Towards a physical expansion in perturbative gauge theories by using improved BakerGammel approximants
Abstract
Applicability of the previously introduced method of modified diagonal BakerGammel approximants is extended to truncated perturbation series (TPS) of any order in gauge theories. The approximants reproduce the TPS when expanded in power series of the gauge coupling parameter to the order of that TPS. The approximants have the favorable property of being exactly invariant under the change of the renormalization scale, and that property is arrived at by a generalization of the method of the diagonal Padé approximants. The renormalization scheme dependence is subsequently eliminated by a variant of the method of the principle of minimal sensitivity (PMS). This is done by choosing the values of the renormalizationschemedependent coefficients ( β_{2}, β_{3}, …), which appear in the beta function of the gauge coupling parameter, in such a way that the diagonal BakerGammel approximants have zero values of partial derivatives with respect to these coefficients. The resulting approximants are then independent of the renormalization scale and of the renormalization scheme.
 Publication:

Nuclear Physics B
 Pub Date:
 June 1998
 DOI:
 10.1016/S05503213(98)002302
 arXiv:
 arXiv:hepph/9802248
 Bibcode:
 1998NuPhB.522..396C
 Keywords:

 High Energy Physics  Phenomenology
 EPrint:
 LaTeX (REVTeX), 14 pages, one reference added, one affiliation updated