# The μ(x, β, α) function and its role in the analysis of the QCD-SVZ sum rules

## Description

Abstract The μ(x, β, α) function and related quantities required by QCD-SVZ sum rules are constructed as FORTRAN functions. A careful study of the behaviour of its asymptotic expansions is performed. It is stated that it does not go at the same pace of the physical expansion for renormalization group dependent quantities, such as α_s , in QCD. Title of program: MUNU Catalogue Id: ACHH_v1_0 Nature of problem The careful treatment of the QCD-SVZ sum rules requires an asymptotic analysis of those mu-functions. In study of any n-point function in QCD one expands alpha s(x) in the (1/log(x)) expansion due to their renormalization group equations to the corresponding level of perturbation theory. The improvement of that n-point function via Borel sum rules result to be linear combinations of the mu(x,beta,alpha) function (and the related nu(x,alpha)) for different values of the alpha and beta parameters. ... Versions of this program held in the CPC repository in Mendeley Data ACHH_v1_0; MUNU; 10.1016/0010-4655(92)90202-A This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)