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Graviton emission in Einstein-Hilbert gravity

  • Agustín Sabio Vera
  • Eduardo Serna Campillo
  • Miguel Á. Vázquez-Mozo
Article

Abstract

The five-point amplitude for the scattering of two distinct scalars with the emission of one graviton in the final state is calculated in exact kinematics for Einstein- Hilbert gravity. The result, which satisfies the Steinmann relations, is expressed in Sudakov variables, finding that it corresponds to the sum of two gauge invariant contributions written in terms of a new two scalar - two graviton effective vertex. A similar calculation is carried out in Quantum Chromodynamics (QCD) for the scattering of two distinct quarks with one extra gluon in the final state. The effective vertices which appear in both cases are then evaluated in the multi-Regge limit reproducing the well-known result obtained by Lipatov where the Einstein-Hilbert graviton emission vertex can be written as the product of two QCD gluon emission vertices, up to corrections to preserve the Steinmann relations.

Keywords

Models of Quantum Gravity QCD 

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Copyright information

© SISSA, Trieste, Italy 2012

Authors and Affiliations

  • Agustín Sabio Vera
    • 1
  • Eduardo Serna Campillo
    • 2
  • Miguel Á. Vázquez-Mozo
    • 2
  1. 1.Instituto de Física Teórica UAM/CSIC & Universidad Autónoma de MadridMadridSpain
  2. 2.Departamento de F´ısica Fundamental & IUFFyMUniversidad de SalamancaSalamancaSpain

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