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

Abstract

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.

Presented at the Conference "Problems of Theoretical and Mathematical Physics", dedicated to 100th anniversary of the birth of N.N. Bogolyubov, Dubna,August 23-27, 2009 and 9th Symposium on RADCOR-2009, October 25-30, 2009, Ascona; typos corrected,results unchanged

References in corpus (3)

• Hadronic Z- and tau-Decays in Order alpha_s^4
• Mellin Moments of the {$O({\alpha }_s^3$)} Heavy Flavor Contributions to unpolarized Deep-Inelastic Scattering at $Q^2\gg m^2$ and Anomalous Dimensions
• Infrared Renormalization Group Flow for Heavy Quark Masses

Cited by in corpus (4)

• Quark mass relations to four-loop order
• Why should we care about the top quark Yukawa coupling?
• The bottom quark mass from the ${\rm Y}(1S)$ system at NNNLO
• Calculation of binding energies and masses of quarkonia in analytic QCD models