Heavy quarkonium fragmentation functions from a heavy quark pair. II. $P$ wave

Recently, a new perturbative QCD factorization formalism for heavy quarkonium production at a large transverse momentum was proposed. The phenomenological application of this new approach relies on our knowledge of a large number of universal fragmentation functions (FFs) at an input factorization scale μ0≳2mQ with heavy quark mass mQ, which are nonperturbative, and in principle, should be extracted from data. With heavy quark mass mQ≫ΛQCD, we calculate these input FFs in terms of nonrelativistic QCD (NRQCD) factorization. We derive contributions to these input FFs through all S-wave NRQCD QQ¯ states in a companion paper [Y. -Q. Ma, J. -W. Qiu, and H. Zhang, arXiv:1311.7078 [Phys. Rev. D (to be published)]]. In this paper, we calculate the contributions to the heavy quark-pair FFs from all P-wave NRQCD QQ¯ states.

Note:

38 pages, 3 figures, typos corrected, references added, version accepted by Journal

12.38.Bx
12.39.St
13.87.Fh
14.40.Pq
quarkonium: heavy
quarkonium: production
heavy quark: mass
heavy quark: fragmentation function
quantum chromodynamics: factorization
quantum chromodynamics: nonrelativistic

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Figures(10)

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,
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)

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•
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