Abstract
We employ a bottom-up and model-independent technique to search for non-Abelian discrete flavour symmetries capable of predicting viable CKM and PMNS matrices alongside of special patterns of leptoquark couplings. In particular, we analyze patterns de- rived when an ultra-violet flavour 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 flavour symmetry breaking or any additional field content associated to it, and are also capable of explaining hints of lepton non-universality in \( {\mathcal{R}}_{K^{\left(\ast \right)}} \). Assuming experimentally interesting CKM and PMNS matrix elements, our algorithm finds an abundance of predictive non-Abelian flavour groups and therefore provides promising directions for future model building in the flavoured leptoquark space, regardless of whether the anomalous \( {\mathcal{R}}_{K^{\left(\ast \right)}} \) measurements withstand further experimental scrutiny.
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Bernigaud, J., de Medeiros Varzielas, I. & Talbert, J. Finite family groups for fermionic and leptoquark mixing patterns. J. High Energ. Phys. 2020, 194 (2020). https://doi.org/10.1007/JHEP01(2020)194
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DOI: https://doi.org/10.1007/JHEP01(2020)194