Fig. 1. Generic layout of the neutrino factory complex.

Fig. 2. Neutrino energy spectra from π⁺ and μ⁺ decay in the rest frames.

Fig. 3. Event spectra for different muon beam polarizations in a detector located 732 km away from the neutron factory for beams of 50 GeV/c. The energy spread and the divergence of the muon beam are both assumed as zero.

Fig. 4. Rotation between the mass and flavour eigenstates in the three-family neutrino oscillation scheme.

Fig. 5. and ν_e fluxes (linear and logarithmic scales) produced by the decay of an ideal beam of μ⁺ of E_μ=10, 20 and 50 GeV/c.

Fig. 6. Wrong-sign muon efficiency and fractional backgrounds from CC and NC events, in a neutrino beam originating from 50 GeV/c μ⁺.

Fig. 7. The signal-over-noise ratio of the CP-odd asymmetry of Eq. (2) as a function of the distance, after subtracting the fake matter induced asymmetry. The thick line corresponds to the spectrum-integrated asymmetry, while the dashed lines correspond to the asymmetry computed in five energy bins of equal width ΔE_ν=10 GeV. The neutrino-mixing parameters correspond to the LMA-MSW solution to the solar anomaly: Δm₂₃²=2.8×10⁻³ eV², Δm₁₂²=1×10⁻⁴ eV², θ₁₂=22.5°, θ₂₃=45°, θ₁₃=13° and δ=90°. The muon momentum is E_μ=50 GeV/c and the matter parameter A is varied with the distance according to [90].

Table 1. Comparison of a conventional neutrino beam with the beam from a neutrino factory

Table 2. Flux functions in the muon rest-frame

Table 3. Neutrino beam composition for different muon polarization

Table 4. Neutrino flavour transitions

Table 5. Signal efficiency and fractional backgrounds for the wrong-sign muon search with μ⁺ decays

Table 6. Events surviving the cuts in the large magnetic detector for 10²¹ useful μ⁺ decays. The signal events have been calculated with the parameters Δm₂₃²=4×10⁻³ eV², θ₁₂=45° and θ₁₃=13°

Table 7. ν_τ detection with an emulsion detector suitably modeled after OPERA, in the optimized NGS and at the neutrino factory. The oscillation ν_μ→ν_τ is assumed to take place with sin² 2θ=1 and Δm²=3×10⁻³ eV²