The nrMSSU(5) and universality of soft masses

TL;DR

This paper examines the conditions necessary to maintain universality of soft supersymmetry-breaking terms in the minimal supersymmetric SU(5) model with flavor-dependent nonrenormalizable operators, addressing flavor violation issues.

Contribution

It identifies specific conditions to prevent flavor- and CP-violating entries in sfermion mass matrices caused by nonrenormalizable operators in the MSSU(5) model.

Findings

Conditions to avoid flavor violation in soft terms.

Analysis of nonrenormalizable operators' impact on sfermion masses.

Strategies to preserve universality in supersymmetric models.

Abstract

We discuss the problem of universality of the soft, supersymmetry-breaking terms in the minimal supersymmetric SU(5) model (MSSU(5)) completed with flavor-dependent nonrenormalizable operators (NROs), or nrMSSU(5). These are exploited to correct the wrong fermion spectrum and to slow down the too-fast decay rate of the proton that the MSSU(5) model predicts. In general, the presence of such operators in the superpotential and K\"ahler potential gives rise to tree-level flavor- and CP-violating entries in the sfermion mass matrices at the cutoff scale, even when the mediation of supersymmetry (SUSY) breaking is generation and field-type independent. We identify the conditions under which such terms can be avoided.