Twist-2 matching of transverse momentum dependent distributions

Understand

We systematically study the large-$q_T$ (or small-$b$) matching of transverse momentum dependent (TMD) distributions to the twist-2 integrated parton distributions.

• Performing operator product expansion for a generic TMD operator at the next-to-leading order (NLO) we found the complete set of TMD distributions that match twist-2.
• These are unpolarized, helicity, transversity, pretzelosity and linearly polarized gluon distributions.
• The NLO matching coefficients for these distributions are presented.