Finite family groups for fermionic and leptoquark mixing patterns

We employ a bottom-up and model-independent technique to search for nonAbelian discrete avour symmetries capable of predicting viable CKM and PMNS matrices alongside of special patterns of leptoquark couplings. In particular, we analyze patterns derived when an ultra-violet avour theory is assumed to break to global Abelian symmetries in Standard Model fermion masses and new Yukawa-like terms sourced by the leptoquark representation. The phenomenology of different classes of these `simplified models' can be explored without reference to explicit model-building assumptions, e.g. the nature of avour symmetry breaking or any additional field content associated to it, and are also capable of explaining hints of lepton non-universality in R K(?). Assuming experimentally interesting CKM and PMNS matrix elements, our algorithm finds an abundance of predictive non-Abelian avour groups and therefore provides promising directions for future model building in the avoured leptoquark space, regardless of whether the anomalous R K(?) measurements withstand further experimental scrutiny.