Bottom Quark Mass with Calibrated Uncertainty

TL;DR

This paper accurately determines the bottom quark mass using QCD sum rules, leveraging high-order perturbative calculations and experimental data to ensure reliable uncertainty calibration.

Contribution

It introduces a method that combines perturbative QCD calculations with experimental data for stable bottom quark mass extraction and uncertainty assessment.

Findings

Bottom quark mass $oxed{4180.2 ext{ MeV}}$ with uncertainty 7.9 MeV.

Method achieves consistent results across multiple moments.

Uncertainty calibration improves the reliability of quark mass determinations.

Abstract

We determine the bottom quark mass $\hat{m}_b$ from QCD sum rules of moments of the vector current correlator calculated in perturbative QCD to ${\cal O} (\hat\alpha_s^3)$. Our approach is based on the mutual consistency across a set of moments where experimental data are required for the resonance contributions only. Additional experimental information from the continuum region can then be used for stability tests and to assess the theoretical uncertainty. We find $\hat{m}_b(\hat{m}_b) = (4180.2 \pm 7.9)$ MeV for $\hat\alpha_s(M_Z) = 0.1182$.