Ancillary files for "Toward multiloop local renormalization within causal loop-tree duality"
Year: 2024
Type: preprint
Abstract: Renormalization is a well-known technique to get rid of ultraviolet (UV) singularities. When relying on Dimensional Regularization (DREG), these become manifest as $ε$-poles, allowing to define counter-terms with useful recursive properties. However, this procedure requires to work at \emph{integral-level} and poses difficulties to achieve a smooth combination with semi-numerical approaches. This article is devoted to the development of an integrand-level renormalization formalism, better suited for semi or fully numerical calculations. Starting from the Loop-Tree Duality (LTD), we keep the causal representations of the integrands of multiloop Feynman diagrams and explore their UV behaviour. Then, we propose a strategy that allows to build local counter-terms, capable of rendering the expressions integrable in the high-energy limit and in four space-time dimensions. Our procedure was tested on diagrams up to three-loops, and we found a remarkably smooth cancellation of divergences. The results of this work constitute a powerful step towards a fully local renormalization framework in QFT.
Source: arXiv (Cornell University)
Authors: Rios-Sanchez, Jose, Sborlini, German
Institutions: Universidad de Salamanca, Universidad Europea de Valencia
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
Awards: G1175115578, G1422035950, G2215508199, G2262748287, G300979063, G3111662533, G3142173218, G3220251042, G3345895242, G34346518, The strong interaction at the frontier of knowledge: fundamental research and applications, G3480869486, G3738690575, G3857581125, G425668148, G4304148808, G5080475149, G5175525644, G632107855, G640907836, G6815810059, G683931746, G7451223319, G7550557989, G792975244, G8202366302, University of Salamanca Programme to Foster Research Excellence, G8404905901, G8657893973, G8684520763
OpenAlex ID: W4392118333