“Dark”Zimplications for parity violation, rare meson decays, and Higgs physics

Citations Over TimeTop 1% of 2012 papers

Abstract

General consequences of mass mixing between the ordinary $Z$ boson and a relatively light ${Z}_{d}$ boson, the ``dark'' $Z$, arising from a $U(1{)}_{d}$ gauge symmetry, associated with a hidden sector such as dark matter, are examined. New effects beyond kinetic mixing are emphasized. $Z\mathrm{\text{\ensuremath{-}}}{Z}_{d}$ mixing introduces a new source of low energy parity violation well explored by possible future atomic parity violation and planned polarized electron scattering experiments. Rare $K(B)$ meson decays into $\ensuremath{\pi}(K){\ensuremath{\ell}}^{+}{\ensuremath{\ell}}^{\ensuremath{-}}$ ($\ensuremath{\ell}=e$, $\ensuremath{\mu}$) and $\ensuremath{\pi}(K)\ensuremath{\nu}\overline{\ensuremath{\nu}}$ are found to already place tight constraints on the size of $Z\mathrm{\text{\ensuremath{-}}}{Z}_{d}$ mixing. Those sensitivities can be further improved with future dedicated searches at $K$ and $B$ factories as well as binned studies of existing data. $Z\mathrm{\text{\ensuremath{-}}}{Z}_{d}$ mixing can also lead to the Higgs decay $H\ensuremath{\rightarrow}Z{Z}_{d}$, followed by $Z\ensuremath{\rightarrow}{\ensuremath{\ell}}_{1}^{+}{\ensuremath{\ell}}_{1}^{\ensuremath{-}}$ and ${Z}_{d}\ensuremath{\rightarrow}{\ensuremath{\ell}}_{2}^{+}{\ensuremath{\ell}}_{2}^{\ensuremath{-}}$ or ``missing energy,'' providing a potential hidden sector discovery channel at the Large Hadron Collider. An illustrative realization of these effects in a 2 Higgs doublet model is presented.

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