A global analysis of $$b \rightarrow s \ell \ell $$ data in heavy and light $$Z'$$ models
Ashutosh Alok (Indian Institute of Technology Jodhpur, Jodhpur, 342037, India); Neetu Chundawat (Indian Institute of Technology Jodhpur, Jodhpur, 342037, India); Shireen Gangal (LAPTh, Universite Savoie Mont-Blanc et CNRS, Annecy, France); Dinesh Kumar (Department of Physics, University of Rajasthan, Jaipur, 302004, India)
We perform a model-independent global fit to all $$b \rightarrow s \ell \ell $$ data in the light of recent measurements of the lepton flavour universality violating (LFUV) observables $$R_{K_S^0}$$ , $$R_{K^{*+}}$$ , and the updated observables in $$B_s \rightarrow \phi \mu ^+ \mu ^-$$ decay, by the LHCb collaboration. Assuming NP only in the muon sector, we find that the 1D NP scenarios $$C_9^{\textrm{NP}} <0 $$ and $$C_{9}^{\textrm{NP}}=-C_{10}^{\textrm{NP}}$$ continue to be the most favoured ones. However, the significance of the favoured scenario $$C_{9}^{\textrm{NP}}=-C'_{9}$$ has reduced and the updated data now marginally prefers $$C_{10}^{\textrm{NP}} > 0$$ scenario. The 2D scenarios $$(C_9^{\textrm{NP}}, C_{10}^{\prime } )$$ , $$(C_9^{\textrm{NP}}, C_{9}^{\prime } )$$ and $$(C_9^{\textrm{NP}}, C_{10}^{\textrm{NP}} )$$ , continue to be favoured by the data in the listed order. We analyse generic TeV scale $$Z'$$ models which can generate the 1D scenarios, $$C_9^{\textrm{NP}} <0 $$ and $$C_9^{\textrm{NP}} = -C_{10}^{\textrm{NP}}$$ as well as 2D scenarios $$(C_9^{\textrm{NP}}, C_{9}^{\prime } )$$ and $$(C_9^{\textrm{NP}}, C_{10}^{\textrm{NP}} )$$ . We find that all four models provide an equally good fit to the data. We also consider a model with a 25 MeV $$Z'$$ that couples to muons only and has a $$q^2$$ dependent $$b - s$$ coupling. We study the implications of the current data on the LFUV observables $$R_{\phi }$$ , $$Q_{4,5}$$ as well as $$R_{K^{(*)}}$$ in the high $$q^2$$ . We find that the $$Q_{4,5}$$ observables have a potential to discriminate between a few favored solutions, and disentangle different heavy and light $$Z'$$ scenarios.