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 a 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.
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Sborlini, G.F., Driencourt-Mangin, F. & Rodrigo, G. Four-dimensional unsubtraction with massive particles. J. High Energ. Phys. 2016, 162 (2016). https://doi.org/10.1007/JHEP10(2016)162
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DOI: https://doi.org/10.1007/JHEP10(2016)162