Some two-loop threshold corrections and three-loop renormalization group analysis of the MSSM

TL;DR

This paper calculates two-loop threshold corrections and performs a three-loop renormalization group analysis within the MSSM, revealing their effects on particle masses and parameter space constraints.

Contribution

It introduces a comprehensive analysis of two-loop threshold corrections and implements three-loop RGEs in MSSM, enhancing precision in SUSY spectrum predictions.

Findings

Threshold corrections significantly affect SUSY particle masses.

Three-loop RGEs alter the allowed parameter space regions.

Mass shifts due to corrections are quantified for SPS4 scenario.

Abstract

Two-loop threshold corrections for both the strong coupling constant and Yukawa couplings of heavy SM fermions are considered in the context of Minimal Supersymmetric Standard Model (MSSM). With the help of the well-known SOFTSUSY code the dependence of the corrections on universal MSSM parameters is analyzed. For a consistent study of the influence of the corrections on SUSY mass spectrum three-loop renormalization group equations are implemented. A particular scenario (SPS4) is considered and the shifts of the particle masses due to contributions of different threshold corrections are presented. Additionally, the impact on certain forbidden regions of the parameter space is studied.