Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-12-19
Physics
High Energy Physics
High Energy Physics - Theory
28 pages, LaTeX, feynmf. v2: typos corrected, reference added. Final version to appear in Journal of High Energy Physics
Scientific paper
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.
Campillo Eduardo Serna
Vazquez-Mozo Miguel Angel
Vera Agustin Sabio
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