Next-to-Leading Order perturbative QCD corrections to baryon correlators in matter

TL;DR

This paper calculates the next-to-leading order perturbative QCD corrections to baryon correlators in nuclear matter, highlighting the importance of including these large corrections in sum rule analyses of nucleons and nuclear matter.

Contribution

It provides the first calculation of O(alpha_s) corrections to the vector quark condensate coefficient functions in matter, accounting for Lorentz invariance violation.

Findings

NLO corrections are large, significantly affecting sum rule results.

The calculation emphasizes the necessity of including NLO corrections in nuclear matter studies.

Abstract

We compute the next-to-leading order perturbative QCD corrections to the correlators of nucleon interpolating currents in relativistic nuclear matter. The main new result is the calculation of the O(alpha_s) perturbative corrections to the coefficient functions of the vector quark condensate in matter. This condensate appears in matter due to the violation of Lorentz invariance. The NLO perturbative QCD corrections turn out to be large which implies that the NLO corrections must be included in a sum rule analysis of the properties of both bound nucleons and relativistic nuclear matter.