Journal of High Energy Physics (Apr 2021)

Locally-finite quantities in sYM

  • Jacob L. Bourjaily,
  • Cameron Langer,
  • Kokkimidis Patatoukos

DOI
https://doi.org/10.1007/JHEP04(2021)298
Journal volume & issue
Vol. 2021, no. 4
pp. 1 – 21

Abstract

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Abstract A locally-finite quantity is one for which there is no region of divergence anywhere in the space of real loop momenta; it can therefore be computed (in principle) without regularization. In this work, we prove that all two-loop ratio functions in planar, maximally supersymmetric Yang-Mills theory are locally-finite.

Keywords