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arXiv · 1609.02454

NLO cross sections in 4 dimensions without DREG

R. J. Hernández-Pinto·F. Driencourt-Mangin·G. Rodrigo·G. F. R. Sborlini
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Abstract

In this review, we present a new method for computing physical cross sections at NLO accuracy in QCD without using the standard Dimensional Regularisation. The algorithm is based on the Loop-Tree Duality theorem, which allow us to obtain loop integrals as a sum of phase-space integrals; in this way, transforming loop integrals into phase-space integrals, we propose a method to merge virtual and real contributions in order to find observables at NLO in $d=4$ space-time dimensions. In addition, the strategy described is used for computing the $\gamma^*\to q\bar{q}(g)$ process. A more detailed discussion related on this topic can be found in Ref [1].

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R. J. Hernández-Pinto, F. Driencourt-Mangin, G. Rodrigo, G. F. R. Sborlini. 2016-09-08. NLO cross sections in 4 dimensions without DREG. https://doi.org/10.1088/1742-6596/761/1/012021

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