Flavour and CP predictions from orbifold compactification

Abstract

We propose a theory for fermion masses and mixings in which an $A_4$ family symmetry arises naturally from a six-dimensional spacetime after orbifold compactification. The flavour symmetry leads to the successful "golden" quark-lepton unification formula. The model reproduces oscillation parameters with good precision, giving sharp predictions for the CP violating phases of quarks and leptons, in particular ${\delta }^{\ell }\simeq +268^{\circ }$. The effective neutrinoless double-beta decay mass parameter is also sharply predicted as $⟨m_{\beta \beta }⟩\simeq 2.65meV$.

11 pages, 3 figures. v2: matches published version. Note title change

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• Sculpting the Standard Model from low-scale Gauge-Higgs-Matter $E_8$ Grand Unification in ten dimensions
• Quark-lepton mass relations from modular flavor symmetry