$R_{K^{(\ast )}}$ and related $b\to s\ell \bar{\ell }$ anomalies in minimal flavor violation framework with $Z^{\prime }$ boson

Abstract

A recent LHCb measurement of the ratio $R_{K^{\ast }}$ of $B\to K^{\ast }\mu \bar{\mu }$ to $B\to K^{\ast }e\bar{e}$ branching fractions has produced results in mild tension with the standard model (SM). This adds to the known anomalies also induced by the $b\to s\ell \bar{\ell }$ transitions, resulting in a confidence level now as high as 4$\sigma$. We analyze whether the parameter space preferred by all the $b\to s\ell \bar{\ell }$ anomalies is compatible with a heavy $Z^{\prime }$ boson assumed to have nonuniversal couplings to SM fermions dictated by the principle of minimal flavor violation (MFV). We deal with the MFV couplings of the $Z^{\prime }$ to leptons in the context of the type-I seesaw scenario for generating neutrino masses. The flavor-violating $Z^{\prime }$ interactions are subject to stringent constraints from other processes, especially $B$-$\bar{B}$ mixing, charged lepton decays ${\ell }_i\to {\ell }_j{\ell }_k{\bar{\ell }}_l$ occurring at tree level, and the loop induced $\mu \to e\gamma$. We perform scans for parameter regions allowed by various data and predict the ranges for a number of observables. Some of the predictions, such as the branching fractions of lepton-flavor violating $\tau \to 3\mu$, $B\to Ke\mu$, $K_L\to e\mu$, and $Z\to \ell {\ell }^{\prime }$, are not far below their experimental bounds and therefore could be probed by searches in the near future. The viable parameter space depends strongly on the neutrino mass hierarchy, with a preference for the inverted one.

25 pages, 5 figures, slightly enlarged, comments & references added, matches journal version

References in corpus (48)

• Test of lepton universality using $B^{+}\to K^{+}{\ell }^{+}{\ell }^{-}$ decays
• Test of lepton universality with $B^0\to K^{\ast 0}{\ell }^{+}{\ell }^{-}$ decays
• Updated fit to three neutrino mixing: exploring the accelerator-reactor complementarity
• Updated NNLO QCD predictions for the weak radiative B-meson decays
• Addressing the LHC flavour anomalies with horizontal gauge symmetries
• Flavour anomalies after the $R_{K^{\ast }}$ measurement
• Interpreting Hints for Lepton Flavor Universality Violation
• Minimal Flavour Seesaw Models
• Current status of the Standard Model CKM fit and constraints on $\Delta F=2$ New Physics
• $SU(2)\times U(1)$ gauge invariance and the shape of new physics in rare $B$ decays
• Towards the discovery of new physics with lepton-universality ratios of $b\to s\ell \ell$ decays
• General Minimal Flavor Violation
• High-$p_T$ dilepton tails and flavour physics
• Explaining Dark Matter and $B$ Decay Anomalies with an $L_{\mu }-L_{\tau }$ Model
• $R_K$ and $R_{K^{\ast }}$ beyond the Standard Model
• Simultaneous Explanation of the $R_K$ and $R_{D^{(\ast )}}$ Puzzles: a Model Analysis
• New Physics in $b\to s{\mu }^{+}{\mu }^{-}$ after the Measurement of $R_{K^{\ast }}$
• Lepton universality violation and lepton flavor conservation in $B$-meson decays
• Status of the $B\to K^{\ast }{\mu }^{+}{\mu }^{-}$ anomaly after Moriond 2017
• Reconsidering the One Leptoquark solution: flavor anomalies and neutrino mass
• What is the scale of new physics behind the $B$-flavour anomalies?
• Flavoured $B-L$ Local Symmetry and Anomalous Rare $B$ Decays
• Supersymmetric models with minimal flavour violation and their running
• Gauge-invariant implications of the LHCb measurements on Lepton-Flavour Non-Universality
• A leptoquark model to accommodate $R_K^{\exp }<R_K^{\mathrm{SM}}$ and $R_{K^{\ast }}^{\exp }<R_{K^{\ast }}^{\mathrm{SM}}$
• On the Importance of Electroweak Corrections for B Anomalies
• Various definitions of Minimal Flavour Violation for Leptons
• Explaining the $R_K$ and $R_{K^{\ast }}$ anomalies
• Search for the decays $B_s^0\to {\tau }^{+}{\tau }^{-}$ and $B^0\to {\tau }^{+}{\tau }^{-}$
• Minimal flavor-changing $Z^{\prime }$ models and muon $g-2$ after the $R_{K^{\ast }}$ measurement
• The Anatomy of Z' and Z with Flavour Changing Neutral Currents in the Flavour Precision Era
• Role of Tensor operators in $R_K$ and $R_{K^{\ast }}$
• Anomaly-free local horizontal symmetry and anomaly-full rare B-decays
• Minimal flavour violation extensions of the seesaw
• Probing Lepton Flavour Universality with $K\to \pi \nu \bar{\nu }$ decays
• Experiments with K-Meson Decays
• Explaining $B\to K^{(\ast )}{\ell }^{+}{\ell }^{-}$ anomaly by radiatively induced coupling in $U(1{)}_{\mu -\tau }$ gauge symmetry
• In Pursuit of New Physics with $B_{s,d}^0\to {\ell }^{+}{\ell }^{-}$
• Spin effects in rare $B\to X_s{\tau }^{+}{\tau }^{-}$ and $B\to K^{(\ast )}{\tau }^{+}{\tau }^{-}$ decays in a single Universal Extra Dimension scenario
• Revisiting Minimal Lepton Flavour Violation in the Light of Leptonic CP Violation
• On Light Resonance Interpretations of the B Decay Anomalies
• Phenomenology of flavorful composite vector bosons in light of $B$ anomalies
• Future prospects for exploring present day anomalies in flavour physics measurements with Belle II and LHCb
• Fermion EDMs with Minimal Flavor Violation
• Analysis of B_s->ϕ\ell^+ \ell^- decay with new physics effects
• Seesaw Models with Minimal Flavor Violation
• Direct comparison of global fits to the B ->$K^{\ast }$${\mu }^{+}{\mu }^{-}$ data assuming hadronic corrections or new physics
• A Natural extra-dimensional origin for the LHCb anomalies

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