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<p>We present a method for the integrand-level reduction of two-loop helicity amplitudes in both <i>d</i> = 4 – 2<i>ϵ</i> and <i>d</i> = 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, paves the road for the construction of an automated program for two-loop amplitude calculations for arbitrary scattering processes.</p>

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Towards numerical two-loop integrand reduction

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年11月13日

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  • Giuseppe Bevilacqua,
  • Dhimiter Canko,
  • Costas G. Papadopoulos,
  • Aris Spourdalakis

摘要

We present a method for the integrand-level reduction of two-loop helicity amplitudes in both d = 4 – 2ϵ and d = 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, paves the road for the construction of an automated program for two-loop amplitude calculations for arbitrary scattering processes.