Infrared Singularities and Soft Gluon Resummation with Massive Partons
arXiv:1006.4680 · doi:10.1016/j.nuclphysbps.2010.08.026
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.
Talk presented at Loops and Legs in Quantum Field Theory 2010, Woerlitz, Germany, April 25-30, 2010
References in corpus (32)
- An effective field theory for collinear and soft gluons: heavy to light decays
- Heavy Quark Symmetry
- Soft-Collinear Factorization in Effective Field Theory
- The Singular Behaviour of QCD Amplitudes at Two-loop Order
- Soft-collinear effective theory and heavy-to-light currents beyond leading power
- The Dipole Formalism for the Calculation of QCD Jet Cross Sections at Next-to-Leading Order
- On the Structure of Infrared Singularities of Gauge-Theory Amplitudes
- Infrared singularities of scattering amplitudes in perturbative QCD
- Multi-loop Amplitudes and Resummation
- Factorization constraints for soft anomalous dimensions in QCD scattering amplitudes
- The Two-loop Soft Anomalous Dimension Matrix and Resummation at Next-to-next-to Leading Pole
- Three-Loop Results for Quark and Gluon Form Factors
- One-loop Singular Behaviour of QCD and SUSY QCD Amplitudes with Massive Partons
- Infrared singularities of QCD amplitudes with massive partons
- The Two-loop Anomalous Dimension Matrix for Soft Gluon Exchange
- Two-loop divergences of massive scattering amplitudes in non-abelian gauge theories
- Tops from Light Quarks: Full Mass Dependence at Two-Loops in QCD
- Two-loop soft anomalous dimensions and NNLL resummation for heavy quark production
- Two-loop divergences of scattering amplitudes with massive partons
- The singular behavior of massive QCD amplitudes
- Two-loop QED corrections to Bhabha scattering
- Renormalization-Group Improved Calculation of the B->Xs+gamma Branching Ratio
- Heavy-quark production in gluon fusion at two loops in QCD
- Two-Loop Fermionic Corrections to Heavy-Quark Pair Production: the Quark-Antiquark Channel
- On soft singularities at three loops and beyond
- Heavy-quark production in massless quark scattering at two loops in QCD
- The Massive Soft Anomalous Dimension Matrix at Two Loops
- Two-Loop Planar Corrections to Heavy-Quark Pair Production in the Quark-Antiquark Channel
- Computation of the Soft Anomalous Dimension Matrix in Coordinate Space
- Threshold expansion at order alpha_s^4 for the t-tbar invariant mass distribution at hadron colliders
- Factorization of Hard Processes in QCD
- tops at NLO and NNLO
Cited by in corpus (8)
- Webs in multiparton scattering using the replica trick
- The Non-Abelian Exponentiation theorem for multiple Wilson lines
- Two-Loop Leading Color Corrections to Heavy-Quark Pair Production in the Gluon Fusion Channel
- On the renormalization of multiparton webs
- General properties of multiparton webs: proofs from combinatorics
- From Webs to Polylogarithms
- Multiple Gluon Exchange Webs
- Progress on soft gluon exponentiation and long-distance singularities