O(alpha_s alpha_t) (non)decoupling effects within the top-sector of the MSSM

TL;DR

This paper calculates mixed QCD-Yukawa threshold corrections in the MSSM, revealing significant non-decoupling effects on the top-quark mass and Yukawa coupling as the supersymmetry scale varies.

Contribution

It provides the first detailed computation of $ ext{O}(rac{ ext{alpha}_s ext{alpha}_t}{})$ threshold corrections showing non-decoupling behavior in the top sector of the MSSM.

Findings

Corrections can reach a few GeV for the top-quark mass.

Percent-level effects observed in the top-Yukawa coupling.

Non-decoupling effects persist across a wide range of SUSY scales.

Abstract

In this paper we compute the $\mathcal{O}(\alpha_s \alpha_t)$ threshold corrections to the running strong coupling constant, the top-Yukawa coupling and the top-quark mass within the MSSM. These parameters present a non-decoupling behaviour with the supersymmetry scale $M_{\rm SUSY}$. Our numerical analysis shows that the mixed QCD-Yukawa corrections can amount to few GeV for the running top-quark mass and range at the percent level for the top-Yukawa coupling.