Dimensional regularization in quarkonium calculations

Journal Article · Sat Mar 01 04:00:00 EST 1997 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.55.2693· OSTI ID:467519

Braaten, E; Chen, Y ^[1]

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1. Physics Department, Ohio State University, Columbus, Ohio 43210 (United States)

Dimensional regularization is incompatible with the standard covariant projection methods that are used to calculate the short-distance coefficients in inclusive heavy-quarkonium production and annihilation rates. A new method is developed that allows dimensional regularization to be used consistently to regularize the infrared and ultraviolet divergences that arise in these perturbative calculations. We illustrate the method by calculating the leading color-octet terms and the leading color-singlet terms in the gluon fragmentation functions for arbitrary quarkonium states. We resolve a discrepancy between two previous calculations of the gluon fragmentation functions for the spin-triplet P-wave quarkonium states. {copyright} {ital 1997} {ital The American Physical Society}

• OSTI ID: 467519
• Journal Information: Physical Review, D, Journal Name: Physical Review, D Journal Issue: 5 Vol. 55; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
ANNIHILATION
COLOR MODEL
FRAGMENTATION
GAUGE INVARIANCE
GLUONS
LORENTZ INVARIANCE
OCTET MODEL
P WAVES
PARTICLE PRODUCTION
PERTURBATION THEORY
QUANTUM CHROMODYNAMICS
QUARKONIUM
RENORMALIZATION
ULTRAVIOLET DIVERGENCES