Breakdown of QCD Factorization for P-Wave Quarkonium Production at Low Transverse Momentum

Abstract

Quarkonium production at low transverse momentum in hadron collisions can be used to extract Transverse-Momentum-Dependent(TMD) gluon distribution functions, if TMD factorization holds there. We show that TMD factorization for the case of P-wave quarkonium with $J^{PC}=0^{++},2^{++}$ holds at one-loop level, but is violated beyond one-loop level. TMD factorization for other P-wave quarkonium is also violated already at one-loop.

Published version in Physics Letters B (2014), pp. 103-108

References in corpus (2)

• Transverse-momentum resummation for top-quark pairs at hadron colliders
• NRQCD Factorization and Velocity-dependence of NNLO Poles in Heavy Quarkonium Production

Cited by in corpus (6)

• Gluon TMDs in quarkonium production
• Impact of gluon polarization on Higgs plus jet production at the LHC
• Spin physics and TMD studies at A Fixed-Target ExpeRiment at the LHC (AFTER@LHC)
• Resummation and renormalization of kinematical effects in inclusive $P$-wave quarkonium production
• Two-loop form factors for $P$-wave quarkonium production and decay
• Transverse momentum dependent gluon distributions at the LHC