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The four-dimensional on-shell three-point amplitude in spinor-helicity formalism and BCFW recursion relations
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Lecture notes on Poincar\'e-invariant scattering amplitudes and tree-level recursion relations in spinor-helicity formalism. We illustrate the non-perturbative constraints imposed over on-shell amplitudes by the Lorentz Little Group, and review how they completely fix the three-point amplitude involving either massless or massive particles. Then we present an introduction to tree-level BCFW recursion relations, and some applications for massless scattering, where the derived three-point amplitudes are employed.
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Analytic reconstruction with massive particles: one-loop amplitudes for $0 \to \bar{q}qt\bar{t}H$
First analytic reconstruction of the one-loop amplitude for 0 to anti-q, q, top, anti-top, Higgs using massive spinor-helicity, with expressions about twice as fast as the automatic code OpenLoops.
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