Perturbative Heavy Quark Fragmentation Function through O(αs2): Gluon Initiated Contribution
Alexander Mitov
Abstract
We derive the gluon initiated contribution to the initial condition for the perturbative fragmentation function of a heavy quark through order O(αs2) in the MS-bar scheme. This result is needed for the resummation with next-to-next-to-leading logarithmic accuracy of quasi-collinear logarithms lnk(m2) 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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