Color-kinematics duality in multi-Regge kinematics and dimensional reduction

• Published in: The journal of high energy physics Vol. 2013; no. 10; pp. 1 - 12
• Main Authors: Johansson, Henrik, Vera, Agustín Sabio, Campillo, Eduardo Serna, Vázquez-Mozo, Miguel Á.
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.10.2013; Springer Nature B.V
• Subjects: Amplitudes; Classical and Quantum Gravitation; Contact; Elementary Particles; Emission analysis; Gauge theory; Gravitation; High energy physics; Kinematics; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Reduction; Relativity Theory; Scalars; String Theory; Scattering Amplitudes; Models of Quantum Gravity; QCD
• ISSN: 1029-8479; 1029-8479
• DOI: 10.1007/JHEP10(2013)215

A bstract In this note we study the applicability of the color-kinematics duality to the scattering of two distinguishable scalar matter particles with gluon emission in QCD, or graviton emission in Einstein gravity. Previous analysis suggested that direct use of the Bern-Carrasco-Johansson double-copy prescription to matter amplitudes does not reproduce the gravitational amplitude in multi-Regge kinematics. This situation, however, can be avoided by extensions to the gauge theory, while maintaning the same Regge limit. Here we present two examples of these extensions: the introduction of a scalar contact interaction and the relaxation of the distinguishability of the scalars. In both cases new diagrams allow for a full reconstruction of the correct Regge limit on the gravitational side. Both modifications correspond to theories obtained by dimensional reduction from higher-dimensional gauge theories.