Dimitri Corradini

Scattering amplitudes in planar $\mathcal{N}=4$ super Yang–Mills are unusually rigid: dual conformal symmetry, Yangian invariance, and their analytic structure often fix an integrand almost completely. I study how far these constraints — together with the soft, collinear, and infrared limits of the integrands — determine multi-loop amplitudes. A large part of the work is the infrared structure of the integrals themselves: constructing manifestly finite representations and the subtraction procedures that isolate the finite content of each loop integral. I also work on the infrared behaviour of light scalar fields during inflation.

• Soft–collinear bootstrap

  Constructing MHV and NMHV loop integrands in momentum-twistor space from their soft, collinear, and infrared limits, rather than from Feynman diagrams.

• Finite integrals and infrared subtraction

  Building manifestly finite — locally finite — representations of Feynman integrals, and the subtraction procedures that remove their infrared divergences to expose the finite part cleanly, without a regulator obscuring the structure.

• Light scalars in inflation

  The infrared behaviour of the long-wavelength modes of light scalar fields during inflation.

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