Explaining $h\to {\mu }^{\pm }{\tau }^{\mp }$, $B\to K^{\ast }{\mu }^{+}{\mu }^{-}$ and $B\to K{\mu }^{+}{\mu }^{-}/B\to K{e}^{+}{e}^{-}$ in a two-Higgs-doublet model with gauged $L_{\mu }-L_{\tau }$

Abstract

The LHC observed so far three deviations from the Standard Model (SM) predictions in flavour observables: LHCb reported anomalies in $B\to K^{\ast }{\mu }^{+}{\mu }^{-}$ and $R(K)=B\to K{\mu }^{+}{\mu }^{-}/B\to K{e}^{+}{e}^{-}$ while CMS found an excess in $h\to \mu \tau$. We show, for the first time, how these deviations from the SM can be explained within a single well-motivated model: a two-Higgs-doublet model with gauged $L_{\mu }-L_{\tau }$ symmetry. We find that, despite the constraints from $\tau \to \mu \mu \mu$ and $B_s$--${\overline{B}}_s$ mixing, one can explain $h\to \mu \tau$, $B\to K^{\ast }{\mu }^{+}{\mu }^{-}$ and $R(K)$ simultaneously, obtaining interesting correlations among the observables.

arXiv comment6 pages, 2 figures, corrected formula for LFV tau decay with new HFAG limit. References added, accepted for publication in PRL

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• Flavour Anomalies in $b\to s{\ell }^{+}{\ell }^{-}$ Processes - a round table Discussion
• A Flavorful Composite Higgs Model : Connecting the B anomalies with the hierarchy problem
• Model-independent analysis on $R(K^{(\ast )})$
• New physics in $\text{b}\to \text{s}$ transitions in the MF331 model
• Search for a new $Z^{\prime }$ gauge boson via the $pp\to W^{\pm (\ast )}\to Z^{\prime }{\mu }^{\pm }\nu \to {\mu }^{\pm }{\mu }^{\mp }{\mu }^{\pm }\nu$ process in $pp$ collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
• Muon $g-2$ and semileptonic $B$ decays in Bélanger-Delaunay-Westhoff model with gauge kinetic mixing
• Dark sectors and enhanced $h\to \tau \mu$ transitions
• Rare nonleptonic ${\bar{B}}_s^0$ decays as probes of new physics behind $b\to s\mu \bar{\mu }$ anomalies
• Gauging lepton flavor SU(3) for the muon $g-2$
• Impact of lepton flavour universality violation on CP violation sensitivity of long baseline neutrino oscillation experiments
• Neutrinophilic DM annihilation in a model with $U(1{)}_{L_{\mu }-L_{\tau }}\times U(1{)}_H$ gauge symmetry
• Hide and Seek with the Third Family Hypercharge Model's $Z^{\prime }$ at the Large Hadron Collider
• Probing chirality structure in lepton-flavour-violating Higgs decay $h\to \tau \mu$ at the LHC
• $R_{K^{(\ast )}}$ from RPV-SUSY sneutrinos
• A multi-charged particle model with local $U(1{)}_{\mu -\tau }$ to explain muon $g-2$, flavor physics, and possible collider signature
• Dark Matter phenomenology : from simplified WIMP models to refined alternative solutions
• $R_{K^{(\ast )}}$ anomaly in type-III 2HDM
• Rare decays of b hadrons
• Test of lepton flavour universality with $B^{+}\to K^{+}{\pi }^{+}{\pi }^{-}{\ell }^{+}{\ell }^{-}$ decays
• Assessing Lepton Flavor Universality Violations in Semileptonic Decays
• New physics in $b\to s{e}^{+}{e}^{-}$: A model independent analysis
• B meson decay anomaly with a non-universal U(1)' extension
• TeV-scale vector leptoquark from Pati-Salam unification with vectorlike families
• Explaining the $b\to s{\ell }^{+}{\ell }^{-}$ anomalies in $Z^{\prime }$ scenarios with top-FCNC couplings
• Frugal $U(1{)}_X$ models with non-minimal flavor violation for $b\to s\ell \ell$ anomalies and neutrino mixing
• Testing spin-2 mediator by angular observables in $b\to s{\mu }^{+}{\mu }^{-}$
• Explaining the LHC flavour anomalies
• $R(K^{(\ast )})$ with vector unparticles
• Reappraisal of the minimal flavoured $Z^{\prime }$ scenario
• Looking for lepton flavour violation in supersymmetry at the LHC
• New Physics in the Flavour Sector
• Electroweak $t\bar{t}$ hadroproduction in the presence of heavy $Z^{\prime }$ and $W^{\prime }$ bosons at NLO QCD in POWHEG
• $SU(5)\times U(1{)}^{\prime }$ models with a vector-like fermion family
• Rare b-hadron decays as probe of new physics
• QCD and High Energy Interactions: Moriond 2015 Theory Summary
• Fermiophobic $Z^{\prime }$ model for simultaneously explaining the muon anomalies $R_{K^{(\ast )}}$ and $(g-2{)}_{\mu }$
• Flavor Violation in the Scalar Sector
• Lepton Flavour Universality tests and Lepton Flavour Violation searches at LHCb
• Exploring the sensitivity of hadron colliders to non-universality in heavy neutral currents
• Search for the Z boson decay to $\tau \tau \mu \mu$ in proton-proton collisions at $\sqrt{s}$ = 13 TeV
• A bonus complementarity in Simplified Models of Dark Matter