Fermion masses and mixings in the supersymmetric Pati-Salam landscape from Intersecting D6-Branes

TL;DR

This paper analyzes the phenomenology of 33 supersymmetric Pati-Salam models from intersecting D6-branes, identifying 17 viable models that can explain fermion masses and mixings, with some models naturally predicting neutrino masses consistent with experiments.

Contribution

It provides a detailed phenomenological study of all models in the landscape, identifying viable Yukawa textures and classifying models based on Higgs content, highlighting models that predict neutrino masses.

Findings

17 models can explain fermion masses and mixings

Models with more Higgs pairs perform better

12-Higgs models predict neutrino masses consistent with data

Abstract

Recently, the complete landscape of three-family supersymmetric Pati-Salam models from intersecting D6-branes on a type IIA $\mathbb{T}^6/(\mathbb{Z}_2\times \mathbb{Z}_2)$ orientifold has been enumerated consisting of 33 independent models with distinct gauge coupling relations at the string scale. Here, we study the phenomenology of all such models by providing the detailed particle spectra and the analysis of the possible 3-point and the 4-point Yukawa interactions in order to accommodate all standard-model fermion masses and mixings. We find that only 17 models contain viable Yukawa textures to explain quarks masses, charged-leptons' masses, neutrino-masses, quarks' mixings and leptons' mixings. These viable models split into four classes, viz. a single model with 3 Higgs fields from the bulk and sixteen models with either 6, 9 or 12 Higgs from the $\mathcal{N}=2$ sector. The models perform successively better with the increasing number of Higgs pairs. Remarkably, the class of models with 12 Higgs naturally predicts the Dirac-type neutrino masses in normal ordering consistent with both the experimental constraints as well as the bounds from the swampland program.