Perturbative heavy quark fragmentation function through O({alpha}{sub s}{sup 2}): Gluon initiated contribution

Journal Article · Tue Mar 01 04:00:00 EST 2005 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.71.054021· OSTI ID:20706111

Mitov, Alexander ^[1]

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1. Department of Physics and Astronomy, University of Hawaii, Honolulu, Hawaii, 96822 (United States)

We derive the gluon initiated contribution to the initial condition for the perturbative fragmentation function of a heavy quark through order O({alpha}{sub s}{sup 2}) in the MS scheme. This result is needed for the resummation with next-to-next-to-leading logarithmic accuracy of quasicollinear logarithms ln{sup k}(m{sup 2}) in heavy quark differential distributions by solving the complete Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP) equation. Together with the previously evaluated fermion initiated components, this result completes the derivation of the initial condition for the perturbative fragmentation function at next-to-next-to-leading order.

• OSTI ID: 20706111
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 5 Vol. 71; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
B QUARKS
C QUARKS
COUPLING CONSTANTS
DISTRIBUTION
FIELD EQUATIONS
GLUONS
PERTURBATION THEORY
QUANTUM CHROMODYNAMICS
RENORMALIZATION
T QUARKS