Four-dimensional unsubtraction with massive particles

Abstract

We extend the four-dimensional unsubtraction method, which is based on the loop-tree duality (LTD), to deal with processes involving heavy particles. The method allows to perform the summation over degenerate IR configurations directly at integrand level in such a way that NLO corrections can be implemented directly in four space-time dimensions. We define a general momentum mapping between the real and virtual kinematics that accounts properly for the quasi-collinear configurations, and leads to an smooth massless limit. We illustrate the method first with an scalar toy example, and then analyse the case of the decay of a scalar or vector boson into a pair of massive quarks. The results presented in this paper are suitable for the application of the method to any multipartonic process.

31 pages, 9 figures

References in corpus (13)

• An NNLO subtraction formalism in hadron collisions and its application to Higgs boson production at the LHC
• Vector boson production at hadron colliders: a fully exclusive QCD calculation at NNLO
• A novel subtraction scheme for double-real radiation at NNLO
• From loops to trees by-passing Feynman's theorem
• A Tree-Loop Duality Relation at Two Loops and Beyond
• Numerical NLO QCD calculations
• NLO Antenna Subtraction with Massive Fermions
• A subtraction scheme for computing QCD jet cross sections at NNLO: integrating the iterated singly-unresolved subtraction terms
• A four-dimensional approach to quantum field theories
• On the singular behaviour of scattering amplitudes in quantum field theory
• NNLO QCD subtraction for top-antitop production in the $q\bar{q}$ channel
• From multileg loops to trees (by-passing Feynman's Tree Theorem)
• Tree-Loop Duality Relation beyond simple poles

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