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Agarwal, Bakul; Jones, Stephen P.; von Manteuffel, Andreas (, Journal of High Energy Physics)null (Ed.)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.more » « less
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Agarwal, Bakul; Buccioni, Federico; von Manteuffel, Andreas; Tancredi, Lorenzo (, Journal of High Energy Physics)null (Ed.)A bstract We present the leading colour and light fermionic planar two-loop corrections for the production of two photons and a jet in the quark-antiquark and quark-gluon channels. In particular, we compute the interference of the two-loop amplitudes with the corresponding tree level ones, summed over colours and polarisations. Our calculation uses the latest advancements in the algorithms for integration-by-parts reduction and multivariate partial fraction decomposition to produce compact and easy-to-use results. We have implemented our results in an efficient C++ numerical code. We also provide their analytic expressions in Mathematica format.more » « less
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Agarwal, Bakul; von Manteuffel, Andreas; Panzer, Erik; Schabinger, Robert M. (, Physics Letters B)
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