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Recently we have proved color octet NRQCD factorization of S-wave heavyquarkonium production at all orders in coupling constant at high energycolliders in Eur. Phys. J. C76 (2016) 448. In this paper we extend this toprove color octet NRQCD factorization of P-wave heavy quarkonium production atall orders in coupling constant at high energy colliders. We find that whilethe color octet NRQCD S-wave non-perturbative matrix element contains twogauge-links in the adjoint representation of SU(3), the color octet NRQCDP-wave non-perturbative matrix element contains four gauge-links in thefundamental representation of SU(3).

Proof of Color Octet NRQCD Factorization of P-Wave Heavy Quarkonium Production at All Orders in Coupling Constant