Study of small x behaviour of unintegrated gluon distribution constraining gluon evolution in MD-BFKL equation

Abstract

Abstract In this work we have proposed a modified form of MD-BFKL nonlinear evolution equation imposing a kinematic constraint on the gluon evolution in multi-Regge kinematics. Later we have suggested an analytical solution to our KC imposed MD-BFKL equation and studied nonlinear effect of the transverse momentum dependent (TMD) gluon distribution function at small x (10−6 ≤ x ≤ 10−2). Our results have been compared to various TMDlibuPDF datasets viz. PB-NLO-HERA I+II 2018, ccfm set A0.