Jet-veto resummation at N${}^3$LL${}_{\text{p}}$+NNLO in boson production processes

Vetoing energetic jet activity is a crucial tool for suppressing backgrounds and enabling new physics searches at the LHC, but the introduction of a veto scale can introduce large logarithms that may need to be resummed. We present an implementation of jet-veto resummation for color-singlet processes at the level of N${}^3$LL${}_{\text{p}}$ matched to fixed-order NNLO predictions. Our public code MCFM allows for predictions of a single boson, such as $Z\mathrm{/}{\gamma }^{\ast }$, $W^{\pm }$ or $H$, or with a pair of vector bosons, such as $W^{+}{W}^{-}$, $W^{\pm }Z$ or $ZZ$. The implementation relies on recent calculations of the soft and beam functions in the presence of a jet veto over all rapidities, with jets defined using a sequential recombination algorithm with jet radius $R$. However one of the ingredients that is required to reach full N${}^3$LL accuracy is only known approximately, hence N${}^3$LL${}_{\text{p}}$. We describe in detail our formalism and compare with previous public codes that operate at the level of NNLL. Our higher-order predictions improve significantly upon NNLL calculations by reducing theoretical uncertainties. We demonstrate this by comparing our predictions with ATLAS and CMS results.