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Two-loop helicity amplitudes for gg → ZZ with full top-quark mass effects

Agarwal, Bakul and Jones, Stephen P. and von Manteuffel, Andreas (2021) 'Two-loop helicity amplitudes for gg → ZZ with full top-quark mass effects.', Journal of High Energy Physics, 2021 (5). p. 256.


We calculate the two-loop QCD corrections to gg → ZZ involving a closed top-quark loop. We present a new method to systematically construct linear combinations of Feynman integrals with a convergent parametric representation, where we also allow for irreducible numerators, higher powers of propagators, dimensionally shifted integrals, and subsector integrals. The amplitude is expressed in terms of such finite integrals by employing syzygies derived with linear algebra and finite field techniques. Evaluating the amplitude using numerical integration, we find agreement with previous expansions in asymptotic limits and provide ab initio results also for intermediate partonic energies and non-central scattering at higher energies.

Item Type:Article
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Publisher statement:This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Date accepted:14 May 2021
Date deposited:05 August 2021
Date of first online publication:27 May 2021
Date first made open access:05 August 2021

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