Four-dimensional regularization of higher-order computations: FDU approach
G. Sborlini*,
F. Driencourt-Mangin,
R.J. Hernández-Pinto and
G. Rodrigo*: corresponding author
Pre-published on:
October 26, 2017
Published on:
March 20, 2018
Abstract
We have recently proposed a new regularization framework based on the loop-tree duality theorem. This theorem allows to rewrite loop level amplitudes in terms of tree-level structures and phase-space integrations. In consequence, it is possible to combine naturally real and virtual contributions at integrand level. Moreover, through the introduction of a proper momentum-mapping, a complete local cancellation of infrared singularities is achieved, by-passing the necessity of counter-terms. In this article, we briefly explain the implementation of this novel approach to compute some physical processes, and we show how to deal with both infrared and ultraviolet divergences without using DREG.
DOI: https://doi.org/10.22323/1.314.0547
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