Work

Loop Tree Duality with generalized propagator powers: numerical UV subtraction for two-loop Feynman Integrals

Year: 2024

Type: conference-paper

Abstract: An explicit Loop Tree Duality (LTD) formula for two-loop Feynman integrals with integer power of propagators is presented and used for a numerical UV divergence subtraction algorithm. This algorithm proceeds recursively and it is based on the $\mathcal{R}$ operator and the Hopf algebraic structure of UV divergences. After a short review of LTD and the numerical evaluation of multi-loop integrals, LTD is extended to two-loop integrals with generalized powers of propagators. The $\mathcal{R}$ operator and the tadpole UV subtraction are employed for the numerical calculation of two-loop UV divergent integrals, including the case of quadratic divergences.

Source: Loops and Legs in Quantum Field Theory (LL)

DOI: 10.22323/1.467.0025

Author: Daniele Artico

Institution: Humboldt-Universität zu Berlin

Language: English

Topic: Particle physics theoretical and experimental studies

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Funder: Deutsche Forschungsgemeinschaft

Award: GRK 2575: Überdenken der Quantenfeldtheorie