Probing the $L_{\mu }$-$L_{\tau }$ Gauge Boson at the MUonE Experiment

Abstract

We discuss the prospects of probing the $L_{\mu }-L_{\tau }$ gauge boson at the MUonE experiment. The $L_{\mu }-L_{\tau }$ gauge boson $Z^{\prime }$ with a mass of $\lesssim 200$ MeV, which can explain the discrepancy between the measured value of the muon $g-2$ and the value calculated in the Standard Model, can be produced at the MUonE experiment through the process $\mu e\to \mu e{Z}^{\prime }$. The $Z^{\prime }$ in the final state decays into a pair of neutrinos, and therefore we cannot observe the decay of $Z^{\prime }$ directly. It is, however, still possible to probe this signature by searching for events with a large scattering angle of muon and a less energetic final-state electron. The background events coming from the elastic scattering $\mu e\to \mu e$ as well as radiative process $\mu e\to \mu e\gamma$ can be removed by the kinematical cuts on the muon scattering angle and the electron energy, in addition to a photon veto. The background events from the electroweak process $\mu e\to \mu e\nu \bar{\nu }$ are negligible. With our selection criteria, the number of signal events $\mu e\to \mu e{Z}^{\prime }$ is found to be as large as $\sim 10^3$ in the parameter region motivated by the muon $g-2$ discrepancy. It is, therefore, quite feasible to probe the $L_{\mu }-L_{\tau }$ gauge boson at the MUonE experiment -- without introducing additional devices -- and we strongly recommend recording the events relevant to this $Z^{\prime }$ production process.

arXiv comment6pages, 3 figures, published version

References in corpus (81)

