Quarkonium TMD fragmentation functions in NRQCD

Understand

We study the transverse-momentum spectrum of quarkonium production from single light-parton fragmentation mechanism.

• In the case of semi-inclusive deep inelastic scattering, we observe that there are two possible initiating processes, namely photon-gluon fusion and light-quark fragmentation.
• For the second case we derive the factorization theorem, which involves a new hadronic quantity: the quarkonium transverse-momentum-dependent fragmentation functions in NRQCD.
• We calculate their matching onto the non-perturbative long distance matrix elements at the lowest order in the strong-coupling constant (${\mathcal O}(\alpha_s^2)$).