Abstract
The Loop-Tree Duality (LTD) theorem is an innovative technique to deal with multi-loop scattering amplitudes, leading to integrand-level representations over a Euclidean space. In this article, we review the last developments concerning this framework, focusing on the manifestly causal representation of multi-loop Feynman integrals and scattering amplitudes, and the definition of dual local counter-terms to cancel infrared singularities.
Highlights
Adam Kardos and GiuseppeThe most successful description of the microscopic structure of Nature is currently given by the Standard Model (SM), which is based on quantum field theories (QFT) with specific gauge symmetries
In Ref. [92], we presented for the first time a manifestly causal integrand-level representation inspired by the Loop-Tree Duality (LTD) theorem
The solid lines correspond to the results obtained within the LTD formalism, the dots are the numerical results obtained with F IESTA 4.2
Summary
José de Jesús Aguilera-Verdugo 1 , Félix Driencourt-Mangin 1 , Roger José Hernández-Pinto 2, * , Judith Plenter 1 , Renato Maria Prisco 3 , Norma Selomit Ramírez-Uribe 1,2,4 , Andrés Ernesto Rentería-Olivo 1 , Germán Rodrigo 1 , German Sborlini 1,5, * , William Javier Torres Bobadilla 6 and Francesco Tramontano 3. Facultad de Ciencias de la Tierra y el Espacio, Universidad Autónoma de Sinaloa, Ciudad Universitaria, Deutsches Elektronen-Synchrotron, DESY, Platanenallee 6, D-15738 Zeuthen, Germany
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