The NNLO quark beam function for jet-veto resummation

We consider the quark beam function that describes collinear initial-state radiation is constrained by a veto on reconstructed jets. As imposed transverse momenta of jets, subject to rapidity divergences, and we use collinear-anomaly framework extract perturbative matching kernels next-to-next-to-leading order (NNLO) in strong-coupling expansion. Our calculation based novel automates computation functions Mellin space it provides ingredients extend jet-veto resummations for quark-initiated processes NNLL$'$ accuracy.