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

2021; Springer Nature; Volume: 2021; Issue: 5 Linguagem: Inglês

10.1007/jhep05(2021)256

1127-2236

Bakul Agarwal, Stephen Jones, Andreas von Manteuffel,

High-Energy Particle Collisions Research

A bstract 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.