Abstract
We classify all minimal N-generational SU(3) × SU(2) × U(1) axion models according to the structure of their vacuum manifold M, showing that n ≡ π0(M) is such that 1 ≤ n ≤ N. For n < N, the purely axial U(1)A must be explicitly broken in the Yukawa sector, implying that U(1)PQ necessarily distinguishes some quark families. In fact, a complete distinction, i.e. a fully horizontal realization of U(1)PQ does exist for arbitrary N, leading to definite flavor interaction patterns with non-trivial relative structure of the mass matrices Mu versus Md. For each n, in particular for the domain-wall-free n = 1 case, we find a unique Yukawa pattern embeddable in unified SU(5), whereas SO(10) can only host n = N. It is emphasized that axion invisibility guarantees the invisibility of flavor changing neutral currents.
Original language | English |
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Pages (from-to) | 647-670 |
Number of pages | 24 |
Journal | Nuclear Physics B |
Volume | 248 |
Issue number | 3 |
DOIs | |
State | Published - 31 Dec 1984 |
ASJC Scopus subject areas
- Nuclear and High Energy Physics