3-loop gauge coupling for hot gauge theories

TL;DR

This paper reviews the calculation of gauge coupling constants in thermal QCD using dimensionally reduced effective theories, emphasizing the importance of higher-order operators in three-loop matching.

Contribution

It introduces the necessity of including higher-order operators in three-loop matching for accurate coupling determination in thermal QCD.

Findings

Higher-order operators are essential at three-loop order.

Matching parameters require consideration of operators beyond super-renormalizable truncation.

The review clarifies the role of these operators in effective field theories.

Abstract

This talk offers a brief review of the determination of coupling constants in the framework of dimensionally reduced effective field theories for thermal QCD, specializing on its gluonic sector. Interestingly, higher-order operators that go beyond the usual super-renormalizable truncation of the effective theory need to be considered when matching parameters at three loops.