Precise Determinations of the Charm and Bottom Quark Masses

TL;DR

This paper introduces a sum-rule method utilizing a broad class of integration kernels to precisely determine the charm and bottom quark masses, achieving some of the most accurate values to date.

Contribution

It presents a novel sum-rule approach that employs flexible integration kernels to minimize uncertainties in quark mass determinations.

Findings

Charm quark mass: 986(13) MeV at 3 GeV

Bottom quark mass: 3617(25) MeV at 10 GeV

Results are among the most precise for these parameters

Abstract

A finite-energy sum-rule is presented that allows for the use of combinations of both positive- and inverse-moment integration kernels. The freedom afforded from being able to employ this large class of integration kernels in our sum-rule is then exploited to obtain the values of the charm and bottom masses with minimum total uncertainty. We obtain as our final results m_c(3 GeV)=986(13) MeV and m_b(10 GeV)=3617(25) MeV, which are amongst the most precise values of these parameters obtained by any method.