Modular $S_4$ and $A_4$ Symmetries and Their Fixed Points: New Predictive Examples of Lepton Mixing

@article{Ding2019ModularA,
  title={Modular \$S_4\$ and \$A_4\$ Symmetries and Their Fixed Points: New Predictive Examples of Lepton Mixing},
  author={G. Ding and S. F. King and Xiang-Gan Liu and J. Lu},
  journal={arXiv: High Energy Physics - Phenomenology},
  year={2019}
}
  • G. Ding, S. F. King, +1 author J. Lu
  • Published 2019
  • Physics
  • arXiv: High Energy Physics - Phenomenology
  • In the modular symmetry approach to neutrino models, the flavour symmetry emerges as a finite subgroup $\Gamma_N$ of the modular symmetry, broken by the vacuum expectation value (VEV) of a modulus field $\tau$. If the VEV of the modulus $\tau$ takes some special value, a residual subgroup of $\Gamma_N$ would be preserved. We derive the fixed points $\tau_S=i$, $\tau_{ST}=(-1+i\sqrt{3})/2$, $\tau_{TS}=(1+i\sqrt{3})/2$, $\tau_T=i\infty$ in the fundamental domain which are invariant under the… CONTINUE READING

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