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

Details Perturbative Heavy Quark Fragmentation Function through O(α_s^2): Gluon Initiated Contribution Perturbative Heavy Quark Fragmentation Function through O(α_s^2): Gluon Initiated Contribution

2004-10-14

arxiv.org/abs/hep-ph/0410205v2

Phys.Rev. D71 (2005) 054021

Physics

High Energy Physics

High Energy Physics - Phenomenology

8 pages, 1 figure; minor clarifications in the text; references added

Scientific paper

10.1103/PhysRevD.71.054021

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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