Yukawa hierarchies at the point of E8 in F-theory

  • Fernando Marchesano
  • Diego Regalado
  • Gianluca Zoccarato
Open Access
Regular Article - Theoretical Physics


We analyse the structure of Yukawa couplings in local SU(5) F-theory models with E8 enhancement. In this setting the E8 symmetry is broken down to SU(5) by a 7-brane configuration described by T-branes, all the Yukawa couplings are generated in the vicinity of a point and only one family of quarks and leptons is massive at tree-level. The other two families obtain their masses when non-perturbative effects are taken into account, being hierarchically lighter than the third family. However, and contrary to previous results, we find that this hierarchy of fermion masses is not always appropriate to reproduce measured data. We find instead that different T-brane configurations breaking E8 to SU(5) give rise to distinct hierarchical patterns for the holomorphic Yukawa couplings. Only some of these patterns allow to fit the observed fermion masses with reasonable local model parameter values, adding further constraints to the construction of F-theory GUTs. We consider an E8 model where such appropriate hierarchy is realised and compute its physical Yukawas, showing that realistic charged fermions masses can indeed be obtained in this case.


F-Theory Quark Masses and SM Parameters GUT 


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.


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Copyright information

© The Author(s) 2015

Authors and Affiliations

  • Fernando Marchesano
    • 1
  • Diego Regalado
    • 2
  • Gianluca Zoccarato
    • 1
    • 3
  1. 1.Instituto de Física Teórica UAM-CSICMadridSpain
  2. 2.Max-Planck-Institut für PhysikMunichGermany
  3. 3.Departamento de Física TeóricaUniversidad Autónoma de MadridMadridSpain

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