Heavy baryon properties with NLO accuracy in perturbative QCD

TL;DR

This paper provides a detailed NLO perturbative QCD analysis of heavy baryon properties, including three-loop correlator results, spectral density moments, and sum rule-based residue calculations.

Contribution

It introduces analytical three-loop NLO results for heavy baryon correlators with finite mass quarks, extending previous work and covering massless and HQET limits.

Findings

Agreement with previous results in special limits

Closed-form spectral density moments

Residues of baryon states determined via sum rules

Abstract

We present an analysis of the static properties of heavy baryons at next-to-leading order in the perurbative expansion of QCD. We obtain analytical next-to-leading order three-loop results for the two-point correlators of baryonic currents with one finite mass quark field for a variety of quantum numbers of the baryonic currents. We consider both the massless limit and the HQET limit of the correlator as special cases of the general finite mass formula and find agreement with previous results. We present closed form expressions for the moments of the spectral density. We determine the residues of physical baryon states using sum rule techniques.