Dimensional Regularization in Quarkonium Calculations

Details Dimensional Regularization in Quarkonium Calculations Dimensional Regularization in Quarkonium Calculations

1996-10-17

arxiv.org/abs/hep-ph/9610401v2

Phys.Rev.D55:2693-2707,1997

Physics

High Energy Physics

High Energy Physics - Phenomenology

Scientific paper

10.1103/PhysRevD.55.2693

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.

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