Secluded U(1) below the weak scale

By M. Pospelov. 2008

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A secluded U(1) sector with weak admixture to photons, O(10{sup -2}-10{sup -3}), and the scale of the breaking below 1 GeV represents a natural yet poorly constrained extension of the standard model. We analyze g-2 of muons and electrons together with other precision QED data, as well as radiative decays of strange particles to constrain the mass-mixing angle (m{sub V}-{kappa}) parameter space. We point out that m{sub V}{approx_equal}214 MeV and {kappa}{sup 2}>3x10{sup -5} can be consistent with the hypothesis of the HyperCP Collaboration, which seeks to explain the anomalous energy distribution of muon pairs in the {sigma}{sup +}{yields}p{mu}{sup +}{mu}{sup -} process by a resonance, without direct contradiction to the existing data on radiative kaon decays. The same parameters lead to an O(fewx10{sup -9}) upward correction to the anomalous magnetic moment of the muon, possibly relaxing some tension between the experimental value and theoretical determinations of g-2. The ultrafine energy resolution scan of the e{sup +}e{sup -}{yields}{mu}{sup +}{mu}{sup -} cross section and dedicated analysis of lepton spectra from K{sup +}{yields}{pi}{sup +}e{sup +}e{sup -} decays should be able to provide a conclusive test of this hypothesis and improve the constraints on the model.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/f4268f98331bd10a567d6c26c61dbc57b9ec6770

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