• The automated computation of tree-level and next-to-leading order differential cross sections, and their matching to parton shower simulations
• FeynRules 2.0 - A complete toolbox for tree-level phenomenology
• Final Report of the Muon E821 Anomalous Magnetic Moment Measurement at BNL
• Measurement of the Positive Muon Anomalous Magnetic Moment to 0.46 ppm
• The anomalous magnetic moment of the muon in the Standard Model
• FeynRules - Feynman rules made easy
• Leading hadronic contribution to the muon magnetic moment from lattice QCD
• The muon $g-2$ and $\alpha (M_Z^2)$: a new data-based analysis
• Reevaluation of the hadronic vacuum polarisation contributions to the Standard Model predictions of the muon g-2 and alpha(mZ) using newest hadronic cross-section data
• The $g-2$ of charged leptons, $\alpha (M_Z^2)$ and the hyperfine splitting of muonium
• Precision measurement of the 7Be solar neutrino interaction rate in Borexino
• Hadronic contribution to the muon anomalous magnetic moment to next-to-next-to-leading order
• Two-pion contribution to hadronic vacuum polarization
• A new evaluation of the hadronic vacuum polarisation contributions to the muon anomalous magnetic moment and to $\mathbf{\alpha }({\mathbf{m}}_{\mathbf{Z}}^2)$
• Neutrino Trident Production: A Powerful Probe of New Physics with Neutrino Beams
• Three-pion contribution to hadronic vacuum polarization
• Addressing the LHC flavour anomalies with horizontal gauge symmetries
• Hunting All the Hidden Photons
• Combined explanations of $(g-2{)}_{\mu ,e}$ and implications for a large muon EDM
• Cosmology With a Very Light $L_{\mu }-L_{\tau }$ Gauge Boson
• Muon Anomalous $g-2$ and Gauged $L_{\mu }-L_{\tau }$ Models
• Gauged L_mu - L_tau Symmetry at the Electroweak Scale
• Gauged $L_{\mu }-L_{\tau }$ with Large Muon Anomalous Magnetic Moment and the Bimaximal Mixing of Neutrinos
• Measuring the leading hadronic contribution to the muon g-2 via $\mu e$ scattering
• Search for a muonic dark force at BABAR
• Coherent Propagation of PeV Neutrinos and the Dip in the Neutrino Spectrum at IceCube
• Model for a Light Z' Boson
• A new approach to evaluate the leading hadronic corrections to the muon g-2
• Vanishing Minors in the Neutrino Mass Matrix from Abelian Gauge Symmetries
• A Flavor Symmetry for quasi-degenerate Neutrinos: L_mu-L_tau
• Neutrino Tridents at DUNE
• Self-interacting dark matter and muon $g-2$ in a gauged U$(1{)}_{L_{\mu }-L_{\tau }}$ model
• Detecting the $L_{\mu }-L_{\tau }$ gauge boson at Belle II
• Probing Muonic Forces and Dark Matter at Kaon Factories
• Gauged $L_{\mu }^{}-L_{\tau }^{}$ at a muon collider
• Z'-induced FCNC decays of top, beauty and strange quarks
• Let there be Light Dark Matter: The gauged $U(1{)}_{L_{\mu }-L_{\tau }}$ case
• Muon g-2 and LHC phenomenology in the $L_{\mu }-L_{\tau }$ gauge symmetric model
• Probing the muon g_μ-2 anomaly, L_μ - L_τ gauge boson and Dark Matter in dark photon experiments
• MeV scale leptonic force for cosmic neutrino spectrum and muon anomalous magnetic moment
• Neutrino Mass, Dark Matter and Anomalous Magnetic Moment of Muon in a $U(1{)}_{L_{\mu }-L_{\tau }}$ Model
• Minimal Gauged U(1)${}_{L_{\alpha }-L_{\beta }}$ Models Driven into a Corner
• Mind the gap on Icecube: Cosmic neutrino spectrum and muon anomalous magnetic moment in the gauged L_μ - L_τ model
• $Z^{\prime }$s in neutrino scattering at DUNE
• Gauged $U(1{)}_{L_{\mu }-L_{\tau }}$ model in light of muon $g-2$ anomaly, neutrino mass and dark matter phenomenology
• Predictions for the neutrino parameters in the minimal gauged U(1)${}_{L_{\mu }-L_{\tau }}$ model
• Solar neutrino probes of the muon anomalous magnetic moment in the gauged $U(1{)}_{L_{\mu }-L_{\tau }}$
• On the possibility of search for $L_{\mu }-L_{\tau }$ gauge boson at Belle-II and neutrino beam experiments
• Confirming $U(1{)}_{L_{\mu }-L_{\tau }}$ as a solution for $(g-2{)}_{\mu }$ with neutrinos
• FIMP and Muon ($g-2$) in a U$(1{)}_{L_{\mu }-L_{\tau }}$ Model
• Muonic Force Behind Flavor Anomalies
• Dark matter and muon $(g-2)$ in local $U(1{)}_{L_{\mu }-L_{\tau }}$-extended Ma Model
• New physics at the MUonE experiment at CERN
• Muon $(g-2)$ and XENON1T Excess with Boosted Dark Matter in $L_{\mu }-L_{\tau }$ Model
• Inelastic Fermion Dark Matter Origin of XENON1T Excess with Muon $(g-2)$ and Light Neutrino Mass
• Prospects in the search for a new light $Z^{\prime }$ boson with the NA64$\mu$ experiment at the CERN SPS
• Predictions for the neutrino parameters in the minimal model extended by linear combination of U(1)${}_{L_e-L_{\mu }}$, U(1)${}_{L_{\mu }-L_{\tau }}$ and U(1)${}_{B-L}$ gauge symmetries
• MUonE sensitivity to new physics explanations of the muon anomalous magnetic moment
• Constraints on $L_{\mu }-L_{\tau }$ Gauge Interactions from Rare Kaon Decay
• The Simplest and Most Predictive Model of Muon $g-2$ and Thermal Dark Matter
• Reconciling dark matter, $R_{K^{(\ast )}}$ anomalies and $(g-2{)}_{\mu }$ in an $L_{\mu }-L_{\tau }$ scenario
• TeV Scale Resonant Leptogenesis with $L_{\mu }-L_{\tau }$ Gauge Symmetry in the Light of Muon $(g-2)$
• Search for U(1)${}_{L_{\mu }-L_{\tau }}$ charged Dark Matter with neutrino telescope
• $L_{\mu }-L_{\tau }$ gauge-boson production from lepton flavor violating $\tau$ decays at Belle II
• Supersymmetric gauged U(1)${}_{L_{\mu }-L_{\tau }}$ model for neutrinos and the muon $(g-2)$ anomaly
• Resolving the Hubble tension in a U(1)${}_{L_{\mu }-L_{\tau }}$ model with Majoron
• Supersymmetric gauged U(1)${}_{L_{\mu }-L_{\tau }}$ model for electron and muon $(g-2)$ anomaly
• Probing $L_{\mu }-L_{\tau }$ models with CE$\nu$NS: A new look at the combined COHERENT CsI and Ar data
• Signatures of supersymmetry and a $L_{\mu }-L_{\tau }$ gauge boson at Belle-II
• Neutrino Masses, Leptonic Flavor Mixing and Muon $(g-2)$ in the Seesaw Model with the $U(1{)}_{L_{\mu }^{}-L_{\tau }^{}}^{}$ Gauge Symmetry
• $U(1{)}_{L_{\mu }-L_{\tau }}$ for Light Dark Matter, $g_{\mu }-2$, the $511$ keV excess and the Hubble Tension
• General Kinetic Mixing in Gauged $U(1{)}_{L_{\mu }-L_{\tau }}$ Model for Muon $g-2$ and Dark Matter
• Leptogenesis in the minimal gauged U(1)${}_{L_{\mu }-L_{\tau }}$ model and the sign of the cosmological baryon asymmetry
• Search for $Z^{{}^{\prime }}\to {\mu }^{+}{\mu }^{-}$ in the $L_{\mu }-L_{\tau }$ gauge-symmetric model at Belle
• Probing the $L_{\mu }-L_{\tau }$ gauge boson at electron colliders
• Searching for scalar boson decaying into light $Z^{\prime }$ boson at collider experiments in $U(1{)}_{L_{\mu }-L_{\tau }}$ model
• The interplay between SM precision, BSM physics and measurements of ${\alpha }_{\mathrm{had}}$ in $\mu$-$e$ scattering
• Kinematical distributions of coherent neutrino trident production in gauged $L_{\mu }-L_{\tau }$ model
• Constraining $U(1{)}_{L_{\mu }-L_{\tau }}$ charged dark matter model for muon $g-2$ anomaly with AMS-02 electron and positron data
• Consequences of an Abelian $Z^{\prime }$ for neutrino oscillations and dark matter
• Scalar dark matter and Muon $g-2$ in a $U(1{)}_{L_{\mu }-L_{\tau }}$ model

Cited by in corpus (10)

• Muon-electron scattering at NNLO
• The LBK theorem to all orders
• Searching for Heavy Leptophilic $Z^{\prime }$: from Lepton Colliders to Gravitational Waves
• Supernova Limits on Muonic Dark Forces
• Dark Photons and Displaced Vertices at the MUonE Experiment
• MUonE, muon $g-2$ and electroweak precision constraints within 2HDMs
• Lepton pair production in muon-nucleus scattering
• The Muon Magnetic Moment and Physics Beyond the Standard Model
• Multiple soft-photon emission at next-to-leading power to all orders
• 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