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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.

Authors:
; ; ; ; ;
Publication Date:
Research Org.:
Univ. of California, Los Angeles, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP); National Science Foundation (NSF); UK Science and Technology Facilities Council; Marie-Cklodowska-Curie Foundation; Simons Foundation; Knut and Alice Wallenberg Foundation
OSTI Identifier:
1561340
Alternate Identifier(s):
OSTI ID: 1608235
Report Number(s):
BOW-PH-167; NORDITA-2019-076; QMUL-PH-19-20; CERN-TH-2019-133
Journal ID: ISSN 0370-2693; S0370269319306495; 134927; PII: S0370269319306495
Grant/Contract Number:  
SC000993; SC0009937; PHY17-20202; 764850; 4036 342344; KAW 2018.0116; ST/P000754/1
Resource Type:
Published Article
Journal Name:
Physics Letters B
Additional Journal Information:
Journal Name: Physics Letters B Journal Volume: 798 Journal Issue: C; Journal ID: ISSN 0370-2693
Publisher:
Elsevier
Country of Publication:
Netherlands
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Di Vecchia, Paolo, Luna, Andrés, Naculich, Stephen G., Russo, Rodolfo, Veneziano, Gabriele, and White, Chris D. A tale of two exponentiations in N = 8 supergravity. Netherlands: N. p., 2019. Web. doi:10.1016/j.physletb.2019.134927.
Di Vecchia, Paolo, Luna, Andrés, Naculich, Stephen G., Russo, Rodolfo, Veneziano, Gabriele, & White, Chris D. A tale of two exponentiations in N = 8 supergravity. Netherlands. https://doi.org/10.1016/j.physletb.2019.134927
Di Vecchia, Paolo, Luna, Andrés, Naculich, Stephen G., Russo, Rodolfo, Veneziano, Gabriele, and White, Chris D. Fri . "A tale of two exponentiations in N = 8 supergravity". Netherlands. https://doi.org/10.1016/j.physletb.2019.134927.
@article{osti_1561340,
title = {A tale of two exponentiations in N = 8 supergravity},
author = {Di Vecchia, Paolo and Luna, Andrés and Naculich, Stephen G. and Russo, Rodolfo and Veneziano, Gabriele and White, Chris D.},
abstractNote = {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.},
doi = {10.1016/j.physletb.2019.134927},
journal = {Physics Letters B},
number = C,
volume = 798,
place = {Netherlands},
year = {2019},
month = {11}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1016/j.physletb.2019.134927

Citation Metrics:
Cited by: 7 works
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Works referenced in this record:

Exponentiation of eikonal cross sections in nonabelian gauge theories
journal, December 1983


Diagrammatic insights into next-to-soft corrections
journal, October 2014


Graviton dominance in ultra-high-energy scattering
journal, November 1987


High-energy scattering in gravity and supergravity
journal, November 2010

  • Giddings, Steven B.; Schmidt-Sommerfeld, Maximilian; Andersen, Jeppe R.
  • Physical Review D, Vol. 82, Issue 10
  • DOI: 10.1103/PhysRevD.82.104022

Graviton reggeization
journal, October 1982


Classical and Quantum Gravity Effects from Planckian Energy Superstring Collisions
journal, July 1988

  • Amati, D.; Ciafaloni, M.; Veneziano, G.
  • International Journal of Modern Physics A, Vol. 03, Issue 07
  • DOI: 10.1142/S0217751X88000710

Superstring collisions at planckian energies
journal, October 1987


N = 4 Yang-Mills and N = 8 supergravity as limits of string theories
journal, May 1982


Eikonal Approximation in Quantum Field Theory
journal, October 1969


Ultraviolet Behavior of N = 8 Supergravity at Four Loops
journal, August 2009


Reggeization of elementary particles in renormalizable gauge theories: Scalars
journal, May 1974

  • Grisaru, Marcus T.; Schnitzer, Howard J.; Tsao, Hung-Sheng
  • Physical Review D, Vol. 9, Issue 10
  • DOI: 10.1103/PhysRevD.9.2864

Simplifying multiloop integrands and ultraviolet divergences of gauge theory and gravity amplitudes
journal, May 2012


N 4 supergravity amplitudes from gauge theory at one loop
journal, November 2011


Four-point amplitudes in supergravity and Wilson loops
journal, January 2009


Diagrammatic exponentiation for products of Wilson lines
journal, November 2010


String theory beyond the Planck scale
journal, July 1988


Scattering at planckian energies
journal, March 1992


Borel summation of string theory for Planck scale scattering
journal, August 1990


Enhanced ultraviolet cancellations in N = 5 supergravity at four loops
journal, November 2014


Five-loop four-point integrand of N = 8 supergravity as a generalized double copy
journal, December 2017


Calculation of graviton scattering amplitudes using string-based methods
journal, January 1995


Cancellations Beyond Finiteness in N = 8 Supergravity at Three Loops
journal, April 2007


Eikonal quantum gravity and planckian scattering
journal, December 1992


Two-loop graviton scattering relation and IR behavior in supergravity
journal, December 2008


Reggeization of Elementary Particles in Renormalizable Gauge Theories: Vectors and Spinors
journal, December 1973

  • Grisaru, Marcus T.; Schnitzer, Howard J.; Tsao, Hung-Sheng
  • Physical Review D, Vol. 8, Issue 12
  • DOI: 10.1103/PhysRevD.8.4498

Reggeization of Yang-Mills Gauge Mesons in Theories with a Spontaneously Broken Symmetry
journal, April 1973

  • Grisaru, Marcus T.; Schnitzer, Howard J.; Tsao, Hung-Sheng
  • Physical Review Letters, Vol. 30, Issue 17
  • DOI: 10.1103/PhysRevLett.30.811

Higher-order gravitational deflection and soft bremsstrahlung in planckian energy superstring collisions
journal, December 1990


High-energy unitarity of gravitation and strings
journal, January 1988


Is <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mi mathvariant="script">N</mml:mi><mml:mo>=</mml:mo><mml:mn>8</mml:mn></mml:math> supergravity ultraviolet finite?
journal, January 2007


Infinities within graviton scattering amplitudes
journal, February 1997


Infrared Photons and Gravitons
journal, October 1965


Regge behavior of gluon scattering amplitudes in SYM theory
journal, May 2008


Collinear and soft divergences in perturbative quantum gravity
journal, November 2011


Bound states in N = 8 supergravity and N = 4 supersymmetric Yang-Mills theories
journal, September 1982


Ultraviolet properties of N = 8 supergravity at five loops
journal, October 2018


Non-abelian eikonal exponentiation
journal, November 1984


On the relationship between Yang-Mills theory and gravity and its implication for ultraviolet divergences
journal, October 1998


Wilson line approach to gravity in the high energy limit
journal, January 2014


Dynamical calculation of bound-state supermultiplets in N = 8 supergravity
journal, December 1981


Effective action and all-order gravitational eikonal at planckian energies
journal, August 1993


Planckian scattering beyond the semiclassical approximation
journal, September 1992