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We point out that the observed neutrino mixing pattern at low energies isvery likely to originate from the 3 times 3 lepton flavor mixing matrix U whichpossesses the exact mu-tau permutation symmetry |U_{mu i}| = |U_{tau i}| (fori=1,2,3) at a superhigh energy scale Lambda_{mu tau} \sim 10^{14} GeV. Thedeviation of theta_{23} from 45^\circ and that of delta from 270^\circ in thestandard parametrization of U are therefore a natural consequence of smallmu-tau symmetry breaking via the renormalization-group equations (RGEs) runningfrom Lambda_{mu tau} down to the electroweak scale Lambda_{EW} \sim 10^2 GeV.In fitting current experimental data we find that the RGE-corrected value oftheta_{23} is uniquely correlated with the neutrino mass ordering: theta_{23}\simeq 42.4^\circ reported by Capozzi et al (or theta_{23} \simeq 48.9^\circreported by Forero et al) at Lambda_{EW} can arise from theta_{23} = 45^\circat Lambda_{mu tau} in the minimal supersymmetric standard model if the neutrinomass ordering is inverted (or normal). Accordingly, the preliminary best-fitresults of delta at Lambda_{EW} can also evolve from delta = 270^\circ atLambda_{mu tau} no matter whether the massive neutrinos are Dirac or Majoranaparticles.

Resolving the octant of theta_{23} via radiative mu-tau symmetry breaking