TY  - JOUR
AU  - Sborlini, G. F. R.
AU  - Driencourt-Mangin, F.
AU  - Hernandez-Pinto, R. J.
AU  - Rodrigo, G.
PY  - 2016
DA  - 2016//
TI  - Four-dimensional unsubtraction from the loop-tree duality
T2  - J. High Energy Phys.
JO  - Journal of High Energy Physics
SP  - 160
EP  - 42pp
VL  - 08
IS  - 8
PB  - Springer
KW  - NLO Computations
AB  - We present a new algorithm to construct a purely four dimensional representation of higher-order perturbative corrections to physical cross-sections at next-to-leading order (NLO). The algorithm is based on the loop-tree duality (LTD), and it is implemented by introducing a suitable mapping between the external and loop momenta of the virtual scattering amplitudes, and the external momenta of the real emission corrections. In this way, the sum over degenerate infrared states is performed at integrand level and the cancellation of infrared divergences occurs locally without introducing subtraction counter-terms to deal with soft and final-state collinear singularities. The dual representation of ultraviolet counter-terms is also discussed in detail, in particular for self-energy contributions. The method is first illustrated with the scalar three-point function, before proceeding with the calculation of the physical cross-section for gamma* -> q (q) over bar (g), and its generalisation to multi-leg processes. The extension to next-to-next-to-leading order (NNLO) is briefly commented.
SN  - 1029-8479
UR  - http://arxiv.org/abs/1604.06699
UR  - https://doi.org/10.1007/JHEP08(2016)160
DO  - 10.1007/JHEP08(2016)160
LA  - English
N1  - WOS:000382685100001
ID  - Sborlini_etal2016
ER  -