Finite family groups for fermionic and leptoquark mixing patterns

• Published in: The journal of high energy physics Vol. 2020; no. 1; pp. 1 - 40
• Main Authors: Bernigaud, Jordan, de Medeiros Varzielas, Ivo, Talbert, Jim
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.01.2020; Springer Nature B.V; Springer; SpringerOpen
• Subjects: Algorithms; Beyond Standard Model; Broken symmetry; Classical and Quantum Gravitation; Couplings; Elementary Particles; Fermions; Flavor (particle physics); Flavor physics; High energy physics; High Energy Physics - Phenomenology; Leptons; Mathematical analysis; Matrix methods; Phenomenology; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Quark Masses and SM Parameters; Regular Article - Theoretical Physics; Relativity Theory; String Theory; Flavor physics; Beyond Standard Model; Quark Masses and SM Parameters; symmetry: nonabelian; B: rare decay; new physics; coupling: flavor changing; lepton: universality: violation; neutral current: flavor changing; B > > K lepton antilepton; leptoquark: coupling; symmetry: flavor; flavor: violation; symmetry: discrete; B: branching ratio: ratio; symmetry: family; lepton: flavor: universality; B: semileptonic decay
• ISSN: 1029-8479; 1126-6708; 1029-8479
• DOI: 10.1007/JHEP01(2020)194

A bstract 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 R K ∗ . 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 R K ∗ measurements withstand further experimental scrutiny.