$R_{D^{(\ast )}}$ in custodial warped space

Abstract

Flavor physics experiments allow to probe the accuracy of the Standard Model (SM) description at low energies, and are sensitive to new heavy gauge bosons that couple to quarks and leptons in a relevant way. The apparent anomaly in the ratios of the decay of $B$-mesons into $D$-mesons and different lepton flavors, $R_{D^{(\ast )}}=\mathcal{B}(B\to D^{(\ast )}\tau \nu )/\mathcal{B}(B\to D^{(\ast )}\ell \nu )$ is particularly intriguing, since these decay processes occur at tree-level in the SM. Recently, it has been suggested that this anomaly may be explained by new gauge bosons coupled to right-handed currents of quarks and leptons, involving light right-handed neutrinos. In this work we present a well-motivated ultraviolet complete realization of this idea, embedding the SM in a warped space with an $SU(2{)}_L\otimes SU(2{)}_R\otimes U(1{)}_{B-L}$ bulk gauge symmetry. Besides providing a solution to the hierarchy problem, we show that this model, which has an explicit custodial symmetry, can explain the $R_{D^{(\ast )}}$ anomaly and at the same time allow for a solution to the $R_{K^{(\ast )}}$ anomalies, related to the decay of $B$-mesons into $K$-mesons and leptons, $R_{K^{(\ast )}}=\mathcal{B}(B\to K^{(\ast )}\mu \mu )/\mathcal{B}(B\to K^{(\ast )}ee)$. In addition, a model prediction is an anomalous value of the forward-backward asymmetry $A_{FB}^b$, driven by the $Z{\bar{b}}_R{b}_R$ coupling, in agreement with LEP data.

arXiv comment43 pages, 12 figures, 1 table; v2 added references; v3 typos removed and added references. It matches the version published in Journal of High Energy Physics

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• A Theory of $R(D^{\ast },D)$ Anomaly With Right-Handed Currents
• Asymmetry Observables and the Origin of $R_{D^{(\ast )}}$ Anomalies
• Charged current $b\to c\tau {\bar{\nu }}_{\tau }$ anomalies in a general $W^{\prime }$ boson scenario
• Review of Semileptonic $B$ Anomalies
• Gapped Continuum Kaluza-Klein spectrum
• Phenomenology of an extended IDM with loop-generated fermion mass hierarchies
• On Broad Kaluza-Klein Gluons
• Extra gauge bosons and lepton flavor universality violation in ${\rm Y}$ and $B$ meson decays
• Radion dynamics, heavy Kaluza-Klein resonances and gravitational waves
• Analytical Green's Functions for Continuum Spectra