Flavour physics without flavour symmetries

Abstract

We quantitatively analyze a quark-lepton flavour model derived from a six-dimensional supersymmetric theory with $SO(10)\times U(1)$ gauge symmetry, compactified on an orbifold with magnetic flux. Two bulk $16$-plets charged under the $U(1)$ provide the three quark-lepton generations whereas two uncharged $10$-plets yield two Higgs doublets. At the orbifold fixed points mass matrices are generated with rank one or two. Moreover, the zero modes mix with heavy vectorlike split multiplets. The model possesses no flavour symmetries. Nevertheless, there exist a number of relations between Yukawa couplings, remnants of the underlying GUT symmetry and the wave function profiles of the zero modes, which lead to a prediction of the light neutrino mass scale, $m_{{\nu }_1}\sim 10^{-3}$ eV and heavy Majorana neutrino masses in the range from $10^{12}$ GeV to $10^{14}$ GeV. The model successfully includes thermal leptogenesis.

Minor additions; Published version

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• Brane-localized masses in magnetic compactifications

Cited by in corpus (13)

• Leptogenesis and fermion mass fit in a renormalizable $SO(10)$ model
• Zero-mode counting formula and zeros in orbifold compactifications
• Minimal spontaneous CP-violating GUT and predictions for leptonic CP phases
• Moduli trapping mechanism in modular flavor symmetric models
• Index theorem on magnetized blow-up manifold of $T^2/{\mathbb{Z}}_N$
• Effects of heavy neutrinos on vacuum stability in two-Higgs-doublet model with GUT scale supersymmetry
• Index and winding numbers on $T^2/{\mathbb{Z}}_N$ orbifolds with magnetic flux
• Modular symmetry and zeros in magnetic compactifications
• Magnetized orbifolds and localized flux
• Proton decay in flux compactifications
• Zero-modes in magnetized $T^6/{\mathbb{Z}}_N$ orbifold models through $Sp(6,\mathbb{Z})$ modular symmetry
• Mass spectrum in a six-dimensional $SU(n)$ gauge theory on a magnetized torus
• Wavefunctions on $S^2$ with flux and branes