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

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.

40 pages, 6 figures. Figure 2 is corrected

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• String-scale Gauge Coupling Relations in the Supersymmetric Pati-Salam Models from Intersecting D6-branes
• Three-family supersymmetric Pati-Salam models with symplectic groups from intersecting D6-branes
• Revisiting the $\mathcal{N}=1$ supersymmetric trinification models from intersecting D6-branes
• Susy breaking soft terms in the supersymmetric Pati-Salam landscape from Intersecting D6-Branes
• Fermion Masses and Mixings in String Theory with Dirac Neutrinos
• Three family supersymmetric Pati-Salam model from rigid intersecting D6-branes
• Three-family supersymmetric Pati-Salam models from intersecting D6-branes on rigid cycles