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Perturbative Heavy Quark Fragmentation Function through O(\alpha_s^2): Gluon Initiated Contribution

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arxiv hep-ph/0410205 v2 pith:WFRO3JPK submitted 2004-10-14 hep-ph

Alexander Mitov This is my paper · ORCID
classification hep-ph
keywords fragmentationfunctionheavyinitiatedperturbativequarkalphacondition
verification ladder T0 review T1 audit T2 compute T3 formal
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We derive the gluon initiated contribution to the initial condition for the perturbative fragmentation function of a heavy quark through order O(\alpha_s^2) in the MS-bar scheme. This result is needed for the resummation with next-to-next-to-leading logarithmic accuracy of quasi-collinear logarithms ln^k(m^2) in heavy quark differential distributions by solving the complete DGLAP equation. Together with the previously evaluated fermion initiated components, this result completes the derivation of the initial condition for the perturbative fragmentation function at next-to-next-to-leading order.

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Forward citations

Cited by 5 Pith papers

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