Susy breaking soft terms in the supersymmetric Pati-Salam landscape from Intersecting D6-Branes

TL;DR

This paper analyzes supersymmetry breaking soft terms in a broad class of three-family Pati-Salam models derived from intersecting D6-branes in type IIA string theory, revealing how these terms depend on brane configurations and moduli.

Contribution

It provides a comprehensive calculation of soft SUSY-breaking terms across the entire landscape of these models, highlighting their dependence on geometric and moduli parameters.

Findings

Soft terms depend on brane wrapping numbers and SUSY breaking parameters.

Yukawa couplings are invariant under certain model dualities, soft terms are not.

Universal masses for Higgs and gauginos occur in specific parameter limits.

Abstract

We investigate the supersymmetry breaking soft terms for all the viable models in the complete landscape of three-family supersymmetric Pati-Salam models arising from intersecting D6-branes on a $\mathbb{T}^6/(\mathbb{Z}_2\times \mathbb{Z}_2)$ orientifold in type IIA string theory. The calculations are performed in the general scenario of $u$-moduli dominance with the $s$-moduli turned on, where the soft terms remain independent of the Yukawa couplings and the Wilson lines. The results for the trilinear coupling, gaugino-masses, squared-mass parameters of squarks, sleptons and Higgs depend on the brane wrapping numbers and the susy breaking parameters. We find that unlike the Yukawa couplings which remain unchanged for the models dual under the exchange of two SU(2) sectors, the corresponding soft term parameters only match for the trilinear coupling and the mass of the gluino. This can be explained by the internal geometry where the Yukawa interactions depend only on the triangular areas of the worldsheet instantons while the soft terms have an additional dependence on the orientation-angles of D6-branes in the three two-tori. In the special limit of parameter space we find universal masses for the Higgs and the gauginos.