Abstract
This paper studies F-theory SU(5) GUT models where the three generations of the standard model come from three different curves. All the matter is taken to come from curves intersecting at a point of enhanced E 8 gauge symmetry. Giving a vev to some of the GUT singlets naturally implements a Froggatt-Nielsen approach to flavour structure. A scan is performed over all possible models and the results are filtered using phenomenological constraints. We find a unique model that fits observations of quark and lepton masses and mixing well. This model suffers from two drawbacks: R-parity must be imposed by hand and there is a doublet-triplet splitting problem.
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References
R. Donagi and M. Wijnholt, Model building with F-theory, arXiv:0802.2969 [SPIRES].
C. Beasley, J.J. Heckman and C. Vafa, GUTs and exceptional branes in F-theory - I, JHEP 01 (2009) 058 [arXiv:0802.3391] [SPIRES].
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] [SPIRES].
R. Donagi and M. Wijnholt, Breaking GUT groups in F-theory, arXiv:0808.2223 [SPIRES].
G. Aldazabal, L.E. Ibáñez, F. Quevedo and A.M. Uranga, D-branes at singularities: a bottom-up approach to the string embedding of the standard model, JHEP 08 (2000) 002 [hep-th/0005067] [SPIRES].
H. Hayashi, R. Tatar, Y. Toda, T. Watari and M. Yamazaki, New aspects of heterotic–F theory duality, Nucl. Phys. B 806 (2009) 224 [arXiv:0805.1057] [SPIRES].
L. Aparicio, D.G. Cerdeno and L.E. Ibáñez, Modulus-dominated SUSY-breaking soft terms in F-theory and their test at LHC, JHEP 07 (2008) 099 [arXiv:0805.2943] [SPIRES].
J. Marsano, N. Saulina and S. Schäfer-Nameki, Gauge mediation in F-theory GUT models, Phys. Rev. D 80 (2009) 046006 [arXiv:0808.1571] [SPIRES].
J.J. Heckman and C. Vafa, F-theory, GUTs and the weak scale, JHEP 09 (2009) 079 [arXiv:0809.1098] [SPIRES].
A. Font and L.E. Ibáñez, Yukawa structure from U(1) fluxes in F-theory grand unification, JHEP 02 (2009) 016 [arXiv:0811.2157] [SPIRES].
J.J. Heckman and C. Vafa, Flavor hierarchy from F-theory, arXiv:0811.2417 [SPIRES].
R. Blumenhagen, Gauge coupling unification in F-theory grand unified theories, Phys. Rev. Lett. 102 (2009) 071601 [arXiv:0812.0248] [SPIRES].
J.L. Bourjaily, Local models in F-theory and M-theory with three generations, arXiv:0901.3785 [SPIRES].
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] [SPIRES].
C.-M. Chen and Y.-C. Chung, A note on local GUT models in F-theory, Nucl. Phys. B 824 (2010) 273 [arXiv:0903.3009] [SPIRES].
R. Donagi and M. Wijnholt, Higgs bundles and UV completion in F-theory, arXiv:0904.1218 [SPIRES].
V. Bouchard, J.J. Heckman, J. Seo and C. Vafa, F-theory and neutrinos: Kaluza-Klein dilution of flavor hierarchy, arXiv:0904.1419 [SPIRES].
L. Randall and D. Simmons-Duffin, Quark and lepton flavor physics from F-theory, arXiv:0904.1584 [SPIRES].
J.J. Heckman and C. Vafa, CP violation and F-theory GUTs, arXiv:0904.3101 [SPIRES].
J. Marsano, N. Saulina and S. Schäfer-Nameki, F-theory compactifications for supersymmetric GUTs, JHEP 08 (2009) 030 [arXiv:0904.3932] [SPIRES].
J. Marsano, N. Saulina and S. Schäfer-Nameki, Compact F-theory GUTs with U(1) PQ , arXiv:0912.0272 [SPIRES].
R. Tatar, Y. Tsuchiya and T. Watari, Right-handed neutrinos in F-theory compactifications, Nucl. Phys. B 823 (2009) 1 [arXiv:0905.2289] [SPIRES].
J.J. Heckman, A. Tavanfar and C. Vafa, The point of E 8 in F-theory GUTs, arXiv:0906.0581 [SPIRES].
J. Marsano, N. Saulina and S. Schäfer-Nameki, Monodromies, fluxes and compact three-generation F-theory GUTs, JHEP 08 (2009) 046 [arXiv:0906.4672] [SPIRES].
R. Blumenhagen, J.P. Conlon, S. Krippendorf, S. Moster and F. Quevedo, SUSY breaking in local string/F-Theory models, JHEP 09 (2009) 007 [arXiv:0906.3297] [SPIRES].
J.P. Conlon and E. Palti, On gauge threshold corrections for local IIB/F-theory GUTs, Phys. Rev. D 80 (2009) 106004 [arXiv:0907.1362] [SPIRES].
A. Font and L.E. Ibáñez, Matter wave functions and Yukawa couplings in F-theory grand unification, JHEP 09 (2009) 036 [arXiv:0907.4895] [SPIRES].
