4.4 Article

Two-loop Sudakov form factor in ABJM

Journal

JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 11, Pages -

Publisher

SPRINGER
DOI: 10.1007/JHEP11(2013)022

Keywords

Supersymmetric gauge theory; Scattering Amplitudes; Extended Supersymmetry; Chern-Simons Theories

Funding

  1. STFC String theory, gauge theory duality [ST/J000469/1]
  2. STFC [ST/I505921/1]
  3. Science and Technology Facilities Council [ST/J000469/1, ST/I505921/1] Funding Source: researchfish
  4. STFC [ST/J000469/1, ST/I505921/1] Funding Source: UKRI

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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.

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