Composition waves in confined geometries

Stability of neutrino mass degeneracy

“…In fact, this idea is often extended to all three neutrinos [4,5]. On the other hand, since the charged-lepton masses are all different, radiative corrections [6,7] to m 1 and m 2 will tend to change ∆m 2 as well as θ. This is especially important for the vacuum oscillation solution [8] to the observed solar neutrino deficit [2] which requires ∆m 2 ∼ 10 −10 eV 2 and sin 2 2θ ∼ 1.…”

“…where Λ is the scale at which the original mass matrix M is defined. Other model-dependent contributions [6] to the mass terms themselves may be of the same order. If m µ is replaced by m τ in Eq.…”

Nearly mass-degenerate Majorana neutrinos: Double-beta decay and neutrino oscillations

“…(1) Depending on the specific mechanism by which the neutrinos become massive, there are finite radiative corrections to the mass matrix itself [4,5,6]. (2) There are model-independent wavefunction renormalizations which shift the values of the mass matrix from one mass scale to another [11].…”

“…In particular, I show [4] how a two-fold neutrino mass degeneracy can be stable against radiative corrections. I finish with three examples: (1) a two-loop explanation [5] of vacuum (∆m 2 ) sol , (2) a one-loop connection [6] between (∆m 2 ) atm and vacuum (∆m 2 ) sol , and (3) a one-loop explanation [7] of small-angle matter-enhanced (∆m 2 ) sol with the prediction 0.20 eV < m ν < 0.36 eV.…”

Permutation symmetry for neutrino and charged-lepton mass matrices

“…This allows for the intriguing possibility that neutrino masses are degenerate [5] with very small splittings. However, since the charged-lepton masses break this degeneracy, there must be radiative corrections [6] which may or may not be consistent with the actual phenomenological solutions desired, especially so if a value of 10 −10 eV 2 for ∆m 2 12 is to be maintained.…”