Breakdown of QCD Factorization for P-Wave Quarkonium Production at Low Transverse Momentum
Authors
J. P. Ma, J. X. Wang, S. Zhao
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 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.