On the relation between pole and running heavy quark masses beyond the fourloop approximation
Abstract
The effective charges motivated method is applied to the relation between pole and MS¯scheme heavy quark masses to study high order perturbative QCD corrections in the observable quantities proportional to the running quark masses. The noncalculated five and sixloop perturbative QCD coefficients are estimated. This approach predicts for these terms the signalternating expansion in powers of number of lighter flavors n_{l}, while the analyzed recently infrared renormalon asymptotic expressions do not reproduce the same behavior. We emphasize that coefficients of the quark mass relation contain proportional to π^{2} effects, which result from analytical continuation from the Euclidean region, where the scales of the running masses and QCD coupling constant are initially fixed, to the Minkowskian region, where the pole masses and the running QCD parameters are determined. For the tquark the asymptotic nature of the nonresummed PT mass relation does not manifest itself at sixloops, while for the bquark the minimal PT term appears at the probed by direct calculations fourloop level. The recent infrared renormalon based studies support these conclusions.
 Publication:

European Physical Journal Web of Conferences
 Pub Date:
 October 2018
 DOI:
 10.1051/epjconf/201819104005
 arXiv:
 arXiv:1809.04395
 Bibcode:
 2018EPJWC.19104005K
 Keywords:

 High Energy Physics  Phenomenology;
 High Energy Physics  Experiment;
 High Energy Physics  Lattice
 EPrint:
 11 pages, to be published in the Proceedings of Quarks2018 Seminar, 27 May2 June, Valday, Russia