Twin Pati-Salam theory of flavour with a TeV scale vector leptoquark

Abstract

We propose a twin Pati-Salam (PS) theory of flavour broken to the $G_{4321}$ 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 $R_{K^{(\ast )}}$ and $R_{D^{(\ast )}}$ 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 $R_{D^{(\ast )}}$ anomaly, given its current value.

Version published in JHEP

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Cited by in corpus (8)

• Confronting the vector leptoquark hypothesis with new low- and high-energy data
• $B$-anomalies in a twin Pati-Salam theory of flavour including the 2022 LHCb $R_{K^{(\ast )}}$ analysis
• Collider Signatures of Coannihilating Dark Matter in Light of the B-Physics Anomalies
• Gravitational wave signals from leptoquark-induced first order electroweak phase transitions
• Discriminating 1D new physics solutions in $b\to s\ell \ell$ decays
• Flavour anomalies meet flavour symmetry
• Fermiophobic $Z^{\prime }$ model for simultaneously explaining the muon anomalies $R_{K^{(\ast )}}$ and $(g-2{)}_{\mu }$
• Radiative Effects in the Scalar Sector of Vector Leptoquark Models