A Comprehensive Framework for Studying $W^{\prime }$ and $Z^{\prime }$ Bosons at Hadron Colliders with Automated Jet Veto Resummation

Abstract

The production of high-mass, color-singlet particles in hadron colliders is universally accompanied by initial state QCD radiation that is predominantly soft with respect to the hard process scale $Q$ and/or collinear with respect to the beam axis. At TeV-scale colliders, this is in contrast to top quark and multijet processes, which, by definition, are hard and central. Consequently, vetoing events with jets possessing transverse momenta above $p_T^{\mathrm{Veto}}$ in searches for new color-singlet states can efficiently reduce non-singlet backgrounds, thereby increasing experimental sensitivity. To quantify this generic observation, we investigate the production and leptonic decay of a Sequential Standard Model $W^{\prime }$ boson at the 13 TeV LHC. We systematically consider signal and background processes at next-to-leading-order (NLO) in QCD with parton shower (PS) matching; for color-singlet channels, we resum Sudakov logarithms of the form ${\alpha }_s^j(p_T^{\mathrm{Veto}}){\log }^k(Q/p_T^{\mathrm{Veto}})$ up to next-to-next-to-leading logarithmic accuracy (NNLL) with NLO matching. We obtain our results using the MadGraph5aMC@NLO and MadGraph5aMC@NLO-SCET frameworks, respectively. Associated FeynRules model files capable of handling NLO+PS- and NLO+NNLL-accurate computations are publicly available. We find that within their given uncertainties, both the NLO+PS and NLO+NNLL(veto) calculations give accurate and consistent predictions. Consequently, jet vetoes applied to color-singlet processes can be reliably modeled at the NLO+PS level. With respect to a $b$-jet veto of $p_T^{\mathrm{Veto}}=30$ GeV, flavor-agnostic vetoes of $p_T^{\mathrm{Veto}}=30-40$ GeV can further reduce single top and $t\overline{t}$ rates by a factor of 2-50 at a mild cost of the signal rate. Jet vetoes can increase signal-to-noise ratios by roughly 10\% for light $W^{\prime }$ boson masses of 30-50 GeV and 25\%-250\% for masses of 300-800 GeV.

Journal version (very minor changes and updated references). FeynRules files available from: http://feynrules.irmp.ucl.ac.be/wiki/WZPrimeAtNLO

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