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SUMMARY:Multiloop contributions to the heavy quarks masses in QCD and the
structure of the corresponding asymptotic perturbative series
DTSTART;VALUE=DATE-TIME:20191115T130000Z
DTEND;VALUE=DATE-TIME:20191115T140000Z
DTSTAMP;VALUE=DATE-TIME:20200810T123113Z
UID:indico-event-864093@indico.cern.ch
DESCRIPTION:For considering the problem of estimating different sourses of
theoretical uncertainties of top-quark mass values the asymptotic structu
re of the perturbative QCD relation between MS bar and on-shell heavy quar
k masses is analysed\, including the six-loop level. In the process of the
studies the flavor dependence of the O(alphas^5) and O(alphas^6) correcti
ons are estimated using three techniques\, namely the effective charges mo
tivated approach\, the encoded in the asymptotic formula infrared renormal
on method and the large beta0 approximation based on the explicitly known
numerical values of the contributing to the coefficients of the studied re
lation from the leading in powers of the number of massless flavors terms.
The following from the large-beta0 analysis sign-alternating structure of
the expanded in powers of number of flavours estimated five- and six-loop
corrections is studied. It is demonstrated that application of the first
and third techniques leads to the required sign-alternation\, while the se
cond method in used by us approximation respects it only after additional
imposed requirements. Uncertainties of all three used theoretical approach
es are commented.\n\n \n\nhttps://indico.cern.ch/event/864093/
LOCATION:CERN 4/3-006 - TH Conference Room
URL:https://indico.cern.ch/event/864093/
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