The evolution of the small x gluon TMD

We study the evolution of the small x gluon transverse momentum dependent (tmd) distribution in the dilute limit. the calculation has been carried out in the ji-ma-yuan scheme using a simple quark target model. as expected, we find that the resulting small x gluon tmd simultaneously satisfies both the collins-soper (cs) evolution equation and the balitsky-fadin-kuraev-lipatov (bfkl) evolution equation. we thus confirmed the earlier finding that the high energy factorization (hef) and the tmd factorization should be jointly employed to resum the different type large logarithms in a process where three relevant scales are well separated.