Perturbative Heavy Quark Fragmentation Function through O(alpha_s^2)

Details Perturbative Heavy Quark Fragmentation Function through O(alpha_s^2) Perturbative Heavy Quark Fragmentation Function through O(alpha_s^2)

2004-04-17

arxiv.org/abs/hep-ph/0404143v2

Phys.Rev. D70 (2004) 034027

Physics

High Energy Physics

High Energy Physics - Phenomenology

14 pages, uses axodraw.sty; minor clarifications in the text; Fig(1,2) corrected; references added

Scientific paper

10.1103/PhysRevD.70.034027

We derive the initial condition for the perturbative fragmentation function of a heavy quark through order O(alpha_s^2) in the MS-bar scheme. This initial condition is useful for computing heavy quark (or lepton, in case of QED) energy distributions from calculations with massless partons. In addition, the initial condition at O(alpha_s^2) can be used to resum collinear logarithms ln(Q^2/m^2) in heavy quark energy spectrum with next-to-next-to-leading logarithmic accuracy by solving the DGLAP equation.

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