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Description
The high-energy evolution of operators composed of Wilson lines (WLs) and their derivatives can be obtained by solving the JIMWLK equation. However, for the dipole operator, more numerically efficient solutions to the BK equation can be used. The BK equation can be derived from the action of the JIMWLK Hamiltonian on the dipole operator when Nc is large.
In Gaussian truncation, one assumes that the correlation due to high-energy evolution can be encoded in a two-point function whose form can be recovered from the dipole's evolution. With this approximation, one can also express any WL correlators in terms of the dipole's log.
In this work, we focus on operators that appear in transverse momentum-dependent (TMD) distributions in processes such as dijet production. Using the JIMWLK equation, we study the evolution of these operators and compare the results to those of Gaussian truncation, employing the evolved dipole from the JIMWLK equation.