Fragmentation functions of polarized heavy quarkonium

Abstract

Study of the polarized heavy quarkonium production in recently proposed QCD factorization formalism requires knowledge of a large number of input fragmentation functions (FFs) from a single parton or a heavy quark-antiquark pair to a polarized heavy quarkonium. In this paper, we calculate these FFs at the input scale in terms of nonrelativistic QCD (NRQCD) factorization. We derive all relevant polarized NRQCD long-distance matrix elements based symmetries and propose a self-consistent scheme to define them in arbitrary $d$ dimensions. We then calculate polarized input FFs contributed from all $S$-wave and $P$-wave NRQCD intermediate states. With our calculation of the polarized input FFs, and the partonic hard part available in literatures, the QCD factorization formalism is ready to be applied to polarized heavy quarkonium production.

30 pages, 1 figure

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Cited by in corpus (21)

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• $J/\psi$ polarization in the CGC+NRQCD approach
• $J/\psi$ production and polarization within a jet
• New factorization theory for heavy quarkonium production and decay
• Vector quarkonia at the LHC with JETHAD: A high-energy viewpoint
• NLO fragmentation functions for a quark into a spin-singlet quarkonium: Same flavor case
• Fragmentation functions for axial-vector heavy tetraquarks: A TQ4Q1.1 update
• Fragmentation functions for a quark into a spin-singlet quarkonium: Different flavor case
• Fragmentation of fully heavy tetraquarks: The TQ4Q1.1 functions as a case study
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• Color-octet contributions for $J/\psi$ inclusive production at B factories in soft gluon factorization
• Resummation and renormalization of kinematical effects in inclusive $P$-wave quarkonium production
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• Gluon fragmentation into ${}^3{P}_J^{[1,8]}$ quark pair and test of NRQCD factorization at two-loop level
• Relativistic effect of $J/\psi$ hadroproduction in large $p_T$ region
• Resummation of threshold double logarithms in quarkonium fragmentation functions