J.P. Conlon, A. Maharana and F. Quevedo, Wave functions and Yukawa couplings in local string compactifications, JHEP 09 (2008) 104 [arXiv:0807.0789] [SPIRES].
S. Cecotti, M.C.N. Cheng, J.J. Heckman and C. Vafa, Yukawa couplings in F-theory and non-commutative geometry, arXiv:0910.0477 [SPIRES].
J.P. Conlon and E. Palti, Aspects of flavour and supersymmetry in F-theory GUTs, JHEP 01 (2010) 029 [arXiv:0910.2413] [SPIRES].
H. Hayashi, T. Kawano, Y. Tsuchiya and T. Watari, Flavor structure in F-theory compactifications, arXiv:0910.2762 [SPIRES].
F. Marchesano and L. Martucci, Non-perturbative effects on seven-brane Yukawa couplings, arXiv:0910.5496 [SPIRES].
Y.-C. Chung, Abelian gauge fluxes and local models in F-theory, arXiv:0911.0427 [SPIRES].
R. Blumenhagen, V. Braun, T.W. Grimm and T. Weigand, GUTs in Type IIB orientifold compactifications, Nucl. Phys. B 815 (2009) 1 [arXiv:0811.2936] [SPIRES].
B. Andreas and G. Curio, From local to global in F-theory model building, arXiv:0902.4143 [SPIRES].
R. Blumenhagen, T.W. Grimm, B. Jurke and T. Weigand, F-theory uplifts and GUTs, JHEP 09 (2009) 053 [arXiv:0906.0013] [SPIRES].
R. Blumenhagen, T.W. Grimm, B. Jurke and T. Weigand, Global F-theory GUTs, Nucl. Phys. B 829 (2010) 325 [arXiv:0908.1784] [SPIRES].
S.H. Katz and C. Vafa, Matter from geometry, Nucl. Phys. B 497 (1997) 146 [hep-th/9606086] [SPIRES].
M. Bershadsky and A. Johansen, Colliding singularities in F-theory and phase transitions, Nucl. Phys. B 489 (1997) 122 [hep-th/9610111] [SPIRES].
E. Witten, Small instantons in string theory, Nucl. Phys. B 460 (1996) 541 [hep-th/9511030] [SPIRES].
C.D. Froggatt and H.B. Nielsen, Hierarchy of quark masses, Cabibbo angles and CP-violation, Nucl. Phys. B 147 (1979) 277 [SPIRES].
H.K. Dreiner and M. Thormeier, Supersymmetric Froggatt-Nielsen models with baryon-and lepton-number violation, Phys. Rev. D 69 (2004) 053002 [hep-ph/0305270] [SPIRES].
K.S. Babu, TASI lectures on flavor physics, arXiv:0910.2948 [SPIRES].
J.P. Conlon and D. Cremades, The neutrino suppression scale from large volumes, Phys. Rev. Lett. 99 (2007) 041803 [hep-ph/0611144] [SPIRES].
J.P. Conlon, Gauge threshold corrections for local string models, JHEP 04 (2009) 059 [arXiv:0901.4350] [SPIRES].
J.P. Conlon and E. Palti, Gauge threshold corrections for local orientifolds, JHEP 09 (2009) 019 [arXiv:0906.1920] [SPIRES].
R. Barbier et al., R-parity violating supersymmetry, Phys. Rept. 420 (2005) 1 [hep-ph/0406039] [SPIRES].
A.Y. Smirnov and F. Vissani, Upper bound on all products of R-parity violating couplings λ′ and λ″ from proton decay, Phys. Lett. B 380 (1996) 317 [hep-ph/9601387] [SPIRES].
G.F. Giudice and A. Masiero, A natural solution to the μ problem in supergravity theories, Phys. Lett. B 206 (1988) 480 [SPIRES].
A. Strumia and F. Vissani, Neutrino masses and mixings and., hep-ph/0606054 [SPIRES].
Particle Data Group collaboration, C. Amsler et al., Review of particle physics, Phys. Lett. B 667 (2008) 1 [SPIRES].
N. Arkani-Hamed, L.J. Hall, H. Murayama, D. Tucker-Smith and N. Weiner, Small neutrino masses from supersymmetry breaking, Phys. Rev. D 64 (2001) 115011 [hep-ph/0006312] [SPIRES].
L.J. Hall and A. Rasin, On the generality of certain predictions for quark mixing, Phys. Lett. B 315 (1993) 164 [hep-ph/9303303] [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].
M. Buican, D. Malyshev, D.R. Morrison, H. Verlinde and M. Wijnholt, D-branes at singularities, compactification and hypercharge, JHEP 01 (2007) 107 [hep-th/0610007] [SPIRES].
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ArXiv ePrint: 0912.0853
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Dudas, E., Palti, E. Froggatt-Nielsen models from E 8 in F-theory GUTs. J. High Energ. Phys. 2010, 127 (2010). https://doi.org/10.1007/JHEP01(2010)127
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DOI: https://doi.org/10.1007/JHEP01(2010)127