Resummation of jet veto logarithms at N3LLa + NNLO for W+W- production at the LHC

We compute the resummed on-shell W+W- production cross section under a jet veto at the LHC to partial (NLL)-L-3 order matched to the fixed-order NNLO result. Differential NNLO cross sections are obtained from an implementation of q(T) subtraction in Sherpa. The two-loop virtual corrections to the q (q) over bar -> W+W- amplitude, used in both fixed-order and resummation predictions, arc extracted from the public code qqvvamp. We perform resummation using soft collinear effective theory, with approximate beam functions where only the logarithmic terms are included at two-loop. In addition to scale uncertainties from the hard matching scale and the factorization scale, rapidity scale variations are obtained within the analytic regulator approach. Our resummation results show a decrease in the jet veto cross section compared to NNLO fixed-order predictions, with reduced scale uncertainties compared to NNLL + NLO resummed predictions. We include the loop-induced gg contribution with jet veto resurnmation to NLL + LO. The prediction shows good agreement with recent LHC measurements.