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

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arxiv 1405.3373 v2 pith:YVDNQEV7 submitted 2014-05-14 hep-ph

classification hep-ph
keywords factorizationquarkoniumone-loopp-waveholdslevelmomentumproduction
verification ladder T0 review T1 audit T2 compute T3 formal
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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.

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  1. Two-loop form factors for $P$-wave quarkonium production and decay

    hep-ph 2025-01 conditional novelty 8.0 of 10

    Analytic two-loop form factors for chi_{Q,J} production and decay are presented, including a new NRQCD singularity that couples P-wave states to the 3S1[8] configuration.

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