Two-loop Sudakov Form Factor in ABJM

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.

29 pages, 12 figures

References in corpus (22)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• New Relations for Gauge-Theory Amplitudes
• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Algebraic structures on parallel M2-branes
• Multiloop integrals in dimensional regularization made simple
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• Conformal properties of four-gluon planar amplitudes and Wilson loops
• Algorithm FIRE -- Feynman Integral REduction
• The Bethe ansatz for superconformal Chern-Simons
• Form factors at strong coupling via a Y-system
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• On M5-branes in N=6 Membrane Action
• Integrable Spin Chain in Superconformal Chern-Simons Theory
• Yangian Invariant Scattering Amplitudes in Supersymmetric Chern-Simons Theory
• On form factors in N=4 sym
• Scattering in Mass-Deformed N>=4 Chern-Simons Models
• Dual Superconformal Symmetry of N=6 Chern-Simons Theory
• Numerical Evaluation of Tensor Feynman Integrals in Euclidean Kinematics
• Conformal Anomaly for Amplitudes in N=6 Superconformal Chern-Simons Theory
• Light-like Wilson loops in ABJM and maximal transcendentality
• Form Factors of Chiral Primary Operators at Two Loops in ABJ(M)
• The two-loop six-point amplitude in ABJM theory

Cited by in corpus (15)

• ABJM amplitudes and the positive orthogonal grassmannian
• Cutting through form factors and cross sections of non-protected operators in N=4 SYM
• On-shell Diagrams, Graßmannians and Integrability for Form Factors
• On super form factors of half-BPS operators in N=4 super Yang-Mills
• Light-like Wilson loops in ABJM and maximal transcendentality
• On the ABJM four-point amplitude at three loops and BDS exponentiation
• Form Factors of Chiral Primary Operators at Two Loops in ABJ(M)
• Grassmannians and form factors with $q^2=0$ in N=4 SYM theory
• Non-planarity through unitarity in ABJM
• Form Factor and Boundary Contribution of Amplitude
• ABJM amplitudes and WL at finite N
• Four-point amplitudes in $\mathcal{N}=2$ SCQCD
• Lagrangian Insertion in the Light-Like Limit and the Super-Correlators/Super-Amplitudes Duality
• Unitarity methods for scattering in two dimensions
• On-shell Methods for Form Factors in N=4 SYM and Their Applications