Reggeization of quark-quark scattering amplitude in QCD
V. S. Fadin, R. Fiore, A. Quartarolo
TL;DR
A discontinuity of the quark-quark scattering amplitude with gluon quantum numbers in the channel and a negative signature is calculated in the Regge kinematical region in the two-loop approximation, confirming thegluon Reggeization.
Abstract
$s$-channel discontinuity of quark-quark scattering amplitude with gluon quantum numbers in the $t$ channel and negative signature is calculated in the Regge kinematical region in the two-loop approximation. Using this discontinuity and assuming that the Regge asymptotic behaviour is given by the Reggeized gluon contribution, we calculate the gluon trajectory in the two-loop approximation. Remarkable cancellations lead to the independence of the trajectory on properties of the scattered quarks, confirming the gluon Reggeization.