Multiloop contributions to the on-shell-$ øverline\mathrmMS$ heavy quark mass relation in QCD and the asymptotic structure of the corresponding series: the updated considerationстатья
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Дата последнего поиска статьи во внешних источниках: 8 декабря 2021 г.
Аннотация:The asymptotic structure of the QCD perturbativerelation between the on-shell and MS heavy quark masses is studied. We estimate the five and six-loop contributions to this relation by three different techniques. First, the effectivecharges motivated approach in two variants is used. Second, the results following from the large-β0 approximation are analyzed. Finally, the consequences of applying the asymptotic renormalon-based formula are investigated. We showthat all approaches lead to corrections which are qualitatively consistent in order of magnitude. Their sign-alternating character in powers of the number of massless quarks is demonstrated. We emphasize that there is no contradictionin the behavior of the fine structure of the renormalon-based estimates with other approaches if one use the detailed information about the normalization factor included in the renormalon asymptotic formula. The obtained five- and six-loop estimates indicate that in the case of the b-quark the asymptotic character of the studied relation manifests itself above the fourth order of PT, whereas for the t-quark it starts toreveal itself after the seventh order. This allows to conclude that like the running masses, the pole masses of the b and especially t-quark in principle may be used in the phenomenologically-oriented studies.