A new determination of the charm mass from the non-analytic reconstruction of the heavy quark correlator

TL;DR

This paper introduces a novel non-analytic reconstruction method based on Mellin-Barnes properties to accurately determine the charm quark mass from experimental data, improving precision in heavy quark physics.

Contribution

It presents a new non-analytic reconstruction technique utilizing Mellin-Barnes properties for precise charm mass extraction from experimental data.

Findings

Estimated charm quark mass: 1.12 ± 0.08 GeV

Method achieves consistency with experimental measurements

Provides a new approach for heavy quark mass determination

Abstract

Using the new non-analytic reconstruction method obtained from Mellin-Barnes properties, one can extract the value $m_c(\bar{\text{MS}}) = 1.12 \pm 0.08 \;\; \text{GeV}$ from experimental data of the radiation-corrected measured hadronic cross section to the calculated lowest-order cross section for muon pair production in the heavy-quark approximation.