The second physical moment of the heavy quark vector correlator at O(alpha_s^3)

TL;DR

This paper calculates the second moment of the heavy quark vector correlator at three-loop order, providing crucial theoretical input for precise charm and bottom quark mass determinations.

Contribution

It presents the first calculation of the second moment at O(alpha_s^3), advancing the precision of heavy quark mass extractions.

Findings

Enhanced accuracy in charm and bottom quark mass determinations

First O(alpha_s^3) calculation of the second moment

Implications for QCD sum rule analyses

Abstract

The second moment of the heavy quark vector correlator at O(alpha_s^3) is presented. The implications of this result on recent determinations of the charm and bottom quark mass are discussed.