Flavor hierarchy from F-theory

By J. Heckman, C. Vafa. 2008

159 citations recorded by the source corpus.

Abstract It has recently been shown that F-theory based constructions provide a potentially promising avenue for engineering GUT models which descend to the MSSM. In this Note we show that in the presence of background fluxes, these models automatically achieve hierarchical Yukawa matrices in the quark and lepton sectors. At leading order, the existence of a U ( 1 ) symmetry which is related to phase rotations of the internal holomorphic coordinates at the brane intersection point leads to rank one Yukawa matrices. Subleading corrections to the internal wave functions from variations in the background fluxes generate small violations of this U ( 1 ) , leading to hierarchical Yukawa structures reminiscent of the Froggatt–Nielsen mechanism. The expansion parameter for this perturbation is in terms of α GUT . Moreover, we naturally obtain a hierarchical CKM matrix with V 12 ∼ V 21 ∼ e , V 23 ∼ V 32 ∼ e 2 , V 13 ∼ V 31 ∼ e 3 , where e ∼ α GUT , in excellent agreement with observation.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/1767cb6b1d416439fcdce6a931d880282a1d35d5

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Citations in the corpus

F-theory GUT vacua on compact Calabi-Yau fourfolds (2009, background): “Among the phenomenological challenges that have been studied in this framework are the question of GUT symmetry breaking via hypercharge flux and doublet-triplet splitting [4, 5], the suppression of unacceptable proton decay [4, 15], gauge coupling unification [5, 16, 17], aspects of neutrino physic”
T-branes and monodromy (2010, background): “Yukawa couplings in seven-brane gauge theories are thus incredibly robust physical quantities and this gives us hope that perhaps seven-branes provide an avenue for string theory to make contact with the theory of flavor [8–11].”
Codimension-3 Singularities and Yukawa Couplings in F-theory (2009, background): “Details of the mass-eigenvalue pattern may or may not be different from the prediction of [11].”
The N=1 effective action of F-theory compactifications (2010, unknown): “ropriately identiﬁed vanishing T2-volume Ris 2In particular, phenomenological issues concerning the ﬂavor structure have been addressed in local F-theory models. An incomplete list of recent refs. is [11, 12, 13, 14, 15, 16, 17, 18]. 3In this paper we will neglect the eﬀects of warping by working at”
GUTs in Type IIB Orientifold Compactifications (2008, background): “The local model building rules for such F-theory compactifications have been worked out recently in [13,14,15,16,17,18,19]; For recent studies of 7-branes from the F-theory perspective see [20, 21, 22, 23, 24].”
The String Landscape, the Swampland, and the Missing Corner (2017, background): “One particularly promising example of this is how flavor hierarchy can be geometrically encoded [23].”
Compact F-theory GUTs with U(1)PQ (2009, background): “eriously and suppose that φpicks up bosonic and F-component expectation values, then we don’t really have any new tunings beyond those that we would already need for condition for the ﬂavor models of [10, 12, 13] but addressing detailed ﬂavor structure in a global context is beyond the scope of the ”
Higgs Bundles and UV Completion in F-Theory (2009, background): “Heckman for patiently explaining many details of his works [2, 6, 8].”
Monodromies, Fluxes, and Compact Three-Generation F-theory GUTs (2009, background): “ture that favors the existence of ﬂavor hierarchies” is rather vague and requires further precision. What we aim to achieve are hierarchies in the Yukawa matrices that arise in the manner proposed in [6], namely through the natural properties of wave function overlap integrals. A necessary condition”