Correct Definition of Color Singlet P-Wave Non-Perturbative Matrix Element of Heavy Quarkonium Production

Abstract

Recently we have proved factorization of infrared divergences in NRQCD S-wave heavy quarkonium production at high energy colliders at all orders in coupling constant. One of the problem which still exists in the higher order pQCD calculation of color singlet P-wave heavy quarkonium production/anihillation is the appearance of non-canceling infrared divergences due to real soft gluons exchange, although no such infrared divergences are present in the color singlet S-wave heavy quarkonium. In this paper we find that since the non-perturbative matrix element of the color singlet P-wave heavy quarkonium production contains derivative operators, the gauge links are necessary to make it gauge invariant and be consistent with the factorization of such non-canceling infrared divergences at all orders in coupling constant.

18 pages latex, Final Version, Accepted for Publication in JHEP

References in corpus (4)

• NRQCD Factorization and Velocity-dependence of NNLO Poles in Heavy Quarkonium Production
• Proof of NRQCD Factorization at All Order in Coupling Constant in Heavy Quarkonium Production
• Light-Like Wilson Line in QCD Without Path Ordering
• Jet Quenching and Gluon to Hadron Fragmentation Function in Non-Equilibrium QCD at RHIC and LHC

Cited by in corpus (3)

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