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Semi-analytical calculation of gluon fragmentation into {¹hspace{-0.6mm}S₀^([1,8])} quarkonia at next-to-leading order

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arxiv 1810.07656 v1 pith:2HIXODMP submitted 2018-10-17 hep-ph

Semi-analytical calculation of gluon fragmentation into ${^{1}\hspace{-0.6mm}S_{0}^{[1,8]}}$ quarkonia at next-to-leading order

Peng Zhang , Chen-Yu Wang , Xiao Liu , Yan-Qing Ma , Ce Meng , Kuang-Ta Chao This is my paper
classification hep-ph
keywords correctionshspacedifferentialequationsfragmentationgluonheavypair
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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abstract

We calculate the NLO corrections for the gluon fragmentation functions to a heavy quark-antiquark pair in ${^{1}\hspace{-0.6mm}S_{0}^{[1]}}$ or ${^{1}\hspace{-0.6mm}S_{0}^{[8]}}$ state within NRQCD factorization. We use integration-by-parts reduction to reduce the original expression to simpler master integrals (MIs), and then set up differential equations for these MIs. After calculating the boundary conditions, MIs can be obtained by solving the differential equations numerically. Our results are expressed in terms of asymptotic expansions at singular points of $z$ (light-cone momentum fraction carried by the quark-antiquark pair), which can not only give FFs results with very high precision at any value of $z$, but also provide fully analytical structure at these singularities. We find that the NLO corrections are significant, with K-factors larger than 2 in most regions. The NLO corrections may have important impact on heavy quarkonia (e.g. $\eta_c$ and $J/\psi$) production at the LHC.

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Cited by 4 Pith papers

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    hep-ph 2026-06 conditional novelty 7.5

    First NNLO QCD short-distance coefficients for the ³S₁⁽⁸⁾ gluon fragmentation function are obtained numerically to high precision, with analytic endpoint logarithms reconstructed for threshold resummation.

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  4. Toward Precision Fragmentation of $\Omega_{3Q}$ Baryons: The OMG3Q1.1 Framework

    hep-ph 2026-06 unverdicted novelty 5.0

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