{ "id": "1702.01497", "version": "v1", "published": "2017-02-06T05:07:43.000Z", "updated": "2017-02-06T05:07:43.000Z", "title": "Cornering the $L_μ-L_τ$ gauge boson at Belle-II", "authors": [ "Takeshi Araki", "Shihori Hoshino", "Toshihiko Ota", "Joe Sato", "Takashi Shimomura" ], "comment": "10 pages, 10 figures", "categories": [ "hep-ph", "hep-ex" ], "abstract": "We discuss the feasibility of detecting the gauge boson of the $U(1)_{L_{\\mu}-L_{\\tau}}$ symmetry, which possesses a mass in the range between MeV and GeV, at the Belle-II experiment. The kinetic mixing between the new gauge boson $Z'$ and photon is forbidden at the tree level and is radiatively induced. The leptonic force mediated by such a light boson is motivated by the discrepancy in muon anomalous magnetic moment and also the gap in the energy spectrum of cosmic neutrino. Defining the process $e^{+} e^{-} \\rightarrow \\gamma Z' \\rightarrow \\gamma \\nu \\bar{\\nu}~(missing~energy)$ to be the signal, we estimate the numbers of the signal and the background events and show the parameter region to which the Belle-II experiment will be sensitive. The signal process in the $L_{\\mu}-L_{\\tau}$ model is enhanced with a light $Z'$, which is a characteristic feature differing from the dark photon models with a constant kinetic mixing. We find that the Belle-II experiment with the design luminosity will be sensitive to the $Z'$ with the mass $M_{Z'} \\lesssim 1 $ GeV and the new gauge coupling $g_{Z'} \\gtrsim 8\\cdot 10^{-4}$, which covers a half of the unconstrained parameter region that explains the discrepancy in muon anomalous magnetic moment. The possibilities to improve the significance of the detection are also discussed.", "revisions": [ { "version": "v1", "updated": "2017-02-06T05:07:43.000Z" } ], "analyses": { "keywords": [ "gauge boson", "muon anomalous magnetic moment", "belle-ii experiment", "parameter region", "dark photon models" ], "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable" } } }