Journal of High Energy Physics (Aug 2022)

Infrared properties of five-point massive amplitudes in N $$ \mathcal{N} $$ = 4 SYM on the Coulomb branch

  • L. V. Bork,
  • N. B. Muzhichkov,
  • E. S. Sozinov

DOI
https://doi.org/10.1007/JHEP08(2022)173
Journal volume & issue
Vol. 2022, no. 8
pp. 1 – 26

Abstract

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Abstract We investigate the structure of the five-point W boson scattering amplitude in N $$ \mathcal{N} $$ = 4 SYM on the Coulomb branch in a small mass limit. We show that up to two loops the IR divergences exponentiate and are controlled by the Γoct anomalous dimension similar to the four-point amplitude case considered recently in the literature. We also make a conjecture regarding the all-loop structure of the five-point amplitude.

Keywords