The extension of the Standard Model by a \(U(1)_{L_{\mu }-L_{\tau }}\) gauge group is well studied in the literature to address the discrepancy in the muon anomalous magnetic moment. In this study, we consider the \(U(1)_{L_{\mu }-L_{\tau }}\) gauge group is five-dimensional where multiple associated massive gauge bosons appear, and these bosons contribute to the muon \((g-2)\) with other processes. We focus on the elastic electron-neutrino scattering to probe our model in the MeV-scale regions with the help of CHARM-II, BOREXINO, and the upcoming DUNE near detector (DUNE ND) experiment. Even with small kinetic mixing parameters, much of the parameter space, including those satisfying muon \((g-2)\) , can be probed using several years of data from the DUNE ND experiment. In our scenario, interference effects among intermediate-state gauge bosons play an important role. Our results show the comparisons between flat and warped extra dimensions as the sensitivity from the experiments can substantially depend on the geometry of the compactification.

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Probing a Five Dimensional \({L_\mu -L_\tau }\) Model via Elastic Electron-Neutrino Scattering Processes

  • Dibyendu Chakraborty,
  • Arindam Chatterjee,
  • Ayushi Kaushik,
  • Kenji Nishiwaki

摘要

The extension of the Standard Model by a \(U(1)_{L_{\mu }-L_{\tau }}\) gauge group is well studied in the literature to address the discrepancy in the muon anomalous magnetic moment. In this study, we consider the \(U(1)_{L_{\mu }-L_{\tau }}\) gauge group is five-dimensional where multiple associated massive gauge bosons appear, and these bosons contribute to the muon \((g-2)\) with other processes. We focus on the elastic electron-neutrino scattering to probe our model in the MeV-scale regions with the help of CHARM-II, BOREXINO, and the upcoming DUNE near detector (DUNE ND) experiment. Even with small kinetic mixing parameters, much of the parameter space, including those satisfying muon \((g-2)\) , can be probed using several years of data from the DUNE ND experiment. In our scenario, interference effects among intermediate-state gauge bosons play an important role. Our results show the comparisons between flat and warped extra dimensions as the sensitivity from the experiments can substantially depend on the geometry of the compactification.