Two-loop graviton scattering relation and IR behavior in N=8 supergravity

Abstract

We derive an ABDK-like relation between the one- and two-loop four-graviton amplitudes in N=8 supergravity. Specifically we show that the infrared divergent part of the two-loop amplitude is one-half the square of the one-loop amplitude, suggesting an exponential structure for IR divergences. The difference between the two-loop amplitude and one-half the square of the full one-loop amplitude is therefore finite, and expressible in a relatively simple form. We give arguments for generalizations to higher loops and n-point functions, suggesting that the exponential of the full one-loop amplitude may be corrected, to low orders, by only simple finite terms.

19 pages; v2: reference added; v3, published version: slight change in conventions, minor comments, added reference

References in corpus (6)

• The Two-Loop Six-Gluon MHV Amplitude in Maximally Supersymmetric Yang-Mills Theory
• Three-Loop Superfiniteness of N=8 Supergravity
• The hexagon Wilson loop and the BDS ansatz for the six-gluon amplitude
• Decoupling Supergravity from the Superstring
• Infrared Limit of Gluon Amplitudes at Strong Coupling
• "Anomaly" in n=infinity Alday-Maldacena Duality for Wavy Circle

Cited by in corpus (1)

• Four-point Amplitudes in N=8 Supergravity and Wilson Loops