Resummed BK evolution with DGLAP and kinematic constraint

I presented the analysis of the small x non-linear evolution equation formulated in momentum space supplemented by higher order terms, based on our publication Phys.Rev.D 111 (2025) 11, 116021 [1]. The resummed Balitsky-Kovchegov (BK) equation is solved in a wide range of transverse momentum and longitudinal momentum fractions, extending previous studies performed in Eur. Phys. J. C 29, 521 (2003) [2] and Eur. Phys. J. C 41, 343 (2005) [3]. The linear part of the equation is motivated by the renormalization group improved small x resummation, which includes collinear splitting functions and kinematical constraints. By solving the unintegrated gluon density from the equation, we perform fits to deep inelastic scattering reduced cross section data.