Exploring correlations in the CGC wave function: Odd azimuthal anisotropy

We extend the color glass condensate ( CGC) approach to a calculation of the double inclusive gluon production by including the high density effect in the CGC wave function of the projectile ( proton). Our main result is that these effects lead to the appearance of odd harmonics in the two particle correlation Cdk; p_. We find that in the high momentum limit, jkj; jpj Qs, this results in a positive c 1f2g. Additionally when the magnitudes of the two momenta are approximately equal, jkj= jpj 1, the density effects also generate a positive third harmonic c 3f2g, which translates into a nonvanishing v 3 when the momenta of the trigger and an associated particle are in the same momentum bin. The sign of c 3f2g becomes negative when jkj= jpj > 1.1 suggesting an interesting experimental signature.