Bottom-quark mass from finite energy QCD sum rules

TL;DR

This paper uses finite energy QCD sum rules with inverse and positive moments to precisely determine the bottom quark mass, achieving the lowest uncertainty among existing methods.

Contribution

It introduces a novel application of finite energy QCD sum rules with combined kernels to accurately measure the bottom quark mass with minimal systematic uncertainties.

Findings

Bottom quark mass in MSbar scheme at 10 GeV: 3623(9) MeV

Scale-invariant bottom quark mass: 4171(9) MeV

Lowest total uncertainty among QCD sum rule methods

Abstract

Finite energy QCD sum rules involving both inverse and positive moment integration kernels are employed to determine the bottom quark mass. The result obtained in the $\bar{\text {MS}}$ scheme at a reference scale of $10\, {GeV}$ is $\bar{m}_b(10\,\text{GeV})= 3623(9)\,\text{MeV}$. This value translates into a scale invariant mass $\bar{m}_b(\bar{m}_b) = 4171 (9)\, {MeV}$. This result has the lowest total uncertainty of any method, and is less sensitive to a number of systematic uncertainties that affect other QCD sum rule determinations.