scholarly journals Heavy quark masses from sum rules in four-loop approximation

2007 ◽  
Vol 778 (1-2) ◽  
pp. 192-215 ◽  
Author(s):  
Johann H. Kühn ◽  
Matthias Steinhauser ◽  
Christian Sturm
2018 ◽  
Vol 191 ◽  
pp. 04005 ◽  
Author(s):  
A. L. Kataev ◽  
V. S. Molokoedov

The effective charges motivated method is applied to the relation between pole and M̅S̅-scheme heavy quark masses to study high order perturbative QCD corrections in the observable quantities proportional to the running quark masses. The non-calculated five- and six-loop perturbative QCD coefficients are estimated. This approach predicts for these terms the sign-alternating expansion in powers of number of lighter flavors nl, while the analyzed recently infrared renormalon asymptotic expressions do not reproduce the same behavior. We emphasize that coefficients of the quark mass relation contain proportional to π2 effects, which result from analytical continuation from the Euclidean region, where the scales of the running masses and QCD coupling constant are initially fixed, to the Minkowskian region, where the pole masses and the running QCD parameters are determined. For the t-quark the asymptotic nature of the non-resummed PT mass relation does not manifest itself at six-loops, while for the b-quark the minimal PT term appears at the probed by direct calculations four-loop level. The recent infrared renormalon based studies support these conclusions.


2021 ◽  
Author(s):  
Pere Masjuan ◽  
Jens Paul Arthur Erler ◽  
Hubert Spiesberger

2018 ◽  
Vol 191 ◽  
pp. 04013
Author(s):  
A. L. Kataev ◽  
V. S. Molokoedov

Citations in the original article are corrupted due to error made by Editors QUARKS-2018. See the Full text with correct citations in PDF file.


1993 ◽  
Vol 301 (2-3) ◽  
pp. 243-248 ◽  
Author(s):  
E. Bagan ◽  
M. Chabab ◽  
H.G. Dosch ◽  
S. Narison

2009 ◽  
Vol 79 (1) ◽  
Author(s):  
C. A. Dominguez ◽  
N. F. Nasrallah ◽  
R. H. Röntsch ◽  
K. Schilcher

Author(s):  
F. JUGEAU ◽  
A. LE YAOUANC ◽  
L. OLIVER ◽  
J.-C. RAYNAL

2002 ◽  
Vol 24 (3) ◽  
pp. 439-446 ◽  
Author(s):  
J. Portolés ◽  
P.D. Ruiz-Femenía
Keyword(s):  

2019 ◽  
Vol 2019 (2) ◽  
Author(s):  
C. A. Dominguez ◽  
A. Mes ◽  
K. Schilcher

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