Moments of heavy-light current correlators up to three loops

TL;DR

This paper computes three-loop moments of heavy-light current correlators for different quark flavors, providing expansions for special mass cases and approximations for general masses.

Contribution

It introduces high-precision three-loop calculations of heavy-light current correlator moments, including expansions and approximations for arbitrary quark mass ratios.

Findings

Computed moments up to three loops for various current correlators.

Derived expansions around zero and equal mass limits.

Constructed approximations valid for any mass ratio.

Abstract

We consider moments of the non-diagonal vector, axial-vector, scalar and pseudo-scalar current correlators involving two different massive quark flavours up to three-loop accuracy. Expansions around the limits where one mass is zero and the equal-mass case are computed. These results are used to construct approximations valid for arbitrary mass values.