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Graviton emission in Einstein-Hilbert gravity

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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.

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Authors and Affiliations

  1. Instituto de Física Teórica UAM/CSIC & Universidad Autónoma de Madrid, C/ Nicolás Cabrera 15, E-28049, Madrid, Spain

    Agustín Sabio Vera

  2. Departamento de F´ısica Fundamental & IUFFyM, Universidad de Salamanca, Plaza de la Merced s/n, E-37008, Salamanca, Spain

    Eduardo Serna Campillo & Miguel Á. Vázquez-Mozo

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  1. Agustín Sabio Vera
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  2. Eduardo Serna Campillo
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Correspondence to Agustín Sabio Vera.

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ArXiv ePrint: 1112.4494

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Vera, A.S., Campillo, E.S. & Vázquez-Mozo, M.Á. Graviton emission in Einstein-Hilbert gravity. J. High Energ. Phys. 2012, 5 (2012). https://doi.org/10.1007/JHEP03(2012)005

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