On series and integral representations of some NRQCD master integrals

TL;DR

This paper introduces new exact series and integral representations for NRQCD master integrals, facilitating their analysis and expansion at fixed space-time dimensions, which is crucial for precise QCD-NRQCD matching.

Contribution

It presents novel exact series and integral representations for NRQCD master integrals that are valid in arbitrary space-time dimensions, along with their series expansions at fixed dimensions.

Findings

New exact series representations for NRQCD master integrals

Integral representations valid in arbitrary dimensions

Series expansion techniques at fixed space-time dimensions

Abstract

We consider new ways of obtaining series and integral representations for master integrals arising in the process of matching of QCD to NRQCD. The latter results are exact in space-time dimension $d$. In addition, we discuss series expansion of the obtained results at fixed values of $d$.