Reggeization in Color
Anjie Gao, Ian Moult, Sanjay Raman, Gregory Ridgway, Iain W. Stewart

TL;DR
This paper develops a top-down effective field theory approach to sum large energy logarithms for Regge cut contributions in non-planar gauge theories, deriving matrix evolution equations for various color channels in QCD.
Contribution
It introduces a novel method using color projection and rapidity evolution to organize Regge cut contributions beyond the planar limit in gauge theories.
Findings
Derived a 6x6 matrix evolution equation for decupletons in QCD.
Established a 2x2 evolution equation for triantapentons.
Formulated a scalar evolution equation for tetrahexaconton.
Abstract
In the high energy limit, , amplitudes in planar gauge theories Reggeize, with power law behavior governed by the Regge trajectory . Beyond the planar limit this simplicity is violated by "Regge cuts", for which practical organizational principles are still being developed. We use a top-down effective field theory organization based on color projection in the channel and rapidity evolution equations for collinear impact factors, to sum large logarithms for Regge cut contributions. The results are matrix equations which are closed within a given color channel. To illustrate the method we derive in QCD with for the first time a closed 66 evolution equation for the "decupletons" in the Regge color channel, a 22 evolution equation for the "triantapentons"…
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Taxonomy
TopicsColor Science and Applications
