Higher-orders in heavy quark processes within the LTD approach

TL;DR

This paper introduces a novel method based on the loop-tree duality theorem for calculating higher-order QCD corrections involving heavy quarks, simplifying computations by avoiding complex integrals and counter-terms.

Contribution

The paper presents a new approach using the LTD theorem to compute higher-order heavy quark processes without traditional subtraction methods.

Findings

Method successfully combines real and virtual contributions at the integrand level.

Avoids complicated massive Feynman integrals and infrared counter-terms.

Demonstrates potential with reference examples.

Abstract

The computation of perturbative corrections to processes involving heavy quarks is crucial for the precision program of the LHC and future colliders. In this article, we describe a powerful approach to calculate higher-orders in QCD skipping the traditional subtraction method. Our proposal is based on the loop-tree duality (LTD) theorem, which allows to rewrite virtual contributions in terms of integrals over the real emission phase-space. Then, we proceed to combine both real and virtual contributions at the integrand level, obtaining regular expressions that can be numerically integrated in four space-time dimensions. In this way, we avoid dealing with complicated massive Feynman integrals and introducing infrared counter-terms. Some reference examples are explained, in order to exhibit the potential of our method.