2019/01/28 by Félix Driencourt-Mangin, Felix Driencourt-Mangin, German Rodrigo +4 · 50 citations
Mathematics · Physics and Astronomy · #Algorithm #Amplitude #Black Holes and Theoretical Physics #Combinatorics #Computation #Duality (order theory) #Formalism (music) #Gravitational singularity #Loop (graph theory) #Mathematical analysis #Mathematics #Observable #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Universality (dynamical systems) #hep-ph #hep-th
paper · pdf · doi:10.1007/jhep02(2019)143
published in Journal of High Energy Physics 2019(2) (Springer Nature) · 32 pages, 5 figures
arxiv created 2019/01/28 · openalex publication_date 2019/02/01 · openalex created_date 2019/03/02 · arxiv updated 2019/03/27 · openalex updated_date 2026/08/05
A bstract We extend useful properties of the H → γγ 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.