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For ultrarelativistic proton-proton and proton-nucleus collisions, we performan exploratory study of the contribution to the elliptic flow $v_2$ coming fromthe orientation of the momentum of the produced particles with respect to thereaction plane. Via the CGC factorization valid at high energies, thiscontribution is related to the orientation of a color dipole with respect toits impact parameter, which in turn probes the transverse inhomogeneity in thetarget. Using the McLerran-Venugopalan model (with impact-parameter dependence)as an effective description for the soft gluon distribution in the (proton ornuclear) target, we present a semi-analytic calculation of the dipolescattering amplitude, including its angular dependence. We find that theangular dependence is controlled by soft gluon exchanges and hence is genuinelynon-perturbative. The effects of multiple scattering turn out to be essential(in particular, they change the sign of $v_2$). We find that sizable values for$v_2$, comparable to those observed in the LHC data and having a similardependence upon the transverse momenta of the produced particles, can be easilygenerated via peripheral collisions. In particular, $v_2$ develops a peak at atransverse momentum which scales with the saturation momentum in the target.

Elliptic flow from color-dipole orientation in pp and pA collisions