Abstract
We sketch a novel method to search for light di-leptonic resonances by exploiting precision measurements of Drell-Yan production. Motivated by the recent hints of lepton flavor universality violation in $B\ensuremath{\rightarrow}{K}^{*}{\ensuremath{\ell}}^{+}{\ensuremath{\ell}}^{\ensuremath{-}}$, we illustrate our proposal by studying the case of spin-1 resonances that couple to muons and have masses in the range of a few GeV. We show that the existing LHC data on $pp\ensuremath{\rightarrow}Z/{\ensuremath{\gamma}}^{*}\ensuremath{\rightarrow}{\ensuremath{\mu}}^{+}{\ensuremath{\mu}}^{\ensuremath{-}}$ put nontrivial constraints on light di-muon resonance interpretations of $B$ decay anomalies in a model-independent fashion. The impact of our proposal on the long-standing discrepancy in the anomalous magnetic moment of the muon is also briefly discussed.
Highlights
In the past four years several anomalies have been observed in rare semileptonic B decays governed by b → slþl− transitions
Each deviation by itself is not statistically significant, and the angular observables and branching ratios are afflicted by hadronic uncertainties that obscure the interpretation and significance of the anomalies, it is quite intriguing that the deviations seen in the theoretically clean lepton-universality ratios RK and RKÃ might be part of a coherent picture [12,13,14,16,17] involving new physics in the b → sμþμ− transitions in the form of the two dimensionsix operators Q9 1⁄4 ðsLγαbLÞðμγαμÞ and Q10 1⁄4 ðsLγαbLÞ ðμγαγ5μÞ
Our finding is based on the simple observation that final state radiation (FSR) of a light di-leptonic resonance in pp → Z=γà → lþl− will lead to observable modifications of the kinematic distributions of the lþl− system
Summary
In the past four years several anomalies have been observed in rare semileptonic B decays governed by b → slþl− transitions. Our finding is based on the simple observation that final state radiation (FSR) of a light di-leptonic resonance in pp → Z=γà → lþl− will lead to observable modifications of the kinematic distributions of the lþl− system We will illustrate this general idea by setting limits on the muon couplings of spin-1 resonances with masses in the GeV range by exploiting existing LHC data on the di-muon invariant mass mμμ close to the Z peak. The impact of this novel model-independent bounds on spin-1 mediator interpretations of the anomalies observed in rare semileptonic B decays as well as aμ will be discussed in some detail
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