and D.V. Nanopoulos, Supersymmetric flipped SU(5) revitalized, Phys. Lett. B 194 (1987) 231 [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] [INSPIRE].
I. Antoniadis and G.K. Leontaris, A supersymmetric SU(4) × O(4) model, Phys. Lett. B 216 (1989) 333 [INSPIRE].
S.F. King and Q. Shafi, Minimal supersymmetric SU(4) × SU(2) L × SU(2) R , Phys. Lett. B 422 (1998) 135 [hep-ph/9711288] [INSPIRE].
R. Donagi and M. Wijnholt, Model building with F-theory, Adv. Theor. Math. Phys. 15 (2011) 1237 [arXiv:0802.2969] [INSPIRE].
R. Donagi and M. Wijnholt, Breaking GUT groups in F-theory, Adv. Theor. Math. Phys. 15 (2011) 1523 [arXiv:0808.2223] [INSPIRE].
C. Beasley, J.J. Heckman and C. Vafa, GUTs and Exceptional Branes in F-theory - I, JHEP 01 (2009) 058 [arXiv:0802.3391] [INSPIRE].
C. Beasley, J.J. Heckman and C. Vafa, GUTs and exceptional branes in F-theory — II: experimental predictions, JHEP 01 (2009) 059 [arXiv:0806.0102] [INSPIRE].
J.J. Heckman, Particle physics implications of F-theory, Ann. Rev. Nucl. Part. Sci. 60 (2010) 237 [arXiv:1001.0577] [INSPIRE].
T. Weigand, Lectures on F-theory compactifications and model building, Class. Quant. Grav. 27 (2010) 214004 [arXiv:1009.3497] [INSPIRE].
G.K. Leontaris, Aspects of F-theory GUTs, PoS(CORFU2011)095 [arXiv:1203.6277] [INSPIRE].
A. Maharana and E. Palti, Models of particle physics from type IIB string theory and F-theory: a review, Int. J. Mod. Phys. A 28 (2013) 1330005 [arXiv:1212.0555] [INSPIRE].
A. Karozas, S.F. King, G.K. Leontaris and A. Meadowcroft, Discrete family symmetry from F-theory GUTs, JHEP 09 (2014) 107 [arXiv:1406.6290] [INSPIRE].
A. Karozas, S.F. King, G.K. Leontaris and A.K. Meadowcroft, Phenomenological implications of a minimal F-theory GUT with discrete symmetry, JHEP 10 (2015) 041 [arXiv:1505.00937] [INSPIRE].
M. Crispim Romão, A. Karozas, S.F. King, G.K. Leontaris and A.K. Meadowcroft, MSSM from F-theory SU(5) with Klein monodromy, Phys. Rev. D 93 (2016) 126007 [arXiv:1512.09148] [INSPIRE].
H. Hayashi, T. Kawano, Y. Tsuchiya and T. Watari, Flavor structure in F-theory compactifications, JHEP 08 (2010) 036 [arXiv:0910.2762] [INSPIRE].
S. Dimopoulos and L.J. Hall, Lepton and baryon number violating collider signatures from supersymmetry, Phys. Lett. B 207 (1988) 210 [INSPIRE].
R. Barbier et al., R-parity violating supersymmetry, Phys. Rept. 420 (2005) 1 [hep-ph/0406039] [INSPIRE].
J.J. Heckman, A. Tavanfar and C. Vafa, The point of E 8 in F-theory GUTs, JHEP 08 (2010) 040 [arXiv:0906.0581] [INSPIRE].
J. Marsano, N. Saulina and S. Schäfer-Nameki, Monodromies, fluxes and compact three-generation F-theory GUTs, JHEP 08 (2009) 046 [arXiv:0906.4672] [INSPIRE].
E. Dudas and E. Palti, On hypercharge flux and exotics in F-theory GUTs, JHEP 09 (2010) 013 [arXiv:1007.1297] [INSPIRE].
J.J. Heckman and C. Vafa, Flavor hierarchy from F-theory, Nucl. Phys. B 837 (2010) 137 [arXiv:0811.2417] [INSPIRE].
H. Hayashi, T. Kawano, R. Tatar and T. Watari, Codimension-3 singularities and Yukawa couplings in F-theory, Nucl. Phys. B 823 (2009) 47 [arXiv:0901.4941] [INSPIRE].
J.P. Conlon and E. Palti, Aspects of flavour and supersymmetry in F-theory GUTs, JHEP 01 (2010) 029 [arXiv:0910.2413] [INSPIRE].
E. Dudas and E. Palti, Froggatt-Nielsen models from E 8 in F-theory GUTs, JHEP 01 (2010) 127 [arXiv:0912.0853] [INSPIRE].
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] [INSPIRE].
G.K. Leontaris and G.G. Ross, Yukawa couplings and fermion mass structure in F-theory GUTs, JHEP 02 (2011) 108 [arXiv:1009.6000] [INSPIRE].
