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• W2081604147 abstract "A QCD factorization formalism was recently proposed for evaluating heavy quarkonium production at large ${p}_{T}$ at collider energies. With systematically calculated short-distance partonic hard parts and evolution kernels of fragmentation functions (FFs), the predictive power of this factorization approach relies on our knowledge of a large number of universal FFs at an input factorization scale ${ensuremath{mu}}_{0}ensuremath{gtrsim}2{m}_{Q}$ with heavy quark mass ${m}_{Q}$. With the large heavy quark mass, the relative motion of the heavy quark pair inside a heavy quarkonium is effectively nonrelativistic. We evaluate these universal input FFs using nonrelativistic QCD (NRQCD) factorization and express the large number of FFs in terms of a few universal NRQCD long-distance matrix elements with perturbatively calculated coefficients. We derive complete contributions to the single-parton FFs at both $mathcal{O}({ensuremath{alpha}}_{s})$ and $mathcal{O}({ensuremath{alpha}}_{s}^{2})$ and the heavy quark-pair FFs at $mathcal{O}({ensuremath{alpha}}_{s})$. We present detailed derivation for all contributions involving long-distance matrix elements of $S$-wave NRQCD $Qoverline{Q}$ states ($P$-wave contributions in a companion paper, Y.-Q. Ma, J.-W. Qiu, and H. Zhang, arXiv:1401.0524 [Phys. Rev. D (to be published)]). Our results bridge the gap between the QCD factorization formalism and its phenomenological applications." @default.
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• W2081604147 date "2014-05-29" @default.
• W2081604147 modified "2023-10-17" @default.
• W2081604147 title "Heavy quarkonium fragmentation functions from a heavy quark pair. I.<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mi>S</mml:mi></mml:math>wave" @default.
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• W2081604147 doi "https://doi.org/10.1103/physrevd.89.094029" @default.
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