# Light vector correlator in medium: Wilson coefficients up to dimension 6 operators

## TL;DR

This paper enhances the QCD sum rule approach by calculating Wilson coefficients for all independent gluonic operators up to dimension 6 in the vector channel, aiding the study of light vector mesons in medium.

## Contribution

It provides the first complete calculation of Wilson coefficients for gluonic operators up to dimension 6 in the vector channel, including heavy quark expansion results.

## Key findings

- Complete OPE for vector channel in medium achieved
- Wilson coefficients for gluonic operators up to dimension 6 calculated
- Heavy quark expansion of relevant condensates performed

## Abstract

As an improvement of the QCD sum rule method to study modifications of light vector mesons in nuclear matter and/or at finite temperature, we calculate the Wilson coefficients of all independent gluonic non-scalar operators up to dimension 6 in the operator product expansion (OPE) of the vector channel for light quarks. To obtain the gluon part of the light quark OPE from the heavy quark one, we also compute the heavy quark expansion of the relevant quark condensates. Together with the results for the quark operators that are already available in the literature, this completes the OPE of the vector channel in a hot or dense medium for operators up to dimension 6.