Speaker
Description
We calculate the one loop corrections to single (SIDIS) and double (DIDIS) inclusive hadron production in DIS at small x using the Color Glass Condensate formalism. It is shown that all soft and UV singularities cancel among themselves. Collinear singularities lead to DGLAP evolution of parton-hadron fragmentation functions while rapidity singularities lead to JIMWLK evolution of dipoles and quadrupoles which appear in the Leading Order expressions. We then focus on SIDIS and consider the limit when the produced hadron transverse momentum is much smaller than the photon virtuality. We show that imposing a kinematic constraint on the JIMWLK evolution leads to the so called Sudakov single and double logs. We discuss the significance of our results for gluon saturation searches at the Electron-Ion Collider.
