2015/11/09 by I. P. Ivanov, I P Ivanov, L. Lavoura +1 · 8 citations
Physics and Astronomy · #Algebra over a field #Contradiction #Fermion #Flavour #Neutrino Physics Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Symmetry (geometry) #Symmetry group #hep-ph
paper · pdf · doi:10.1088/0954-3899/43/10/105005
published in Journal of Physics G Nuclear and Particle Physics 43(10), 105005 (IOP Publishing) · 22 pages
arxiv created 2015/11/09 · openalex created_date 2016/06/24 · openalex publication_date 2016/08/23 · arxiv updated 2016/09/21 · openalex updated_date 2026/08/05
Renormalizable SO (10) grand unified theory (GUT) models equipped with flavour symmetries are a popular framework for addressing the flavour puzzle. Usually, the flavour symmetry group has been an ad hoc choice, and no general arguments limiting this choice were known. In this paper, we establish the full list of flavour symmetry groups which may be enforced, without producing any further accidental symmetry, on the Yukawa-coupling matrices of an SO (10) GUT with arbitrary numbers of scalar multiplets in the 10 , 126 ¯ , and 120 representations of SO (10). For each of the possible discrete non-Abelian symmetry groups, we present examples of minimal models which do not run into obvious contradiction with the phenomenological fermion masses and mixings.