Global Analysis of Leptophilic Z' Bosons

Abstract

New neutral heavy gauge bosons ($Z^{\prime }$) are predicted within many extensions of the Standard Model. While in case they couple to quarks the LHC bounds are very stringent, leptophilic $Z^{\prime }$ bosons (even with sizable couplings) can be much lighter and therefore lead to interesting quantum effects in precision observables (like $(g-2{)}_{\mu }$) and generate flavour violating decays of charged leptons. In particular, $\ell \to {\ell }^{\prime }\nu \bar{\nu }$ decays, anomalous magnetic moments of charged leptons, $\ell \to {\ell }^{\prime }\gamma$ and $\ell \to 3{\ell }^{\prime }$ decays place stringent limits on leptophilic $Z^{\prime }$ bosons. Furthermore, in case of mixing $Z^{\prime }$ with the SM $Z$, $Z$ pole observables are affected. In light of these many observables we perform a global fit to leptophilic $Z^{\prime }$ models with the main goal of finding the bounds for the $Z^{\prime }$ couplings to leptons. To this end we consider a number of scenarios for these couplings. While in generic scenarios correlations are weak, this changes once additional constraints on the couplings are imposed. In particular, if one considers an $L_{\mu }-L_{\tau }$ symmetry broken only by left-handed rotations, or considers the case of $\tau -\mu$ couplings only. In the latter setup, on can explain the $(g-2{)}_{\mu }$ anomaly and the hint for lepton flavour universality violation in $\tau \to \mu \nu \bar{\nu }/\tau \to e\nu \bar{\nu }$ without violating bounds from electroweak precision observables.

arXiv comment48 pages, 17 figures

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