Proof of NRQCD Factorization at All Order in Coupling Constant in Heavy Quarkonium Production

Abstract

Recently the proof of factorization in heavy quarkonium production in NRQCD color octet mechanism is given at next-to-next-to-leading order (NNLO) in coupling constant by using diagrammatic method of QCD. In this paper we prove factorization in heavy quarkonium production in NRQCD color octet mechanism at all order in coupling constant by using path integral method of QCD. Our proof is valid to all powers in the heavy quark relative velocity. We find that the gauge invariance and the factorization at all order in coupling constant require gauge-completed non-perturbative NRQCD matrix elements that were introduced previously to prove factorization at NNLO.

Final Version, Accepted for Publication in Eur. Phys. J. C, 37 Pages Latex

References in corpus (4)

• Measurement of the relative prompt production rate of chi(c2) and chi(c1) in pp collisions at sqrt(s) = 7 TeV
• NRQCD Factorization and Velocity-dependence of NNLO Poles in Heavy Quarkonium Production
• Color Transfer in Associated Heavy-Quarkonium Production
• Color Transfer Enhancement for Heavy Quarkonium Production

Cited by in corpus (5)

• Inclusive Production of Heavy Quarkonia in pNRQCD
• Photoproduction of $J/\psi$ with forward hadron tagging in hadronic collisions
• Correct Definition of Color Singlet P-Wave Non-Perturbative Matrix Element of Heavy Quarkonium Production
• Proof of Factorization of ${\chi }_{cJ}$ Production in Non-Equilibrium QCD at RHIC and LHC in Color Singlet Mechanism
• Proof of Factorization of Heavy Quarkonium Production in Non-Equilibrium QCD at RHIC and LHC