The distribution of linearly polarized gluons and elliptic azimuthal anisotropy in DIS dijet production at high energy

Abstract

We determine the distribution of linearly polarized gluons of a dense target at small $x$ by solving the B-JIMWLK rapidity evolution equations. From these solutions we estimate the amplitude of $\sim \cos 2\phi$ azimuthal asymmetries in DIS dijet production at high energies. We find sizeable long-range in rapidity azimuthal asymmetries with a magnitude in the range of $v_2=\langle\cos 2\phi\rangle \sim 10\%$.