Automating QCD amplitudes with on-shell methods

Abstract

We review some of the modern approaches to scattering amplitude computations in QCD and their application to precision LHC phenomenology. We emphasise the usefulness of momentum twistor variables in parameterising general amplitudes.

8 pages, proceedings contribution to ACAT 2016, Valparaiso, Chile, 18-22 Jan 2016

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• Loops on the Celestial Sphere
• Amplitude bases in generic EFTs
• Lepton-pair scattering with an off-shell and an on-shell photon at two loops in massless QED
• The one-loop amplitudes for Higgs + 4 partons with full mass effects
• One-loop QCD helicity amplitudes for $pp\to t\bar{t}j$ to $O({\epsilon }^2)$
• Full-colour double-virtual amplitudes for associated production of a Higgs boson with a bottom-quark pair at the LHC
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• Maximal transcendental weight contribution of scattering amplitudes
• Two-loop all-plus helicity amplitudes for self-dual Higgs boson with gluons via unitarity cut constraints
• Three-loop helicity amplitudes for four-quark scattering in massless QCD
• Top-Yukawa contributions to $pp\to b\bar{b}H$: two-loop leading-colour amplitudes
• Local integrands for two-loop QCD amplitudes
• Recent progress for five-particle two-loop scattering amplitudes with an off-shell leg
• Analytic results for scalar-mediated Higgs boson production in association with two jets
• One-loop amplitudes for $t\bar{t}j$ and $t\bar{t}\gamma$ productions at the LHC through $\mathcal{O}({\epsilon }^2)$