Abstract
We analyse the structure of Yukawa couplings in local SU(5) F-theory models with E 7 enhancement. These models are the minimal setting in which the whole flavour structure for the MSSM charged fermions is encoded in a small region of the entire compactification space. In this setup the E 7 symmetry is broken down to SU(5) by means of a 7-brane T-brane background, and further to the MSSM gauge group by means of a hypercharge flux that also implements doublet-triplet splitting. At tree-level only one family of quarks and charged leptons is massive, while the other two obtain hierarchically smaller masses when stringy non-perturbative effects are taken into account. We find that there is a unique E 7 model with such hierarchical flavour structure. The relative simplicity of the model allows to perform the computation of Yukawa couplings for a region of its parameter space wider than previous attempts, obtaining realistic fermion masses and mixings for large parameter regions. Our results are also valid for local models with E 8 enhancement, pointing towards a universal structure to describe realistic fermion masses within this framework.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
R. Donagi and M. Wijnholt, Model Building with F-theory, Adv. Theor. Math. Phys. 15 (2011) 1237 [arXiv:0802.2969] [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].
R. Donagi and M. Wijnholt, Breaking GUT Groups in F-theory, Adv. Theor. Math. Phys. 15 (2011) 1523 [arXiv:0808.2223] [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.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].
L. Randall and D. Simmons-Duffin, Quark and Lepton Flavor Physics from F-theory, arXiv:0904.1584 [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].
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].
J.P. Conlon and E. Palti, Aspects of Flavour and Supersymmetry in F-theory GUTs, JHEP 01 (2010) 029 [arXiv:0910.2413] [INSPIRE].
H. Hayashi, T. Kawano, Y. Tsuchiya and T. Watari, Flavor Structure in F-theory Compactifications, JHEP 08 (2010) 036 [arXiv:0910.2762] [INSPIRE].
F. Marchesano and L. Martucci, Non-perturbative effects on seven-brane Yukawa couplings, Phys. Rev. Lett. 104 (2010) 231601 [arXiv:0910.5496] [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].
C.-C. Chiou, A.E. Faraggi, R. Tatar and W. Walters, T-branes and Yukawa Couplings, JHEP 05 (2011) 023 [arXiv:1101.2455] [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. 1307 (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].
G. Aldazábal, 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] [INSPIRE].
M. Graña, Flux compactifications in string theory: A Comprehensive review, Phys. Rept. 423 (2006) 91 [hep-th/0509003] [INSPIRE].
M.R. Douglas and S. Kachru, Flux compactification, Rev. Mod. Phys. 79 (2007) 733 [hep-th/0610102] [INSPIRE].
F. Denef, M.R. Douglas and S. Kachru, Physics of String Flux Compactifications, Ann. Rev. Nucl. Part. Sci. 57 (2007) 119 [hep-th/0701050] [INSPIRE].
F. Denef, Les Houches Lectures on Constructing String Vacua, arXiv:0803.1194 [INSPIRE].
F. Quevedo, Local String Models and Moduli Stabilisation, Mod. Phys. Lett. A 30 (2015) 1530004 [arXiv:1404.5151] [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].
E. Dudas and E. Palti, Froggatt-Nielsen models from E 8 in F-theory GUTs, JHEP 01 (2010) 127 [arXiv:0912.0853] [INSPIRE].
S. Krippendorf, M.J. Dolan, A. Maharana and F. Quevedo, D-branes at Toric Singularities: Model Building, Yukawa Couplings and Flavour Physics, JHEP 06 (2010) 092 [arXiv:1002.1790] [INSPIRE].
S. Krippendorf, M.J. Dolan, A. Maharana and F. Quevedo, D-branes at Toric Singularities: Model Building, Yukawa Couplings and Flavour Physics, JHEP 06 (2010) 092 [arXiv:1002.1790] [INSPIRE].
N.C. Bizet, A. Klemm and D.V. Lopes, Landscaping with fluxes and the E 8 Yukawa Point in F-theory, arXiv:1404.7645 [INSPIRE].
S. Krippendorf, S. Schäfer-Nameki and J.-M. Wong, Froggatt-Nielsen meets Mordell-Weil: A Phenomenological Survey of Global F-theory GUTs with U(1)s, JHEP 11 (2015) 008 [arXiv:1507.05961] [INSPIRE].
E. Palti, Wavefunctions and the Point of E 8 in F-theory, JHEP 07 (2012) 065 [arXiv:1203.4490] [INSPIRE].
E. Dudas and E. Palti, On hypercharge flux and exotics in F-theory GUTs, JHEP 09 (2010) 013 [arXiv:1007.1297] [INSPIRE].
J. Marsano, N. Saulina and S. Schäfer-Nameki, Compact F-theory GUTs with U(1)PQ, JHEP 04 (2010) 095 [arXiv:0912.0272] [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].
J. Marsano, Hypercharge Flux, Exotics and Anomaly Cancellation in F-theory GUTs, Phys. Rev. Lett. 106 (2011) 081601 [arXiv:1011.2212] [INSPIRE].
R. Donagi and M. Wijnholt, Gluing Branes, I, JHEP 05 (2013) 068 [arXiv:1104.2610] [INSPIRE].
R. Donagi and M. Wijnholt, Gluing Branes II: Flavour Physics and String Duality, JHEP 05 (2013) 092 [arXiv:1112.4854] [INSPIRE].
L.B. Anderson, J.J. Heckman and S. Katz, T-Branes and Geometry, JHEP 05 (2014) 080 [arXiv:1310.1931] [INSPIRE].
A. Collinucci and R. Savelli, T-branes as branes within branes, JHEP 09 (2015) 161 [arXiv:1410.4178] [INSPIRE].
A. Collinucci and R. Savelli, F-theory on singular spaces, JHEP 09 (2015) 100 [arXiv:1410.4867] [INSPIRE].
L.E. Ibáñez and A.M. Uranga, String Theory and Particle Physics: An Introduction to String Phenomenology, Cambridge University Press (2012).
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].
M. Wijnholt, Higgs Bundles and String Phenomenology, Proc. Symp. Pure Math. 85 (2012) 275 [arXiv:1201.2520] [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].
B.M. McCoy, C.A. Tracy and T.T. Wu, Painleve Functions of the Third Kind, J. Math. Phys. 18 (1977) 1058 [INSPIRE].
G. Ross and M. Serna, Unification and fermion mass structure, Phys. Lett. B 664 (2008) 97 [arXiv:0704.1248] [INSPIRE].
L. Martucci and T. Weigand, Non-perturbative selection rules in F-theory, JHEP 09 (2015) 198 [arXiv:1506.06764] [INSPIRE].
L. Martucci and T. Weigand, Hidden Selection Rules, M5-instantons and Fluxes in F-theory, JHEP 10 (2015) 131 [arXiv:1507.06999] [INSPIRE].
Open Access
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1512.04846
La Caixa-Severo Ochoa Scholar. (Federico Carta)
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
About this article
Cite this article
Carta, F., Marchesano, F. & Zoccarato, G. Fitting fermion masses and mixings in F-theory GUTs. J. High Energ. Phys. 2016, 126 (2016). https://doi.org/10.1007/JHEP03(2016)126
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP03(2016)126