Exploring Charge and Color Breaking vacuum in Non-Holomorphic MSSM

TL;DR

This paper investigates the stability of the scalar potential in the Non-Holomorphic MSSM, deriving constraints on parameters to avoid charge and color breaking minima, and explores the parameter space for metastability considering Higgs properties.

Contribution

It provides analytic constraints on trilinear parameters in NHSSM to prevent charge and color breaking vacua and tests these constraints through extensive parameter space scans.

Findings

Derived analytic constraints on $A_t'$ and $A_b'$.

Identified allowed ranges of NH trilinear parameters.

Analyzed metastability and vacuum structure in NHSSM.

Abstract

Non-Holomorphic MSSM (NHSSM) shows various promising features that are not easily obtained in MSSM. However, the additional Non-Holomorphic (NH) trilinear interactions that attribute to the interesting phenomenological features, also modify the effective scalar potential of the model significantly. We derive analytic constraints involving trilinear parameters $A_t'$ and $A_b'$ that exclude global charge and color breaking minima (CCB). Since the analytic constraints are obtained considering specific directions in the multi-dimensional field space, we further probe the applicability of these constraints by exhaustive scan over NH parameter space with two different regimes of $\tan\beta$ and delineate the nature of metastability by considering vacuum expectation values for third generation squarks. We adhere to a natural scenario by fixing Higgsino mass parameter ($\mu$) to a low value and estimate the allowed ranges of NH trilinear parameters by considering vacuum stability and observed properties of Higgs as the determining criteria.