6533b839fe1ef96bd12a6746

RESEARCH PRODUCT

Infrared Singularities and Soft Gluon Resummation with Massive Partons

Andrea FerrogliaAndrea FerrogliaLi Lin YangMatthias NeubertMatthias NeubertBen D. Pecjak

subject

Quantum chromodynamicsPhysicsNuclear and High Energy PhysicsParticle physicsHigh Energy Physics::PhenomenologyFOS: Physical sciencesPartonAtomic and Molecular Physics and OpticsGluonScattering amplitudeMassless particleMatrix (mathematics)High Energy Physics - PhenomenologyHigh Energy Physics - Phenomenology (hep-ph)Gravitational singularityHigh Energy Physics::ExperimentResummationAstrophysics::Galaxy Astrophysics

description

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.

10.1016/j.nuclphysbps.2010.08.026http://arxiv.org/abs/1006.4680