Peculiar features of the relations between pole and running heavy quark masses and estimates of the O(α_s^4) contributions

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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Presented at the Conference "Problems of Theoretical and Mathematical Physics", dedicated to 100th anniversary of the birth of

Scientific paper

10.1134/S1063779610060262

Perturbative relations between pole and running heavy quark masses, defined
in the Minkowski regions, are considered. Special attention is paid to the
appearance of the kinematic $\pi^2$-effects, which exist in the coefficients of
these series. The estimates of order $O(\alpha_s^4)$ QCD corrections are
presented.

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