PT Journal
AU Driencourt-Mangin, F
   Rodrigo, G
   Sborlini, GFR
   Torres Bobadilla, WJ
TI Universal four-dimensional representation of H -> gamma gamma at two loops through the Loop-Tree Duality
SO Journal of High Energy Physics
JI J. High Energy Phys.
PY 2019
BP 143
EP 39pp
VL 02
IS 2
DI 10.1007/JHEP02(2019)143
LA English
DE Scattering Amplitudes; Higgs Physics; 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.
ER