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arXiv · 1510.01079

From dimensional regularization to NLO computations in four dimensions

German F. R. Sborlini·Roger Hernandez-Pinto·German Rodrigo
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Abstract

Loop-tree duality (LTD) allows to express virtual contributions in terms of phase-space integrals, thus leading to a direct mapping with real radiation terms. We review the basis of the method and describe its application to regularize Feynman integrals. Performing an integrand-level combination of real and virtual terms, we show how to recover physical results by simply taking the four-dimensional limit of $d$-dimensional expressions. Moreover, this method provides a natural physical interpretation of infrared singularities, their origin and the way that they cancel in the complete computation.

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German F. R. Sborlini, Roger Hernandez-Pinto, German Rodrigo. 2015-10-05. From dimensional regularization to NLO computations in four dimensions. https://arxiv.org/abs/1510.01079

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