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Matching the heavy-quark fields in QCD and HQET at four loops. / Grozin, Andrey G.; Marquard, Peter; Smirnov, Alexander V. et al.

In: Physical Review D, Vol. 102, No. 5, 054008, 01.09.2020.

Research output: Contribution to journalArticlepeer-review

Harvard

Grozin, AG, Marquard, P, Smirnov, AV, Smirnov, VA & Steinhauser, M 2020, 'Matching the heavy-quark fields in QCD and HQET at four loops', Physical Review D, vol. 102, no. 5, 054008. https://doi.org/10.1103/PhysRevD.102.054008

APA

Grozin, A. G., Marquard, P., Smirnov, A. V., Smirnov, V. A., & Steinhauser, M. (2020). Matching the heavy-quark fields in QCD and HQET at four loops. Physical Review D, 102(5), [054008]. https://doi.org/10.1103/PhysRevD.102.054008

Vancouver

Grozin AG, Marquard P, Smirnov AV, Smirnov VA, Steinhauser M. Matching the heavy-quark fields in QCD and HQET at four loops. Physical Review D. 2020 Sept 1;102(5):054008. doi: 10.1103/PhysRevD.102.054008

Author

Grozin, Andrey G. ; Marquard, Peter ; Smirnov, Alexander V. et al. / Matching the heavy-quark fields in QCD and HQET at four loops. In: Physical Review D. 2020 ; Vol. 102, No. 5.

BibTeX

@article{abf3a607e52c4c86bf9e2698d06ce079,
title = "Matching the heavy-quark fields in QCD and HQET at four loops",
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 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.",
keywords = "EXPANDING HYPERGEOMETRIC-FUNCTIONS, FEYNMAN-INTEGRALS, MASS, RENORMALIZATION, INVARIANT, POLE, REGULARIZATION, REDUCTION",
author = "Grozin, {Andrey G.} and Peter Marquard and Smirnov, {Alexander V.} and Smirnov, {Vladimir A.} and Matthias Steinhauser",
year = "2020",
month = sep,
day = "1",
doi = "10.1103/PhysRevD.102.054008",
language = "English",
volume = "102",
journal = "Physical Review D",
issn = "2470-0010",
publisher = "AMER PHYSICAL SOC",
number = "5",

}

RIS

TY - JOUR

T1 - Matching the heavy-quark fields in QCD and HQET at four loops

AU - Grozin, Andrey G.

AU - Marquard, Peter

AU - Smirnov, Alexander V.

AU - Smirnov, Vladimir A.

AU - Steinhauser, Matthias

PY - 2020/9/1

Y1 - 2020/9/1

N2 - 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.

AB - 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.

KW - EXPANDING HYPERGEOMETRIC-FUNCTIONS

KW - FEYNMAN-INTEGRALS

KW - MASS

KW - RENORMALIZATION

KW - INVARIANT

KW - POLE

KW - REGULARIZATION

KW - REDUCTION

UR - http://www.scopus.com/inward/record.url?scp=85092653047&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.102.054008

DO - 10.1103/PhysRevD.102.054008

M3 - Article

AN - SCOPUS:85092653047

VL - 102

JO - Physical Review D

JF - Physical Review D

SN - 2470-0010

IS - 5

M1 - 054008

ER -

ID: 25626855