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Search for a light muon-philic $Z^\prime$ with the NA64-$e$ experiment at CERN

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arxiv 2206.03101 v3 pith:VXRYVDO5 submitted 2022-06-07 hep-ex hep-ph

Yu. M. Andreev , D. Banerjee , B. Banto Oberhauser , J. Bernhard , P. Bisio , M. Bondì , V. E. Burtsev , A. Celentano
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N. Charitonidis A. G. Chumakov D. Cooke P. Crivelli E. Depero A. V. Dermenev S. V. Donskov R.R. Dusaev T. Enik V. N. Frolov A. Gardikiotis S. G. Gerassimov S. N. Gninenko M. Hösgen M. Jeckel V. A. Kachanov A. E. Karneyeu G. Kekelidze B. Ketzer D. V. Kirpichnikov M. M. Kirsanov V. N. Kolosov I. V. Konorov S. G. Kovalenko V. A. Kramarenko L. V. Kravchuk N. V. Krasnikov S. V. Kuleshov V. E. Lyubovitskij V. Lysan L. Marsicano V. A. Matveev Yu. V. Mikhailov L. Molina Bueno D. V. Peshekhonov V. A. Polyakov B. Radics R. Rojas A. Rubbia K. M. Salamatin V. D. Samoylenko H. Sieber D. Shchukin V. O. Tikhomirov I. Tlisova A. N. Toropin A. Yu Trifonov P. Ulloa B. I. Vasilishin G. Vasquez Arenas P. V. Volkov V. Yu. Volkov I. Voronchikhin
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classification hep-exhep-ph
keywords primeelectronslightna64-cernexperimentlimitsmodel
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

The extension of Standard Model made by inclusion of additional $U(1)$ gauge $L_\mu-L_\tau$ symmetry can explain the difference between the measured and the predicted value of the muon magnetic moment and solve the tension in $B$ meson decays. This model predicts the existence of a new, light $Z^\prime$ vector boson, predominantly coupled to second and third generation leptons, whose interaction with electrons is due to a loop mechanism involving muons and taus. In this work, we present a rigorous evaluation of the upper limits in the $Z^\prime$ parameter space, obtained from the analysis of the data collected by the NA64-$e$ experiment at CERN SPS, that performed a search for light dark matter with $2.84\times10^{11}$ electrons impinging with 100 GeV on an active thick target. The resulting limits, despite being included in a region already investigated by neutrino experiments,touch the muon $g-2$ preferred band for values of the $Z^\prime$ mass of order of 1 MeV. The sensitivity projections for the future high-statistics NA64-$e$ runs demonstrate the power of the electrons/positron beam approach in this theoretical scenario.

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