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Collins-Soper equation for the energy evolution of transverse-momentum and spin dependent parton distributions

Collins-Soper equation for the energy evolution of transverse-momentum and spin dependent parton distributions

The hadron-energy evolution (Collins and Soper) equation for all the leading-twist transverse-momentum and spin dependent parton distributions is derived in the impact parameter space. Based on this equation, we present a resummation formulas for the spin dependent structure functions of the semi-inclusive deep-inelastic scattering.