Search for CP Violation with a Neutrino Factory

Abstract

We have discussed the search of the genuine CP violation in a neutrino factory, in which well known neutrino beams are provided by a high intensity muon storage ring. Both $\Delta P({\text{n}}_{\text{a}}\text{Ar}{\text{n}}_{\text{b}})$ and CP odd asymmetry $A_{CP}$ in neutrino oscillations are investigated by taking account of the atmospheric neutrino data and the solar neutrino data. If the large mixing angle MSW solution is taken, the magnitude of $\Delta P({\text{n}}_e\text{Ar}{\text{n}}_{\text{m}})$ could be 1%. If $s_{13}$ is lower than 0.05 with the maximal CP violating phase, the matter effect is negligible in $\Delta P({\text{n}}_e\text{Ar}{\text{n}}_{\text{m}})$ and $A_{CP}$. We have proposed how to extract the genuine CP violation effect in the three family scheme from the neutrino oscillation data $\Delta P({\text{n}}_e\text{Ar}{\text{n}}_{\text{m}})$, $\Delta P({\text{n}}_{\text{m}}\text{Ar}{\text{n}}_e)$ and $\Delta P({\text{n}}_e\text{Ar}{\text{n}}_{\tau })$.

Comments: LaTeX, 16 pages, 5 figures, Added references, A comment about matter density is added