Matching coefficients for alpha_s and m_b to O(alpha_s^2) in the MSSM

TL;DR

This paper calculates precise two-loop matching coefficients for alpha_s and m_b in the MSSM, revealing significant effects of supersymmetric particle masses and three-loop corrections on high-energy predictions.

Contribution

It provides the first exact two-loop matching coefficients for alpha_s and m_b in the MSSM, including O(alpha_s^2) SQCD contributions, enhancing precision in supersymmetric parameter predictions.

Findings

Mass pattern of supersymmetric particles significantly affects alpha_s and m_b predictions.

Three-loop corrections can exceed experimental uncertainties.

Large tan(beta) regime can see up to 30% correction to m_b.

Abstract

We compute the exact two-loop matching coefficients for the strong coupling constant alpha_s and the bottom-quark mass m_b within the Minimal Supersymmetric Standard Model (MSSM), taking into account O(alpha_s^2) contributions from Supersymmetric Quantum Chromodynamics (SQCD). We find that the explicit mass pattern of the supersymmetric particles has a significant impact on the predictions of alpha_s and m_b at high energies. Further on, the three-loop corrections exceed the uncertainty due to the current experimental accuracy. In case of the the running bottom-quark mass, they can reach in the large tan(beta) regime up to 30% of the tree-level value.