Updating m_c,b(m_c,b) from SVZ-Moments and their Ratios

TL;DR

This paper refines the determination of charm and bottom quark masses using SVZ sum rules, incorporating higher order corrections and updated data, resulting in more precise and confirmed values.

Contribution

It introduces an improved method for extracting quark masses from SVZ moments by including higher order perturbative and non-perturbative corrections and using stability criteria.

Findings

m_c(m_c)=1264(6) MeV obtained

m_b(m_b)=4188(8) MeV obtained

Results confirm previous determinations

Abstract

Using recent values of \alpha_s, the gluon condensates <\alpha_s G^2> and <g^3 f_abcG^3> and the new data on the \psi/\Upsilon-families, we update our determinations of the MS-bar running quark masses m_c,b(m_c,b) from the SVZ-Moments M_n(Q^2) and their ratios by including higher order perturbative (PT) corrections, non-perturbative (NPT) terms up to dimension d=8 and using the degree n-stability criteria of the (ratios of) moments. Optimal results from different (ratios of) moments converge to the accurate mean values: m_c(m_c)=1264(6) MeV} and m_b(m_b)=4188(8) MeV in Table 4, which improve and confirm our previous findings [1,2] and the recent ones from Laplace sum rules [3]. Comments on some other determinations of m_c(m_c) and <\alpha_s G^2> from the SVZ-(ratios of) moments in the vector channel are given in Section 5.