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

Agarwal, Bakul; Jones, Stephen P.; von Manteuffel, Andreas

doi:10.1007/jhep05(2021)256

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

Agarwal, Bakul; Jones, Stephen P.; von Manteuffel, Andreas

Authors

Bakul Agarwal

Dr Stephen Jones stephen.jones@durham.ac.uk
Assistant Professor

Andreas von Manteuffel

Abstract

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.

Citation

Agarwal, B., Jones, S. P., & von Manteuffel, A. (2021). Two-loop helicity amplitudes for gg → ZZ with full top-quark mass effects. Journal of High Energy Physics, 2021(5), Article 256. https://doi.org/10.1007/jhep05%282021%29256

Journal Article Type	Article
Acceptance Date	May 14, 2021
Online Publication Date	May 27, 2021
Publication Date	2021
Deposit Date	Aug 5, 2021
Publicly Available Date	Aug 5, 2021
Journal	Journal of High Energy Physics
Print ISSN	1126-6708
Publisher	Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed	Peer Reviewed
Volume	2021
Issue	5
Article Number	256
DOI	https://doi.org/10.1007/jhep05%282021%29256

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