Infrared Singularities and Soft Gluon Resummation with Massive Partons
Abstract
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.
Cite
@article{arxiv.1006.4680,
title = {Infrared Singularities and Soft Gluon Resummation with Massive Partons},
author = {A. Ferroglia and M. Neubert and B. D. Pecjak and L. L. Yang},
journal= {arXiv preprint arXiv:1006.4680},
year = {2010}
}
Comments
Talk presented at Loops and Legs in Quantum Field Theory 2010, Woerlitz, Germany, April 25-30, 2010