English

Two-loop Sudakov Form Factor in ABJM

High Energy Physics - Theory 2015-06-15 v1

Abstract

We compute the two-loop Sudakov form factor in three-dimensional N=6 superconformal Chern-Simons theory, using generalised unitarity. As an intermediate step, we derive the non-planar part of the one-loop four-point amplitude in terms of box integrals. Our result for the Sudakov form factor is given by a single non-planar tensor integral with uniform degree of transcendentality, and is in agreement with the known infrared divergences of two-loop amplitudes in ABJM theory. We also discuss a number of interesting properties satisfied by related three-dimensional integral functions.

Keywords

Cite

@article{arxiv.1305.2421,
  title  = {Two-loop Sudakov Form Factor in ABJM},
  author = {Andreas Brandhuber and Omer Gurdogan and Dimitrios Korres and Robert Mooney and Gabriele Travaglini},
  journal= {arXiv preprint arXiv:1305.2421},
  year   = {2015}
}

Comments

29 pages, 12 figures

R2 v1 2026-06-22T00:14:44.310Z