Matching the heavy-quark fields in QCD and HQET at four loops

Matching the heavy-quark fields in QCD and HQET at four loops

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...

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Veröffentlicht in:Physical review. D 2020-09, Vol.102 (5), p.1, Article 054008
Hauptverfasser: Grozin, Andrey G., Marquard, Peter, Smirnov, Alexander V., Smirnov, Vladimir A., Steinhauser, Matthias
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Flavor (particle physics)
Matching
Mathematical analysis
Quantum chromodynamics
Quarks
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container_issue 5
container_start_page 1
container_title Physical review. D
container_volume 102
creator Grozin, Andrey G.
Marquard, Peter
Smirnov, Alexander V.
Smirnov, Vladimir A.
Steinhauser, Matthias
description 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 nonzero 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.
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subjects Flavor (particle physics)
Matching
Mathematical analysis
Quantum chromodynamics
Quarks
title Matching the heavy-quark fields in QCD and HQET at four loops
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