Abstract
We analyze the strong CP problem and the implications for axion physics in the context of $U_1$ vector leptoquark models, recently put forward as an elegant solution to the hints of lepton flavor universality violation in B-meson decays. It is shown that in minimal gauge models containing the $U_1$ as a gauge boson, the Peccei-Quinn solution of the strong CP problem requires the introduction of two axions. Characteristic predictions for the associated axions can be deduced from the model parameter space hinted by B-physics, allowing the new axion sector to account for the dark matter of the Universe. We also provide a specific ultraviolet completion of the axion sector that connects the Peccei-Quinn mechanism to the generation of neutrino masses.
Highlights
The recent indications of lepton flavor universality violation (LFUV) in semileptonic b → cτν [1,2,3,4,5] and b → sll [6,7,8,9] transitions are at present one of the most interesting hints of new physics (NP)
Among the different options proposed to explain the hints of LFUV observed in B-meson decays, the hypothesis of U1 vector leptoquark stands for its simplicity and effectiveness
The requirement of a phenomenologically consistent TeV scale U1 arising from an extended gauge group implies the emergence of QCD interactions from a nontrivial high-energy group structure
Summary
The recent indications of lepton flavor universality violation (LFUV) in semileptonic b → cτν [1,2,3,4,5] and b → sll [6,7,8,9] transitions are at present one of the most interesting hints of new physics (NP). The search for a renormalizable model that contains the U1 has led to the so-called 4321 models [19,20,21,22,23,24,25,26,27], where the SM gauge group is extended to G4321 ≡ SUð4Þ × SUð3Þ0 × SUð2ÞL × Uð1Þ0. This is the smallest gauge group allowing for a TeV-scale U1 as a gauge boson while remaining consistent with the stringent. In the last part we provide an ultraviolet completion for the proposed PQ mechanism that connects this solution to the generation of neutrino masses
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