Fermion Masses and Mixings in String Theory with Dirac Neutrinos

Abstract

Analyzing the supersymmetric Pati-Salam landscape on a ${\mathbb{T}}^6/({\mathbb{Z}}_2\times {\mathbb{Z}}_2)$ orientifold in IIA string theory, we have found only two models that accurately account for all standard model fermion masses and mixings. The models are dual to each other under the exchange of two SU(2) sectors and feature 12 adjoint scalars, the maximum number allowed in the landscape, whose linear combination yields the two light Higgs eigenstates. Dirac neutrino-masses in normal ordering $(50.6,10.6,6.2)\pm 0.1$~meV satisfying both the experimental as well as swampland constraints.

arXiv comment5 pages, accepted as Letter in Physical Review D

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• Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the string-theoretical Swampland Programme
• Three-family supersymmetric Pati-Salam models from intersecting D6-branes on rigid cycles
• Three family supersymmetric Pati-Salam model from rigid intersecting D6-branes