Two-loop five-point amplitudes of super Yang-Mills and supergravity in pure spinor superspace

Abstract

Supersymmetric integrands for the two-loop five-point amplitudes in ten-dimensional super Yang--Mills and type II supergravity are proposed. The kinematic numerators are manifestly local and satisfy the duality between color and kinematics described by Bern, Carrasco and Johansson. Our results are expected to reproduce the integrated two-loop amplitudes in dimensions $D<7$. The UV divergence in the critical dimension $D=7$ matches the low-energy limit of the corresponding superstring amplitudes and is written in terms of SYM tree amplitudes.

28 pages, harvmac tex, v2: typos corrected along with multitrace UV divergences, published version

References in corpus (11)

• New Relations for Gauge-Theory Amplitudes
• Minimal Basis for Gauge Theory Amplitudes
• The Complete Four-Loop Four-Point Amplitude in N=4 Super-Yang-Mills Theory
• Ultraviolet properties of Maximal Supergravity
• Multi-Gluon Scattering in Open Superstring Theory
• A solution to the non-linear equations of D=10 super Yang-Mills theory
• PSS: A FORM Program to Evaluate Pure Spinor Superspace Expressions
• Complete N-Point Superstring Disk Amplitude II. Amplitude and Hypergeometric Function Structure
• Cohomology foundations of one-loop amplitudes in pure spinor superspace
• The two-loop superstring five-point amplitude and S-duality
• Scattering equations, supergravity integrands, and pure spinors

Cited by in corpus (16)

• The classical double copy for Taub-NUT spacetime
• The self-dual classical double copy, and the Eguchi-Hanson instanton
• Berends-Giele recursion for double-color-ordered amplitudes
• New BCJ representations for one-loop amplitudes in gauge theories and gravity
• Einstein-Yang-Mills from pure Yang-Mills amplitudes
• Topology and Wilson lines: global aspects of the double copy
• Weyl doubling
• Biadjoint wires
• Overcoming Obstacles to Colour-Kinematics Duality at Two Loops
• Algorithmic construction of SYM multiparticle superfields in the BCJ gauge
• The Classical Double Copy for M-theory from a Kerr-Schild Ansatz for Exceptional Field Theory
• Color-kinematics duality, double copy and the unitarity method for higher-derivative QCD and quadratic gravity
• Explicit BCJ numerators of nonlinear sigma model
• Spontaneously Broken Yang-Mills-Einstein Supergravities as Double Copies
• Divergences in maximal supersymmetric Yang-Mills theories in diverse dimensions
• Color-factor symmetry and BCJ relations for QCD amplitudes