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

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

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
• Electronic ISSN: 1029-8479
• 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
• Public URL: https://durham-repository.worktribe.com/output/1243464