Breakdown of QCD factorization for P-wave quarkonium production at low transverse momentum

• DOI: 10.1016/j.physletb.2014.08.033
• Publication Date: 2014-08-15T01:19:28Z
• Authors: J.P. Ma; J.X. Wang; S. Zhao
• Keywords: Nuclear and High Energy Physics; High Energy Physics - Phenomenology; High Energy Physics - Phenomenology (hep-ph); Physics; QC1-999; 0103 physical sciences; FOS: Physical sciences; 01 natural sciences

Published version in Physics Letters B (2014), pp. 103-108<br/>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.<br/>