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A<sc>bstract</sc> We explore the recently derived equation that resums DGLAP corrections to the JIMWLK Hamiltonian in the simplified setting of the SU(2) gauge theory. We solve the equation numerically for the scattering matrix of a dressed gluon for a particular initial condition, that corresponds to a dipole initial state. We evolve theS-matrix of a single dressed gluon from the scaleQP, which is the inverse color correlation length in the projectile toQ≫QPwhich corresponds to the hard resolution scale provided by the target. As expected,Sceases to be unitary if evolved to significant ln$$ {Q}^2/{Q}_P^2 $$ . Our numerical results indicate an interesting universal (independent of the coupling constant) pattern for this deviation from unitarity.more » « lessFree, publicly-accessible full text available July 1, 2026
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