Discrete symmetries and solar neutrino mixing

Supersymmetric neutrino masses, R-symmetries, and the generalized μ-problem

“…This is the case in the (extended) MSSM with the so-called universal boundary conditions at the grand scale (i.e., m 2 scalar ≡ m 2 0 , A i ≡ A 0 , and M gaugino ≡ M 1/2 ). We solved the system (15) - (17) iteratively 15 in our model for various universal boundary conditions and confirmed the above assertions and claims. We also included in the numerical procedures the one-loop radiative corrections (see above) and the corrected b and τ Yukawa couplings (see below).…”

“…(Similar arguments hold for an arbitrary high-energy W LNV Y .) In general models for the soft terms one could always tune the parameters to satisfy (17). For example, if µ = O(1 GeV) then m 2 3 = O(M 2 Z ) may not be proportional to µ (see Example B of Section II).…”

“…Similar problems would also arise in the case of low-energy stringy U (1)'s, unless the D-terms vanish or are negligible. Thus, global symmetries are better suited for our purposes 17. Note that any constraints imposed there on ν Lτ etc., apply, in our case, only to the rotated vev's after the SM lepton number is defined (see below).…”

More about discrete gauge anomalies

“…Many candidate gauge discrete symmetries may be ruled out on the basis of these conditions. This has been applied in particular to the discrete symmetries ensuring proton stability in the supersymmetric standard model (SSM) [6], solar neutrino models [7], [8]and other phenomenological questions [9], [10]. The possibility of interpreting CP as a gauge discrete symmetry has also been considered in ref.…”

Discrete gauge symmetries in axionic extensions of the supersymmetric standard model

“…The discrete symmetries should then fulfill certain anomaly-free conditions [2,3]. Recently, it has been found that proton stability or solar neutrino mixing can be consistent with certain classes of anomaly-free discrete symmetries [3,4].…”