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We show that, in the saturation/Color Glass Condensate framework, oddazimuthal harmonics of the two-gluon correlation function with a long-rangeseparation in rapidity are generated by the higher-order saturation correctionsin the interactions with the projectile and the target. At the very least, theodd harmonics require three scatterings in the projectile and three scatteringsin the target. We derive the leading-order expression for the two-gluonproduction cross section which generates odd harmonics: the expression includesall-order interactions with the target and three interactions with theprojectile. We evaluate the obtained expression both analytically andnumerically, confirming that the odd-harmonics contribution to the two-gluonproduction in the saturation framework is non-zero.

When gluons go odd: how classical gluon fields generate odd azimuthal harmonics for the two-gluon correlation function in high-energy collisions