Published May 2020 | Version v1
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Matching the heavy-quark fields in QCD and HQET at four loops

  • 1. Novosibirsk State University (Russian Federation)
  • 2. Budker Institute of Nuclear Physics, Novosibirsk (Russian Federation)
  • 3. Deutsches Elektronen–Synchrotron (DESY), Zeuthen (Germany)
  • 4. Moscow State University (Russian Federation). Research Computing Center
  • 5. Moscow State University (Russian Federation). Skobeltsyn Institute of Nuclear Physics
  • 6. Karlsruher Institut für Technologie (KIT), Karlsruhe (Germany). Institute für Theoretische Teilchenphysik

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 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.

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Additional details

Identifiers

Publishing Information

Imprint Pagination
20 p.
ISSN
0418-9833
Report number
DESY--20-092

Optional Information

Secondary number(s)
SAGEX--20-14