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NRQCD Factorization for Twist-2 Light-Cone Wave-Functions of Charmonia

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arxiv hep-ph/0608221 v1 pith:5ROKR6ML submitted 2006-08-20 hep-ph

classification hep-ph
keywords nrqcdlight-conetwist-2wave-functionsfactorizationfactorizedfunctionlevel
verification ladder T0 review T1 audit T2 compute T3 formal
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We show that the twist-2 light-cone wave-functions of eta_c and J/\psi can be factorized with nonrelativistic QCD(NRQCD) at one-loop level, where the nonperturbative effects are represented by NRQCD matrix elements. The factorization is achieved by expanding the small velocity v, which the c- or \bar c- quark moves inside a rest quarkonium with. At leading order of v the twist-2 light-cone wave-functions of eta_c and J/\psi can be factorized as the product of a perturbative function and a NRQCD matrix element. The perturbative function is calculated at one-loop level and free from any soft divergence. Our results can be used for the production of J/\psi\eta_c through e^+e^- -annihilation and of a charmonium in B-decays, which are studied in experiment of two B-factories.

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  1. Rare $W \to B_c + \gamma$ decay up to the NNLO and NLL accuracy in QCD

    hep-ph 2025-02 conditional novelty 6.0 of 10

    The rare decay W to Bc plus photon gets NNLO QCD corrections that reduce the width by 31 percent, giving a branching fraction of 1.522 times 10 to the minus 10 after NLL resummation.

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