Decays $Z\to \gamma \gamma$ and $Z\to gg$ in the Standard Model Extension

Abstract

The $Z\to \gamma \gamma$ and $Z\to gg$ decays are studied in the context of the renormalizable version of the Standard Model Extension. The $CPT$-odd $\bar{\psi }{\gamma }_5{\gamma }^{\mu }{b}_{\mu }\psi$ bilinear interaction, which involves the constant background field $b_{\alpha }$ and which has been a subject of interest in literature, is considered. It is shown that the $Z\to \gamma \gamma$ and $Z\to gg$ decays, which are strictly zero in the standard model, can be generated radiatively at the one-loop level. It is found that these decays are gauge invariant and free of ultraviolet divergences, and that the corresponding decay widths only depend on the spatial component of the background field $b$.

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• General CPT-even dimension-five nonminimal couplings between fermions and photons yielding EDM and MDM
• Constraining CPT-odd nonminimal interactions in the Electroweak sector
• Testing Lorentz-symmetry violation via electroweak decays
• Bounds on Lorentz-violating Yukawa couplings via lepton electromagnetic moments
• Constraining dimension-six nonminimal Lorentz-violating electron-nucleon interactions with EDM physics
• Higgs $p_t$ distribution in Higgs + jet production at hadron colliders within the noncommutative effective standard model
• Constraining EDM and MDM lepton dimension five interactions in the electroweak sector