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

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

2008-05-15

arxiv.org/abs/0805.2347v3

Nucl.Phys.B805:40-58,2008

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1016/j.nuclphysb.2008.07.001

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.

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