Infrared singularities of multi-leg QCD amplitudes with a massive parton at three loops

Abstract

We derive the structure of three-loop anomalous dimensions governing infrared singularities of QCD amplitudes with one massive and an arbitrary number of massless external partons. The contributions of tripole and quadrupole correlations involving a massive parton are studied in details. The analytical expression of tripole correlations between one massive and two massless partons is obtained at three loops for the first time. We regularize the infrared divergences in the soft matrix element in a novel approach, where no extra scale dependence is involved, and the calculation can be performed in momentum space. Our results are essential to improve the theoretical predictions of single top and top quark pair productions at hadron colliders.

6+3 pages, 1 figure; v2: version accepted by PRL

References in corpus (23)

• Two-loop soft anomalous dimensions for single top quark associated production with a W- or H-
• Next-to-next-to-leading-order collinear and soft gluon corrections for t-channel single top quark production
• Algorithms for the symbolic integration of hyperlogarithms with applications to Feynman integrals
• Factorization constraints for soft anomalous dimensions in QCD scattering amplitudes
• Quark and gluon form factors to three loops
• The Two-loop Soft Anomalous Dimension Matrix and Resummation at Next-to-next-to Leading Pole
• Two-loop soft anomalous dimensions and NNLL resummation for heavy quark production
• Threshold Resummation for Top-Pair Hadroproduction to Next-to-Next-to-Leading Log
• Four-Loop Non-Singlet Splitting Functions in the Planar Limit and Beyond
• Two-loop QED corrections to Bhabha scattering
• Large-nf Contributions to the Four-Loop Splitting Functions in QCD
• Webs in multiparton scattering using the replica trick
• The three-loop cusp anomalous dimension in QCD
• Bootstrapping the QCD soft anomalous dimension
• The Massive Soft Anomalous Dimension Matrix at Two Loops
• Matter dependence of the four-loop cusp anomalous dimension
• The $n_f^2$ contributions to fermionic four-loop form factors
• Four-loop quark form factor with quartic fundamental colour factor
• Matter Dependence of the Three-Loop Soft Anomalous Dimension Matrix
• Computation of the Soft Anomalous Dimension Matrix in Coordinate Space
• Matter dependence of the four-loop QCD cusp anomalous dimension: from small angles to all angles
• NNLL resummation for the associated production of a top pair and a Higgs boson at the LHC
• Quark and gluon form factors in four loop QCD: the $N_f^2$ and $N_{q\gamma }{N}_f$ contributions