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Abstract
We formulate a set of naturalness criteria for sterile neutrinos ( ν ′) to be light, needed for reconciling the LSND neutrino anomaly with the other neutrino data. A light sterile neutrino becomes as natural as the light active neutrinos if it carries quantum numbers of a chiral gauge symmetry broken at the TeV scale. The simplest such theory is shown to be an SU (2) gauge theory with the ν ′ transforming as a spin 3/2 multiplet. We develop this model and show that it leads naturally to the phenomenologically viable (3+2) neutrino oscillation scheme. We also present next-to-minimal models for light sterile neutrinos based on a chiral U (1) gauge symmetry.
Highlights
Recent solar [1], atmospheric [2], and reactor [3] neutrino oscillation experiments have significantly improved our knowledge about neutrino masses and mixing angles
The νμ–νe oscillation signal reported by the Liquid Scintillator Neutrino Detector (LSND) experiment at Los Alamos [5], which will soon be tested by the ongoing MiniBooNE [6] experiment at Fermilab, would require a third neutrino mass squared splitting ∆m2LSND 10−1 eV2, which is impossible to implement in a three-neutrino oscillation scheme
Four-neutrino mass models with a single sterile neutrino [7, 8] are strongly disfavored by present data [9], a combined analysis of the short-baseline experiments Bugey [10], CCFR [11], CDHS [12], CHOOZ [13], KARMEN [14], and LSND shows, that (3+2) neutrino mass schemes with two sterile neutrinos can yield a satisfactory description of current neutrino oscillation data including LSND [15]
Summary
Recent solar [1], atmospheric [2], and reactor [3] neutrino oscillation experiments have significantly improved our knowledge about neutrino masses and mixing angles. The entries MR, MR′ , and MR′′ on the other hand, are unprotected by GSM × G′ and of the order ∼ MB−L At low energies, this will give an effective 2 × 2 neutrino mass matrix, which yields small masses in the (sub-)eV-range for both the active and the sterile neutrinos. A single spin 3/2 Higgs field Φ can spontaneously break this symmetry at the TeV scale without supplying large (TeV scale) masses to Ψ In this setup, we calculate the most general neutrino mass matrix Mν by explicitly minimizing the scalar potential for Φ. SU(2) with a single fermion Ψ in the spin 3/2 representation is the simplest anomaly-free chiral gauge theory. For Model (b), a minimal extension of the Higgs sector by a scalar Φ with charge −4 leads to the effective neutrino mass Lagrangian.
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