A global analysis of data in heavy and light models

Ashutosh Kumar Alok; Neetu Raj Singh Chundawat; Shireen Gangal; Dinesh Kumar

doi:10.1140/epjc/s10052-022-10816-w

2024 Impact factor 4.8

Particles and Fields

Open Access

Eur. Phys. J. C (2022) 82: 967
https://doi.org/10.1140/epjc/s10052-022-10816-w

Regular Article - Theoretical Physics

A global analysis of $b \to s ℓ ℓ$ $b \rightarrow s \ell \ell$ data in heavy and light $Z^{'}$ models

Ashutosh Kumar Alok¹, Neetu Raj Singh Chundawat¹, Shireen Gangal²^c and Dinesh Kumar³

¹ Indian Institute of Technology Jodhpur, 342037, Jodhpur, India
² LAPTh, Universite Savoie Mont-Blanc et CNRS, Annecy, France
³ Department of Physics, University of Rajasthan, 302004, Jaipur, India

^c gangal@lapth.cnrs.fr

Received: 11 April 2022
Accepted: 18 September 2022
Published online: 29 October 2022

Abstract

We perform a model-independent global fit to all $b \to s ℓ ℓ$ $b \rightarrow s \ell \ell$ data in the light of recent measurements of the lepton flavour universality violating (LFUV) observables $R_{K_{S}^{0}}$ $R_{K_S^0}$ , $R_{K^{* +}}$ $R_{K^{*+}}$ , and the updated observables in $B_{s} \to ϕ μ^{+} μ^{-}$ $B_s \rightarrow \phi \mu ^+ \mu ^-$ decay, by the LHCb collaboration. Assuming NP only in the muon sector, we find that the 1D NP scenarios $C_{9}^{NP} < 0$ $C_9^{\textrm{NP}} <0$ and $C_{9}^{NP} = - C_{10}^{NP}$ $C_{9}^{\textrm{NP}}=-C_{10}^{\textrm{NP}}$ continue to be the most favoured ones. However, the significance of the favoured scenario $C_{9}^{NP} = - C_{9}^{'}$ $C_{9}^{\textrm{NP}}=-C'_{9}$ has reduced and the updated data now marginally prefers $C_{10}^{NP} > 0$ $C_{10}^{\textrm{NP}} > 0$ scenario. The 2D scenarios $(C_{9}^{NP}, C_{10}^{'})$ $(C_9^{\textrm{NP}}, C_{10}^{\prime } )$ , $(C_{9}^{NP}, C_{9}^{'})$ $(C_9^{\textrm{NP}}, C_{9}^{\prime } )$ and $(C_{9}^{NP}, C_{10}^{NP})$ $(C_9^{\textrm{NP}}, C_{10}^{\textrm{NP}} )$ , continue to be favoured by the data in the listed order. We analyse generic TeV scale $Z^{'}$ $$Z'$$ models which can generate the 1D scenarios, $C_{9}^{NP} < 0$ $C_9^{\textrm{NP}} <0$ and $C_{9}^{NP} = - C_{10}^{NP}$ $C_9^{\textrm{NP}} = -C_{10}^{\textrm{NP}}$ as well as 2D scenarios $(C_{9}^{NP}, C_{9}^{'})$ $(C_9^{\textrm{NP}}, C_{9}^{\prime } )$ and $(C_{9}^{NP}, C_{10}^{NP})$ $(C_9^{\textrm{NP}}, C_{10}^{\textrm{NP}} )$ . We find that all four models provide an equally good fit to the data. We also consider a model with a 25 MeV $Z^{'}$ $$Z'$$ that couples to muons only and has a $q^{2}$ $$q^2$$ dependent $b - s$ $$b - s$$ coupling. We study the implications of the current data on the LFUV observables $R_{ϕ}$ $R_{\phi }$ , $Q_{4, 5}$ $Q_{4,5}$ as well as $R_{K^{(*)}}$ $R_{K^{(*)}}$ in the high $q^{2}$ $$q^2$$ . We find that the $Q_{4, 5}$ $Q_{4,5}$ observables have a potential to discriminate between a few favored solutions, and disentangle different heavy and light $Z^{'}$ $$Z'$$ scenarios.

© The Author(s) 2022

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