The two-loop six-point amplitude in ABJM theory

Abstract

In this paper we present the first analytic computation of the six-point two-loop amplitude of ABJM theory. We show that the two-loop amplitude consist of corrections proportional to two distinct local Yangian invariants which can be identified as the tree- and the one-loop amplitude respectively. The two-loop correction proportional to the tree-amplitude is identical to the one-loop BDS result of N=4 SYM plus an additional remainder function, while the correction proportional to the one-loop amplitude is finite. Both the remainder and the finite correction are dual conformal invariant, which implies that the two-loop dual conformal anomaly equation for ABJM is again identical to that of one-loop N=4 SYM, as was first observed at four-point. We discuss the theory on the Higgs branch, showing that its amplitudes are infrared finite, but equal, in the small mass limit, to those obtained in dimensional regularization.

45 pages

References in corpus (12)

• New Relations for Gauge-Theory Amplitudes
• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Algebraic structures on parallel M2-branes
• The Complete Planar S-matrix of N=4 SYM as a Wilson Loop in Twistor Space
• Dual Superconformal Symmetry from AdS5 x S5 Superstring Integrability
• Yangian Invariant Scattering Amplitudes in Supersymmetric Chern-Simons Theory
• Spinor Helicity and Dual Conformal Symmetry in Ten Dimensions
• Scattering in Mass-Deformed N>=4 Chern-Simons Models
• Dual Conformal Properties of Six-Dimensional Maximal Super Yang-Mills Amplitudes
• On the fermionic T-duality of the AdS_4 \times CP^3 sigma-model
• On AdS_4 x CP^3 T-duality
• The Coulomb-branch S-matrix from massless amplitudes