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On exact account of heavy quark thresholds in hard processes

Abstract

We study the problem to accurately account for the heavy quark threshold effects in hard processes. We employ the direction perturbative Feynman diagram analysis and the Stueckelberg-Bogoliubov massive renormalization group formalism to show that both methods results in the same prescription for the `physical` mass-dependent QCD effective coupling as an argument of anomalous dimensions that determine the evolution of structure function (parton distributions). By considering the one-loop example, we demonstrate that an intrinsic ambiguity of the standard approach based on the notion of `effective number of quark flavours` may affect the {alpha}{sub s} determination at the level of two-loop effects.
Authors:
Dokshitzer, Yu L; [1]  Shirkov, D V [2] 
  1. Lund Univ. (Sweden). Dept. of Theoretical Physics
  2. Bogoliubov Lab., JINR Dubna, Moscow (Russian Federation)
Publication Date:
Dec 31, 1993
Product Type:
Technical Report
Report Number:
LU-TP-93-19
Reference Number:
SCA: 662230; PA: AIX-25:012342; EDB-94:040750; ERA-19:010701; NTS-94:018196; SN: 94001153048
Resource Relation:
Other Information: PBD: [1993]
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; QUARKS; THRESHOLD ENERGY; FLAVOR MODEL; MASS RENORMALIZATION; QUANTUM CHROMODYNAMICS; 662230
OSTI ID:
10127375
Research Organizations:
Lund Univ. (Sweden). Dept. of Theoretical Physics
Country of Origin:
Sweden
Language:
English
Other Identifying Numbers:
Other: ON: DE94614551; TRN: SE9300323012342
Availability:
OSTI; NTIS; INIS
Submitting Site:
SWDN
Size:
28 p.
Announcement Date:
Jul 04, 2005

Citation Formats

Dokshitzer, Yu L, and Shirkov, D V. On exact account of heavy quark thresholds in hard processes. Sweden: N. p., 1993. Web.
Dokshitzer, Yu L, & Shirkov, D V. On exact account of heavy quark thresholds in hard processes. Sweden.
Dokshitzer, Yu L, and Shirkov, D V. 1993. "On exact account of heavy quark thresholds in hard processes." Sweden.
@misc{etde_10127375,
title = {On exact account of heavy quark thresholds in hard processes}
author = {Dokshitzer, Yu L, and Shirkov, D V}
abstractNote = {We study the problem to accurately account for the heavy quark threshold effects in hard processes. We employ the direction perturbative Feynman diagram analysis and the Stueckelberg-Bogoliubov massive renormalization group formalism to show that both methods results in the same prescription for the `physical` mass-dependent QCD effective coupling as an argument of anomalous dimensions that determine the evolution of structure function (parton distributions). By considering the one-loop example, we demonstrate that an intrinsic ambiguity of the standard approach based on the notion of `effective number of quark flavours` may affect the {alpha}{sub s} determination at the level of two-loop effects.}
place = {Sweden}
year = {1993}
month = {Dec}
}