Amplitudes from superconformal Ward identities

Abstract

We consider finite superamplitudes of N=1 matter, and use superconformal symmetry to derive powerful first-order differential equations for them. Due to on-shell collinear singularities, the Ward identities have an anomaly, which is obtained from lower-loop information. We show that in the five-particle case, the solution to the equations is uniquely fixed by the expected analytic behavior. We apply the method to a non-planar two-loop five-particle integral.

arXiv comment5 pages, 2 figures, 3 ancillary files

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Cited by in corpus (22)

• Pentagon functions for massless planar scattering amplitudes
• All master integrals for three-jet production at NNLO
• Analytic form of the full two-loop five-gluon all-plus helicity amplitude
• NNLO QCD corrections to three-photon production at the LHC
• Analytic result for a two-loop five-particle amplitude
• Complete integration-by-parts reductions of the non-planar hexagon-box via module intersections
• Analytic result for the nonplanar hexa-box integrals
• Differential equations from unitarity cuts: nonplanar hexa-box integrals
• Yangian Bootstrap for Conformal Feynman Integrals
• The two-loop five-particle amplitude in $\mathcal{N}=8$ supergravity
• Two-loop Octagons, Algebraic Letters and $\bar{Q}$ Equations
• Bootstrapping two-loop Feynman integrals for planar N=4 sYM
• Two-loop five-point massless QCD amplitudes within the IBP approach
• Dual Conformal Structure Beyond the Planar Limit
• Implications of nonplanar dual conformal symmetry
• Multi-Regge Limit of the Two-Loop Five-Point Amplitudes in $\mathcal{N}=4$ Super Yang-Mills and $\mathcal{N}=8$ Supergravity
• Conformal Invariance of the One-Loop All-Plus Helicity Scattering Amplitudes
• The Wilson-loop $d\log$ representation for Feynman integrals
• One-loop hexagon integral to higher orders in the dimensional regulator
• The full angle-dependence of the four-loop cusp anomalous dimension in QED
• Amplitudes from anomalous superconformal symmetry
• Anomalous Ward identities for on-shell amplitudes at the conformal fixed point