The Supersymmetry Breaking Soft Terms, and Fermion Masses and Mixings in the Supersymmetric Pati-Salam Model from Intersecting D6-branes

TL;DR

This paper constructs a supersymmetric Pati-Salam model from intersecting D6-branes in Type IIA string theory, analyzing soft supersymmetry breaking terms and explaining fermion masses and mixings within this framework.

Contribution

It introduces a specific intersecting D6-brane model with gauge unification, calculates soft SUSY breaking terms, and explains fermion mass hierarchies and mixings.

Findings

Gauge coupling unification achieved at string scale

Standard Model fermion masses and mixings explained

Soft SUSY breaking terms computed and corrected from previous work

Abstract

A supersymmetric Pati-Salam model with wrapping number equal to 5 has been constructed in Type IIA orientifolds on $\mathbf{T}^6/(\mathbb{Z}_2\times \mathbb{Z}_2)$ with intersecting D6-branes recently. In particular, the string-scale gauge coupling unification can be achieved due to the intermediate-scale vector-like particles from $\mathcal{N}=2$ sector. We calculate the supersymmetry breaking soft terms, and study the Standard Model (SM) fermion masses and mixings. There are nine pairs of Higgs doublets from $\mathcal{N}=2$ sector. Interestingly, we can explain the SM quark masses and mixings, as well as the charged leptons masses from three point and four-point Yukawa interactions. Moreover, we calculate the supersymmetry breaking soft terms in a previous model with gauge coupling unification since we find a typo in the previous study.