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We propose a chiral Pati-Salam theory based on the gauge group $SU(4)_C\timesSU(2)_L\times SU(2)_R$. The left-handed quarks and leptons are unified into afundamental representation of $SU(4)_C$, while right-handed quarks and leptonshave a separate treatment. The deviations measured in the rare semi-leptonicdecays $B\to D^{(*)} \tau\bar\nu$ are explained by a scalar leptoquark whichcouples to right-handed fields and is contained in the $SU(4)_C\times SU(2)_R$breaking scalar multiplet. The measured deviation of lepton flavor universalityin the rare decays $\bar B\to \bar K^{(*)}\ell^+\ell^-$, $\ell=\mu,e$ isexplained via the $SU(4)_C$ leptoquark gauge boson. The model predicts a newsub-GeV scale sterile neutrino which participates in the anomaly and can besearched for in upcoming neutrino experiments. The theory satisfies the currentmost sensitive experimental constraints and its allowable parameter regionswill be probed as more precise measurements from the LHCb and Belle IIexperiments become available.

Unified SU(4) theory for the $R_{D^{(*)}}$ and $R_{K^{(*)}}$ anomalies

Unified SU(4) theory for the $R_{D^{()}}$ and $R_{K^{()}}$ anomalies