Infrared Singularities and Soft Gluon Resummation with Massive Partons

Details Infrared Singularities and Soft Gluon Resummation with Massive Partons Infrared Singularities and Soft Gluon Resummation with Massive Partons

2010-06-24

arxiv.org/abs/1006.4680v1

Nucl.Phys.Proc.Suppl.205-206:98-103,2010

Physics

High Energy Physics

High Energy Physics - Phenomenology

Talk presented at Loops and Legs in Quantum Field Theory 2010, Woerlitz, Germany, April 25-30, 2010

Scientific paper

10.1016/j.nuclphysbps.2010.08.02

Infrared divergences of QCD scattering amplitudes can be derived from an anomalous dimension matrix, which is also an essential ingredient for the resummation of large logarithms due to soft gluon emissions. We report a recent analytical calculation of the anomalous dimension matrix with both massless and massive partons at two-loop level, which describes the two-loop infrared singularities of any scattering amplitudes with an arbitrary number of massless and massive partons, and also enables soft gluon resummation at next-to-next-to-leading-logarithmic order. As an application, we calculate the infrared poles in the q qbar -> t tbar and gg -> t tbar scattering amplitudes at two-loop order.

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