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

Henrik Johansson,Miguel Á Vázquez-Mozo,Eduardo Serna Campillo,Agustín Sabio Vera

doi:10.1007/jhep10(2013)215

Abstract

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.

Highlights

Instituto de Fısica Teórica UAM/CSIC & Universidad Autónoma de Madrid, C/ Nicolás Cabrera 15, E-28049 Madrid, Spain c
After taking the multi-Regge kinematics limit (2.11) we find the following value for the coefficients in eq (2.13)
One can say that the successful application of color-kinematics duality in the cases studied in our work directly stems from its validity in higher-dimensional Yang-Mills

Summary

Introduction

Instituto de Fısica Teórica UAM/CSIC & Universidad Autónoma de Madrid, C/ Nicolás Cabrera 15, E-28049 Madrid, Spain c. Departamento de Fısica Fundamental & IUFFyM, Universidad de Salamanca, Plaza de la Merced s/n, E-37008 Salamanca, Spain. Bern-Carrasco-Johansson double-copy prescription to matter amplitudes does not reproduce the gravitational amplitude in multi-Regge kinematics. This situation, can be avoided by extensions to the gauge theory, while maintaning the same Regge limit. 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

Objectives

Conclusion