S. Cecotti, C. Cordova, J.J. Heckman and C. Vafa, T-branes and monodromy, JHEP 07 (2011) 030 [arXiv:1010.5780] [INSPIRE].
S. Cecotti, M.C.N. Cheng, J.J. Heckman and C. Vafa, Yukawa couplings in F-theory and non-commutative geometry, arXiv:0910.0477 [INSPIRE].
P.G. Camara, E. Dudas and E. Palti, Massive wavefunctions, proton decay and FCNCs in local F-theory GUTs, JHEP 12 (2011) 112 [arXiv:1110.2206] [INSPIRE].
E. Palti, Wavefunctions and the point of E 8 in F-theory, JHEP 07 (2012) 065 [arXiv:1203.4490] [INSPIRE].
A. Font and L.E. Ibáñez, Yukawa structure from U(1) fluxes in F-theory grand unification, JHEP 02 (2009) 016 [arXiv:0811.2157] [INSPIRE].
A. Font and L.E. Ibáñez, Matter wave functions and Yukawa couplings in F-theory Grand Unification, JHEP 09 (2009) 036 [arXiv:0907.4895] [INSPIRE].
L. Aparicio, A. Font, L.E. Ibáñez and F. Marchesano, Flux and instanton effects in local F-theory models and hierarchical fermion masses, JHEP 08 (2011) 152 [arXiv:1104.2609] [INSPIRE].
A. Font, L.E. Ibáñez, F. Marchesano and D. Regalado, Non-perturbative effects and Yukawa hierarchies in F-theory SU(5) Unification, JHEP 03 (2013) 140 [Erratum ibid. 07 (2013) 036] [arXiv:1211.6529] [INSPIRE].
A. Font, F. Marchesano, D. Regalado and G. Zoccarato, Up-type quark masses in SU(5) F-theory models, JHEP 11 (2013) 125 [arXiv:1307.8089] [INSPIRE].
F. Marchesano, D. Regalado and G. Zoccarato, Yukawa hierarchies at the point of E 8 in F-theory, JHEP 04 (2015) 179 [arXiv:1503.02683] [INSPIRE].
F. Carta, F. Marchesano and G. Zoccarato, Fitting fermion masses and mixings in F-theory GUTs, JHEP 03 (2016) 126 [arXiv:1512.04846] [INSPIRE].
L.E. Ibáñez, F. Marchesano, D. Regalado and I. Valenzuela, The intermediate scale MSSM, the Higgs mass and F-theory unification, JHEP 07 (2012) 195 [arXiv:1206.2655] [INSPIRE].
A. Hebecker and J. Unwin, Precision unification and proton decay in F-theory GUTs with high scale supersymmetry, JHEP 09 (2014) 125 [arXiv:1405.2930] [INSPIRE].
G. Ross and M. Serna, Unification and fermion mass structure, Phys. Lett. B 664 (2008) 97 [arXiv:0704.1248] [INSPIRE].
B.C. Allanach, A. Dedes and H.K. Dreiner, Bounds on R-parity violating couplings at the weak scale and at the GUT scale, Phys. Rev. D 60 (1999) 075014 [hep-ph/9906209] [INSPIRE].
B.C. Allanach, A. Dedes and H.K. Dreiner, R parity violating minimal supergravity model, Phys. Rev. D 69 (2004) 115002 [Erratum ibid. D 72 (2005) 079902] [hep-ph/0309196] [INSPIRE].
E.J. Chun, S. Jung, H.M. Lee and S.C. Park, Stop and sbottom LSP with R-parity violation, Phys. Rev. D 90 (2014) 115023 [arXiv:1408.4508] [INSPIRE].
F.F. Deppisch, M. Hirsch and H. Pas, Neutrinoless double beta decay and physics beyond the standard model, J. Phys. G 39 (2012) 124007 [arXiv:1208.0727] [INSPIRE].
H.K. Dreiner, M. Hanussek and S. Grab, Bounds on R-parity violating couplings at the grand unification scale from neutrino masses, Phys. Rev. D 82 (2010) 055027 [arXiv:1005.3309] [INSPIRE].
CMS collaboration, Searches for R-parity-violating supersymmetry in pp collisions at \( \sqrt{s}=8 \) TeV in final states with 0-4 leptons, submitted to Phys. Rev. D (2016) [arXiv:1606.08076] [INSPIRE].
ATLAS collaboration, Summary of the searches for squarks and gluinos using \( \sqrt{s}=8 \) TeV pp collisions with the ATLAS experiment at the LHC, JHEP 10 (2015) 054 [arXiv:1507.05525] [INSPIRE].
ATLAS collaboration, ATLAS Run 1 searches for direct pair production of third-generation squarks at the Large Hadron Collider, Eur. Phys. J. C 75 (2015) 510 [arXiv:1506.08616] [INSPIRE].
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Romão, M.C., Karozas, A., King, S.F. et al. R-parity violation in F-theory. J. High Energ. Phys. 2016, 81 (2016). https://doi.org/10.1007/JHEP11(2016)081
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DOI: https://doi.org/10.1007/JHEP11(2016)081