Nonlinear equation for coherent gluon emission

TL;DR

This paper derives a new nonlinear evolution equation combining features of BK and CCFM equations to better understand gluon saturation phenomena at high energies relevant to LHC physics.

Contribution

It introduces a novel exclusive form of the BK equation and proposes a nonlinear extension of the CCFM equation for high energy QCD analysis.

Findings

Derived a new exclusive BK equation form

Proposed a nonlinear extension of CCFM equation

Facilitates study of gluon saturation at high energies

Abstract

Motivated by the regime of QCD explored nowadays at LHC, where both the total energy of collision and momenta transfers are high, we investigate evolution equations of high energy factorization. In order to study such effects like parton saturation in final states one is inevitably led to investigate how to combine physics of the BK and CCFM evolution equations. In this paper we obtain a new exclusive form of the BK equation which suggests a possible form of the nonlinear extension of the CCFM equation.