TY - JOUR AU - Driencourt-Mangin, F. AU - Rodrigo, G. AU - Sborlini, G. F. R. AU - Torres Bobadilla, W. J. PY - 2019 DA - 2019// TI - Universal four-dimensional representation of H -> gamma gamma at two loops through the Loop-Tree Duality T2 - J. High Energy Phys. JO - Journal of High Energy Physics SP - 143 EP - 39pp VL - 02 IS - 2 PB - Springer KW - Scattering Amplitudes KW - Higgs Physics KW - Perturbative QCD AB - We extend useful properties of the H unintegrated dual amplitudes from one- to two-loop level, using the Loop-Tree Duality formalism. In particular, we show that the universality of the functional form regardless of the nature of the internal particle still holds at this order. We also present an algorithmic way to renormalise two-loop amplitudes, by locally cancelling the ultraviolet singularities at integrand level, thus allowing a full four-dimensional numerical implementation of the method. Our results are compared with analytic expressions already available in the literature, finding a perfect numerical agreement. The success of this computation plays a crucial role for the development of a fully local four-dimensional framework to compute physical observables at Next-to-Next-to Leading order and beyond. SN - 1029-8479 UR - https://arxiv.org/abs/1901.09853 UR - https://doi.org/10.1007/JHEP02(2019)143 DO - 10.1007/JHEP02(2019)143 LA - English N1 - WOS:000459485300005 ID - Driencourt-Mangin_etal2019 ER -