English

Towards numerical two-loop integrand reduction

High Energy Physics - Phenomenology 2025-11-14 v3 High Energy Physics - Theory

Abstract

We present a method for the integrand-level reduction of two-loop helicity amplitudes in both d=42ϵd=4-2\epsilon and d=4d=4 dimensions. The amplitude is expressed in terms of a set of Feynman integrals and their coefficients that depend on the external kinematics. The analysis presented in this paper, in conjunction with the ongoing development of the computational framework HELAC-2LOOP\text{HELAC-2LOOP}, paves the road for the construction of an automated program for two-loop amplitude calculations for arbitrary scattering processes.

Keywords

Cite

@article{arxiv.2506.07231,
  title  = {Towards numerical two-loop integrand reduction},
  author = {Giuseppe Bevilacqua and Dhimiter Canko and Costas Papadopoulos and Aris Spourdalakis},
  journal= {arXiv preprint arXiv:2506.07231},
  year   = {2025}
}

Comments

38 pages, 15 tables, 8 figures, accepted for publication in JHEP