Implications of hidden gauged $U(1)$ model for $B$ anomalies

Abstract

We propose a hidden gauged $U(1{)}_H$ $Z^{\prime }$ model to explain deviations from the Standard Model (SM) values in lepton flavor universality known as $R_K$ and $R_D$ anomalies. The $Z^{\prime }$ only interacts with the SM fermions via their mixing with vector-like doublet fermions after the $U(1{)}_H$ symmetry breaking, which leads to $b\to s\mu \mu$ transition through the $Z^{\prime }$ at tree level. Moreover, introducing an additional mediator, inert-Higgs doublet, yields $b\to c\tau \nu$ process via charged scalar contribution at tree level. Using flavio package, we scrutinize adequate sizes of the relevant Wilson coefficients to these two processes by taking various flavor observables into account. It is found that significant mixing between the vector-like and the second generation leptons is needed for the $R_K$ anomaly. A possible explanation of the $R_D$ anomaly can also be simultaneously addressed in a motivated situation, where a single scalar operator plays a dominant role, by the successful model parameters for the $R_K$ anomaly.

34 pages, 14 figures, 4 tables

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• Gauging the accidental symmetries of the Standard Model, and implications for the flavour anomalies
• Muonic Force Behind Flavor Anomalies
• Collider Constraints on $Z^{\prime }$ Models for Neutral Current $B-$Anomalies
• Revisit to the $b\to c\tau \nu$ transition: in and beyond the SM
• Test of the $R(D^{(\ast )})$ anomaly at the LHC
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• Dark matter for $b\to s{\mu }^{+}{\mu }^{-}$ anomaly in a gauged $U(1{)}_X$ model
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• Global Fits of Third Family Hypercharge Models to Neutral Current B-Anomalies and Electroweak Precision Observables
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• CP-violating Dark Photon Interaction
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• Impact of electroweak group representation in models for $B$ and $g-2$ anomalies from Dark Loops
• A Flavorful Composite Higgs Model : Connecting the B anomalies with the hierarchy problem
• Rare nonleptonic ${\bar{B}}_s^0$ decays as probes of new physics behind $b\to s\mu \bar{\mu }$ anomalies
• Hide and Seek with the Third Family Hypercharge Model's $Z^{\prime }$ at the Large Hadron Collider
• Frugal $U(1{)}_X$ models with non-minimal flavor violation for $b\to s\ell \ell$ anomalies and neutrino mixing