Infrared singularities of QCD amplitudes with massive partons

Details Infrared singularities of QCD amplitudes with massive partons Infrared singularities of QCD amplitudes with massive partons

2009-04-07

arxiv.org/abs/0904.1021v3

Phys.Rev.D79:125004,2009; Erratum-ibid.D80:109901,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

7 pages, 1 figure; v2: minor changes, reference added; v3: note added, correcting some statements regarding F1 and f2 in light

Scientific paper

10.1103/PhysRevD.79.125004

A formula for the two-loop infrared singularities of dimensionally regularized QCD scattering amplitudes with an arbitrary number of massive and massless legs is derived. The singularities are obtained from the solution of a renormalization-group equation, and factorization constraints on the relevant anomalous-dimension matrix are analyzed. The simplicity of the structure of the matrix relevant for massless partons does not carry over to the case with massive legs, where starting at two-loop order new color and momentum structures arise, which are not of the color-dipole form. The resulting two-loop three-parton correlations can be expressed in terms of two functions, for which some general properties are derived. This explains observations recently made by Mitov et al. in terms of symmetry arguments.

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