V RUSSIAN-IBERIAN CONGRESS: Particle, Nuclear, Astroparticle Physics and Cosmology

7-11 October 2019

Various definitions of heavy quarks masses in QCD and the structures of their perturbative relations through several resummations approaches

9 Oct 2019, 09:40
35m

Speaker

Dr. Andrei Kataev (INR RAS )

Description

The asymptotic structure of the perturbative relation between $\bar{MS}$ and on-shell heavy quark masses is considered in QCD at the O(\alpha_s^6) level. The flavour-dependence of the considered PT corrections is analysed. In higher orders this dependence is estimated using three techniques, namely the effective charges motivated approach, the encoded in the asymptotic formula infrared renormalon method and the large-β0 approximation based on the explicit calculations of the leading in powers of the number nl of massless flavors terms. The following from the large-β0 analysis sign-alternating structure of the expanded in powers of nl estimated five- and six-loop corrections is studied in detail. It is demonstrated that application of the first and third techniques leads to the required sign-alternation, while the second method in used by us approximation respects it only after additional imposed requirements.

Primary authors

Dr. Andrei Kataev (INR RAS ) Mr. Viktor Molokoedov (Moscow Institute of Physics and Technology)

Presentation Materials

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