Abstract
We propose a twin Pati-Salam (PS) theory of flavour broken to the G4321 gauge group at high energies, then to the Standard Model at low energies, yielding a TeV scale vector leptoquark \( {U}_1^{\mu } \)(3, 1, 2/3) which has been suggested to address the lepton universality anomalies \( {R}_{K^{\left(\ast \right)}} \) and \( {R}_{D^{\left(\ast \right)}} \) in B decays. Quark and lepton masses are mediated by vector-like fermions, with personal Higgs doublets for the second and third families, which may be replaced by a two Higgs doublet model (2HDM). The twin PS theory of flavour successfully accounts for all quark and lepton (including neutrino) masses and mixings, and predicts a dominant coupling of \( {U}_1^{\mu } \)(3, 1, 2/3) to the third family left-handed doublets. However the predicted mass matrices, assuming natural values of the parameters, are not consistent with the single vector leptoquark solution to the \( {R}_{D^{\left(\ast \right)}} \) anomaly, given its current value.
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King, S.F. Twin Pati-Salam theory of flavour with a TeV scale vector leptoquark. J. High Energ. Phys. 2021, 161 (2021). https://doi.org/10.1007/JHEP11(2021)161
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DOI: https://doi.org/10.1007/JHEP11(2021)161