Parton dynamics at small-x

Proton at high energy is a hugely complex many body quantum system where gluons are the dominant degrees of freedom. This densely populated regime of small-x  dynamics is generally addressed within the framework of Color Glass Condensate (CGC) effective field theory.

In this talk we will first introduce the small-x evolution equation namely Balitsky-Kovchegov (BK) equation within the framework of CGC. The BK equation is essentially generalization of more well known BFKL (Balitsky-Fadin-Kuraev-Lipatov) equation. We plan to further discuss our new analytical solution of the Balitsky-Kovchegov equation. We will also report our results for TMD distribution at small transverse momentum that we derived using a limiting solution of BK equation.  Finally we will present our result on the generalization the BK equation that leads to the Jalilian-Marian-Iancu-McLerran-Weigert-Leonidov-Kovner (JIMWLK) evolution equation for the general 2n-tuple Wilson line correlator in their fundamental representation.