Updating [formula omitted] from SVZ-moments and their ratios

Stephan Narison

doi:10.1016/j.physletb.2018.08.003

Abstract

Using recent values of αs, the gluon condensates 〈αsG2〉 and 〈g3fabcG3〉 and the new data on the ψ/ϒ-families, we update our determinations of the MS‾ running quark masses m‾c,b(m‾c,b) from the SVZ-moments Mn(Q2) and their ratios [1,2] 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 〈αsG2〉 from the SVZ-(ratios of) moments in the vector channel are given in Section 5.

Highlights

Moments In Refs. [1, 2], we have used different Mn(Q2) moments and their ratios rn/rn+ j introduced by SVZ [4, 5] 1 for extracting the values of the charm and bottom running quark masses mc,b(mc,b) and the dimension 4: αsG2 and 6: g3 fabcG3 gluon condensates
Using the recent values of the gluon condensates from Laplace sum rules [3, 15] and new data on the ψ/Υ-families masses and leptonic widths [16], we shall improve in this paper our previous results for the quark masses
Though it is difficult to estimate the systematic errors of the approach, we

Summary

Introduction

Introduction and SVZMomentsIn Refs. [1, 2], we have used different Mn(Q2) moments and their ratios rn/rn+ j introduced by SVZ [4, 5] 1 for extracting the values of the charm and bottom running quark masses mc,b(mc,b) and the dimension 4: αsG2 and 6: g3 fabcG3 gluon condensates. [1, 2], we have used different Mn(Q2) moments and their ratios rn/rn+ j introduced by SVZ [4, 5] 1 for extracting the values of the charm and bottom running quark masses mc,b(mc,b) and the dimension 4: αsG2 and 6: g3 fabcG3 gluon condensates. Using the recent values of the gluon condensates from Laplace sum rules [3, 15] and new data on the ψ/Υ-families masses and leptonic widths [16], we shall improve in this paper our previous results for the quark masses.

Results

Conclusion