Optimal $β$-beam at the CERN-SPS

A $β$-beam with maximum $γ=150$ (for $\helio$ ions) or $γ=250$ (for $\neon$) could be achieved at the CERN-SPS. We study the sensitivity to $θ_{13}$ and $δ$ of such a beam as function of $γ$, optimizing with the baseline constrained to CERN-Frejus (130 km), and also with simultaneous variation of the baseline. These results are compared to the {\it standard} scenario previously considered, with lower $γ=60/100$, and also with a higher $γ\sim 350$ option that requires a more powerful accelerator. Although higher $γ$ is better, loss of sensitivity to $θ_{13}$ and $δ$ is most pronounced for $γ$ below 100.

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