A tale of two exponentiations in N=8 supergravity

Paolo Di Vecchia; Andres Luna; Stephen G. Naculich; Rodolfo Russo; Gabriele Veneziano; Chris D. White

doi:10.1016/j.physletb.2019.134927

A tale of two exponentiations in N=8 supergravity

Paolo Di Vecchia, Andres Luna, Stephen G. Naculich, Rodolfo Russo, Gabriele Veneziano, Chris D. White

Theoretical high energy, astroparticle and gravitational physics

19 Citations (Scopus)

2 Downloads (Pure)

Abstract

The structure of scattering amplitudes in supergravity theories continues to be of interest. Recently, the amplitude for 2→2 scattering in N=8 supergravity was presented at three-loop order for the first time. The result can be written in terms of an exponentiated one-loop contribution, modulo a remainder function which is free of infrared singularities, but contains leading terms in the high energy Regge limit. We explain the origin of these terms from a well-known, unitarity-restoring exponentiation of the high-energy gravitational S-matrix in impact-parameter space. Furthermore, we predict the existence of similar terms in the remainder function at all higher loop orders. Our results provide a non-trivial cross-check of the recent three-loop calculation, and a necessary consistency constraint for any future calculation at higher loops.

Original language	English
Article number	UNSP 134927
Journal	Physics Letters B
Volume	798
Number of pages	7
ISSN	0370-2693
DOIs	https://doi.org/10.1016/j.physletb.2019.134927
Publication status	Published - 10 Nov 2019

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title = "A tale of two exponentiations in N=8 supergravity",

abstract = "The structure of scattering amplitudes in supergravity theories continues to be of interest. Recently, the amplitude for 2→2 scattering in N=8 supergravity was presented at three-loop order for the first time. The result can be written in terms of an exponentiated one-loop contribution, modulo a remainder function which is free of infrared singularities, but contains leading terms in the high energy Regge limit. We explain the origin of these terms from a well-known, unitarity-restoring exponentiation of the high-energy gravitational S-matrix in impact-parameter space. Furthermore, we predict the existence of similar terms in the remainder function at all higher loop orders. Our results provide a non-trivial cross-check of the recent three-loop calculation, and a necessary consistency constraint for any future calculation at higher loops.",

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T1 - A tale of two exponentiations in N=8 supergravity

AU - Di Vecchia, Paolo

AU - Luna, Andres

AU - Naculich, Stephen G.

AU - Russo, Rodolfo

AU - Veneziano, Gabriele

AU - White, Chris D.

PY - 2019/11/10

Y1 - 2019/11/10

N2 - The structure of scattering amplitudes in supergravity theories continues to be of interest. Recently, the amplitude for 2→2 scattering in N=8 supergravity was presented at three-loop order for the first time. The result can be written in terms of an exponentiated one-loop contribution, modulo a remainder function which is free of infrared singularities, but contains leading terms in the high energy Regge limit. We explain the origin of these terms from a well-known, unitarity-restoring exponentiation of the high-energy gravitational S-matrix in impact-parameter space. Furthermore, we predict the existence of similar terms in the remainder function at all higher loop orders. Our results provide a non-trivial cross-check of the recent three-loop calculation, and a necessary consistency constraint for any future calculation at higher loops.

AB - The structure of scattering amplitudes in supergravity theories continues to be of interest. Recently, the amplitude for 2→2 scattering in N=8 supergravity was presented at three-loop order for the first time. The result can be written in terms of an exponentiated one-loop contribution, modulo a remainder function which is free of infrared singularities, but contains leading terms in the high energy Regge limit. We explain the origin of these terms from a well-known, unitarity-restoring exponentiation of the high-energy gravitational S-matrix in impact-parameter space. Furthermore, we predict the existence of similar terms in the remainder function at all higher loop orders. Our results provide a non-trivial cross-check of the recent three-loop calculation, and a necessary consistency constraint for any future calculation at higher loops.

U2 - 10.1016/j.physletb.2019.134927

DO - 10.1016/j.physletb.2019.134927

M3 - Journal article

SN - 0370-2693

VL - 798

JO - Physics Letters B

JF - Physics Letters B

M1 - UNSP 134927

ER -

A tale of two exponentiations in N=8 supergravity

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