Research output: Contribution to journal › Article › peer-review
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 journal › Article › peer-review
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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