$O(\alpha_s)$ corrections to the correlator of finite mass baryon currents

TL;DR

This paper provides analytical next-to-leading order calculations for the baryonic current correlator involving one finite mass quark at three loops, including special cases and spectral density moments.

Contribution

It offers the first comprehensive three-loop level analytical results for the correlator with finite mass quarks, bridging massless and HQET limits.

Findings

Derived explicit three-loop correlator expressions

Connected finite mass results with massless and HQET limits

Provided spectral density moments for further analysis

Abstract

We present analytical next-to-leading order results for the correlator of baryonic currents at the three loop level with one finite mass quark. We obtain the massless and the HQET limit of the correlator from the general formula as particular cases. We also give explicit expressions for the moments of the spectral density.