LHCb anomaly in $\mathbf{B}\to {\mathbf{K}}^{\ast }{\mathbf{\mu }}^{+}{\mathbf{\mu }}^{-}$ optimised observables and potential of ${\mathbf{Z}}^{\prime }$ Model

Abstract

Over the last few years LHCb with present energies found some discrepancies in $b\to s{\ell }^{+}{\ell }^{-}$ FCNC transitions including anomalies in the angular observables of $B\to K^{\ast }{\mu }^{+}{\mu }^{-}$, particularly in $P_5^{\prime }$, in low dimuon mass region. Recently, these anomalies are confirmed by Belle, CMS and ATLAS. As the direct evidence of physics beyond-the-SM is absent so far, therefore, these anomalies are being interpreted as indirect hint of new physics. In this context, we study the implication of non universal family of $Z^{\prime }$ model to the angular observables $P_{1,2,3}$, $P_{4,5,6}^{\prime }$ and newly proposed lepton flavor universality violation observables, $Q_{4,5}$, in $B\to K^{\ast }(\to K\pi ){\mu }^{+}{\mu }^{-}$ decay channel in the low dimuon mass region. To see variation in the values of these observables from their standard model values, we have chosen the different scenarios of the $Z^{\prime }$ model. It is found that these angular observables are sensitive to the values of the parameters of $Z^{\prime }$ model. We have also found that with the present parametric space of $Z^{\prime }$ model, the $P_5^{\prime }$-anomaly could be accommodated. However, more statistics on the anomalies in the angular observables are helpful to reveal the status of the considered model and, in general, the nature of new physics.

15 pages, 5 figures. To be published in Chinese Physics C

References in corpus (15)

• Test of lepton universality using $B^{+}\to K^{+}{\ell }^{+}{\ell }^{-}$ decays
• Estimate of BR(B -> X_s gamma) at O(alpha_s^2)
• Angular analysis of the $B^0\to K^{\ast 0}{\mu }^{+}{\mu }^{-}$ decay using $3\,\mbox{fb}^{-1}$ of integrated luminosity
• $R_K$ and future $b\to s\ell \ell$ BSM opportunities
• B->V gamma Beyond QCD Factorisation
• Strong constraints on the rare decays Bs -> mu+ mu- and B0 -> mu+ mu-
• Z' models for the LHCb and g-2 muon anomalies
• Z-Z' Mixing and Z-Mediated FCNCs in SU(3)_C x SU(3)_L x U(1)_X Models
• New physics reach of the decay mode $\bar{B}\to {\bar{K}}^{\ast 0}{\ell }^{+}{\ell }^{-}$
• Constraints on flavor-changing Z' models by B_s mixing, Z' production, and B_s -> μ^+ μ^-
• Analytic calculation of two-loop QCD corrections to b\to s\ell^+\ell^- in the high q^2 region
• Family Non-universal $U(1{)}^{\prime }$ Gauge Symmetries and $b\to s$ Transitions
• Supersymmetric constraints from Bs -> mu+mu- and B -> K* mu+mu- observables
• Explaining B \to K pi anomaly with non-universal Z' boson
• Annihilation-Type Charmless Radiative Decays of B Meson in Non-universal Z^\prime Model

Cited by in corpus (4)

• Testing Leptoquark and $Z^{\prime }$ Models via $B\to K_1(1270,1400){\mu }^{+}{\mu }^{-}$ Decays
• Implication of family non-universal $Z^{\prime }$ model to rare exclusive $b\to s(l\bar{l},\nu \bar{\nu })$ transitions
• Study Standard Model and Majorana Neutrino Contributions to $B^{+}\to K^{(\ast )\pm }{\mu }^{+}{\mu }^{\mp }$
• Investigation of rare semileptonic $B_c$ decays into $(D_{(}s,d{)}^{(}(\ast ))){\mu }^{+}{\mu }^{-}$ decays with non-universal $Z^{\prime }$ effect