Spectral reconstruction details of a gradient-flowed color-electric correlator

TL;DR

This paper discusses a new lattice-based method using gradient flow to extract the heavy quark momentum diffusion coefficient from color-electric correlators, emphasizing systematic uncertainties and comparison with other results.

Contribution

It provides detailed analysis of systematic uncertainties in spectral reconstruction of color-electric correlators using gradient flow on the lattice.

Findings

Quantified systematic uncertainties in the spectral reconstruction process.

Compared results with other studies to validate the method.

Highlighted the importance of perturbative model fits in the analysis.

Abstract

In a recently published work we provide a proof-of-concept of a novel method to extract the heavy quark momentum diffusion coefficient from color-electric correlators on the lattice using gradient flow. The transport coefficient can be found in the infrared limit of the corresponding spectral function which is reconstructed through perturbative model fits of the correlator data. In this proceedings report we want to give more detailed insights into the systematic uncertainties of this procedure and compare our results with other studies.