Restrained Dark $U(1{)}_d$ at Low Energies

Abstract

We investigate a spontaneously broken $U(1{)}_d$ gauge symmetry with a muon-specific dark Higgs. Our first goal is to verify how the presence of a new dark Higgs, $\varphi$, and a dark gauge boson, $V$, can simultaneously face the anomalies from the muon magnetic moment and the proton charge radius. Secondly, by assuming that $V$ must decay to an electron-positron pair, we explore the corresponding parameter space determined with the low energy constraints coming from $K\to \mu X$, electron $(g-2{)}_e$, $K\to \mu {\nu }_{\mu }{e}^{+}{e}^{-}$, $K\to \mu {\nu }_{\mu }{\mu }^{+}{\mu }^{-}$, $\tau \to {\nu }_{\tau }\mu {\nu }_{\mu }{e}^{+}{e}^{-}$. We focus in the scenario where the $V$ mass is below $\sim 2m_{\mu }$ and the $\varphi$ mass runs from few MeV till $250$ MeV, with V-photon mixing of the order $\sim \mathcal{O}(10^{-3})$. Among weak process at low energies, we check the influence of the new light vector on kaon decays as well as on the scattering $e^{+}{e}^{-}\to {\mu }^{+}{\mu }^{-}{e}^{+}{e}^{-}$ and discuss the impact of the dark Higgs on $e^{+}{e}^{-}\to {\mu }^{+}{\mu }^{-}{\mu }^{+}{\mu }^{-}$. Finally, we consider contributions of the V-photon mixing in the decays ${\pi }^0\to \gamma e^{+}{e}^{-}$, $\eta \to \gamma e^{+}{e}^{-}$, $\rho \to \pi e^{+}{e}^{-}$, $K^{\ast }\to K{e}^{+}{e}^{-}$ and $\varphi (1020)\to \eta e^{+}{e}^{-}$.

13 pages, 10 figures

References in corpus (17)

• A Theory of Dark Matter
• Secluded U(1) below the weak scale
• New determination of the fine structure constant and test of the quantum electrodynamics
• Search for a dark photon in e+e- collisions at BABAR
• U-boson production in e+e- annihilations, psi and Upsilon decays, and Light Dark Matter
• Probing a Secluded U(1) at B-factories
• The Proton Radius Puzzle
• Search for light massive gauge bosons as an explanation of the $(g-2{)}_{\mu }$ anomaly at MAMI
• Constraints on sub-GeV hidden sector gauge bosons from a search for heavy neutrino decays
• The Standard Model prediction for R_{e/mu}^{(pi,K)}
• Muonic hydrogen and MeV forces
• New Parity-Violating Muonic Forces
• Search for light vector boson production in $e^{+}{e}^{-}\to {\mu }^{+}{\mu }^{-}\gamma$ interactions with the KLOE experiment
• Proton size anomaly
• Supersymmetric U(1)B x U(1)L model with leptophilic and leptophobic cold dark matters
• Pure Leptonic Gauge Symmetry, Neutrino Masses and Dark Matter
• Muon g-2 Anomaly and Dark Leptonic Gauge Boson

Cited by in corpus (1)

• Probing a dark photon using rare leptonic kaon and pion decays