Numerical integration of subtraction terms

Numerical approaches to higher-order calculations often employ subtraction terms, both for the real emission and the virtual corrections. These sub traction terms have to be added back. In this paper we show that at NLO the real subtraction terms, the virtual subtraction terms, the integral representations of the field renormalis ation constants and ‐ in the case of initial-state partons ‐ the integral representation for th e collinear counterterm can be grouped together to give finite integrals, which can be evaluated num erically. This is useful for an extension towards NNLO.

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