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Paper detail

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 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.

preprint2020arXivOpen access
Andrey G. GrozinPeter MarquardAlexander V. SmirnovVladimir A. SmirnovMatthias Steinhauser
hep-ph
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Andrey G. GrozinPeter MarquardAlexander V. SmirnovVladimir A. SmirnovMatthias Steinhauser

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