Infrared renormalon contributions in gluon TMD at small-x

Abstract

The nonperturbative uncertainties from the infrared renormalons in the (color dipole) gluon distribution is estimated. It is shown that non-linear saturation effects at small-x shift the first IR pole at the Borel plane from 2/β2 to 1/β2. As a consequence the estimated uncertainty is found to be O(ΛQCD2) instead of O(ΛQCD4). It is however accompanied by a soft suppression term which results further suppression of the nonperturbative infrared renormalon contribution at small x.