Matching the heavy-quark fields in QCD and HQET at four loops
High Energy Physics - Phenomenology
2020-09-16 v2
Abstract
The QCD/HQET matching coefficient for the heavy-quark field is calculated up to four loops. It must be finite; this requirement produces analytical results for some terms in the four-loop on-shell heavy-quark field renormalization constant which were previously only known numerically. The effect of a non-zero lighter-flavor mass is calculated up to three loops. A class of on-shell integrals with two masses is analyzed in detail. By specifying our result to QED, we obtain the relation between the electron field and the Bloch--Nordsieck field with four-loop accuracy.
Cite
@article{arxiv.2005.14047,
title = {Matching the heavy-quark fields in QCD and HQET at four loops},
author = {Andrey G. Grozin and Peter Marquard and Alexander V. Smirnov and Vladimir A. Smirnov and Matthias Steinhauser},
journal= {arXiv preprint arXiv:2005.14047},
year = {2020}
}
Comments
20 pages. v2: ref. [48] added, small changes in the text, corresponds to the journal version