A Stueckelberg Extension of the Standard Model

Abstract

An extension of the standard model of electro-weak interactions by an extra abelian gauge boson is given, in which the extra gauge boson and the hypercharge gauge boson both couple to an axionic scalar in a form that leads to a Stueckelberg mass term. The theory leads to a massive Z${}^{\prime }$ whose couplings to fermions are uniquely determined and suppressed by small mixing angles. Such a Z${}^{\prime }$ could have low mass and appear in $e^{+}{e}^{-}$ collisions as a sharp resonance. The branching ratios into $f\bar{f}$ species, and the forward-backward asymmetry are found to have distinctive features. The model also predicts a new unit of electric charge $e^{\prime }=Q^{\prime }e$, where $Q^{\prime }$ is in general irrational, in the coupling of the photon with hidden matter that is neutral under $SU(2{)}_L\times U(1{)}_Y$.

arXiv comment8 pages, no figures. To appear in Physics Letters B

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