Theoretical predictions to differential cross sections and decay rates from the loop-tree duality

TL;DR

This paper explores the loop-tree duality method in quantum field theory to achieve local cancellation of singularities at the integrand level, improving the accuracy and efficiency of high-energy collider predictions.

Contribution

It introduces applications of the causal properties of vacuum amplitudes within the loop-tree duality framework for higher-order physical process calculations.

Findings

Successful local cancellation of singularities demonstrated

Enhanced computational efficiency in perturbative calculations

Potential for improved automation of collider observable predictions

Abstract

Understanding the cancellation of ultraviolet and infrared singularities in perturbative quantum field theory is of central importance for the development and automation of various theoretical tools that make accurate predictions for observables at high-energy colliders. The loop-tree duality aims to find an efficient solution by treating loop and tree-level contributions under the same foot to achieve a local cancellation of singularities at the integrand level, and thus avoiding dimensional regularisation. In this talk, we exploit the causal properties of vacuum amplitudes in the loop-tree duality representation to present different applications to physical processes at higher orders.