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

Abstract

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 $Z/{\gamma }^{\ast }$, $W^{\pm }$ 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.

58 pages, 19 Figures, published version with additional figures (Fig.13 and Fig.18(b)) assessing uncertainty caused by the unknown d_3^veto. Improvement of language on logarithmic order of initial gluon contributions and comparison with JetVHeto. Recalculation of resummed uncertainties, giving minor updates to figures throughout. Qualitative conclusions are unchanged

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