On Exact account of heavy quark thresholds in hard processes - INSPIRE

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On Exact account of heavy quark thresholds in hard processes

Yuri L. Dokshitzer
(
- Lund U.
)
,
D.V. Shirkov
(
- Dubna, JINR
)

Nov 8, 1993

27 pages

Published in:

Z.Phys.C 67 (1995) 449-458

DOI:

10.1007/BF01624587

Report number:

LU-TP-93-19,
JINR-E2-93-337

View in:

AMS MathSciNet

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Abstract: (Springer)

We study the problem of accurate account for heavy quark threshold effects in hard processes. We employ the direct perturbative Feynman diagram analysis and the Stueckelberg-Bogoliubov massive renormalization group formalism to show that both methods result in the same prescription for the “smooth” mass-dependent QCD effective coupling as an argument of anomalous dimensions that determine the evolution of structure functions (parton distributions). By considering a one-loop example, we discuss the difference between our smooth expression and a popular massless one in treating the

\bar \alpha _s (Q)

behavior in the threshold vicinity.

hard scattering
heavy quark
effect: threshold
quantum chromodynamics
perturbation theory: higher-order
renormalization group
lepton hadron: deep inelastic scattering
deep inelastic scattering: lepton hadron
structure function
coupling constant

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