Low-energy signatures of the $\mathrm{PS}^3$ model: from $B$-physics anomalies to LFV

Abstract

The three-site Pati-Salam gauge model provides a consistent description for the hints of lepton-flavor non-universality observed in $B$ decays, connecting the present pattern of "anomalies" to the origin of the Standard Model Yukawa couplings. We present here a detailed analysis of the model predictions for a series of low-energy observables, mainly in $B$ and $τ$ physics. The model is in good agreement with present data and predicts a well-defined pattern of non-standard effects in low-energy observables that could allow us to test it in the near future. Particularly interesting are the predictions of large $τ\toμ$ Lepton Flavor Violating processes, such as $τ\to μγ$, $τ\to 3μ$, $B\to K τμ$, and $B_s\toτμ$. Also $μ\to 3 e$, $μ\to eγ$, and $K_L \to μe$ decays could be not far from the present exclusion bounds, although this conclusion is more model dependent.