Prospects in the search for a new light $Z^{\prime }$ boson with the NA64$\mu$ experiment at the CERN SPS

Abstract

A light $Z^{\prime }$ vector boson coupled to the second and third lepton generations through $L_{\mu }-L_{\tau }$ current with mass below 200 MeV provides a very viable explanation in terms of new physics to the recently confirmed $(g-2{)}_{\mu }$ anomaly. This boson can be produced in the bremsstrahlung reaction $\mu N\to \mu N{Z}^{\prime }$ after a high energy muon beam collides with a target. NA64$\mu$ is a fixed-target experiment using a 160 GeV muon beam from the CERN Super Proton Synchrotron accelerator looking for the $Z^{\prime }$ production and its subsequent decays, $Z^{\prime }\to invisible$. In this paper, we present the study of the NA64$\mu$ sensitivity to search for such a $Z^{\prime }$. This includes a realistic beam simulation, the detailed detectors description and a discussion about the main potential background sources. A pilot run is scheduled in order to validate the simulation results. If those are confirmed, NA64$\mu$ will be able to explore all the remaining phase space which could provide an explanation for the $g-2$ muon anomaly.

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• Search for a light muon-philic $Z^{\prime }$ with the NA64-$e$ experiment at CERN
• Probing light mediators at the MUonE experiment
• Lepton-Flavor-Violating ALP Signals with TeV-Scale Muon Beams
• Probing the $L_{\mu }$-$L_{\tau }$ Gauge Boson at the MUonE Experiment
• Searching for Muonphilic Dark Sectors with Proton Beams
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• Probing for chiral $Z^{\prime }$ gauge boson through scattering measurement experiments
• Probing some photon portals to new physics at intensity frontier experiments
• New Searches for Muonphilic Particles at Proton Beam Dump Spectrometers
• Leptonic scalar portal: Origin of muon $g-2$ anomaly and dark matter?
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• Resonant probing spin-0 and spin-2 dark matter mediators with fixed target experiments
• Prospects of five-dimensional $L_{\mu }-L_{\tau }$ gauge interactions in the light of elastic neutrino-electron scatterings: The scope of the DUNE near detector
• The $L_{\mu }-L_{\tau }$ solution to the IceCube Ultra High Energy neutrino deficit in light of NA64
• Exploring the Null Results in the Direct Detection Experiments, $(g-2{)}_{\ell }$ and Neutrino Mass in an Extended $U(1{)}_{L_{\mu }-L_{\tau }}$ Model Constrained through the $Z\to {\ell }^{+}{\ell }^{-}$ Decays
• Muon Beam Dump Experiments probe five-dimensional nature of $U(1{)}_{L_{\mu }-L_{\tau }}$