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We propose here a proposal to connect neutrino and energy frontiers, byexploiting collimated muon beams for neutrino oscillations, which generatesymmetric neutrino and antineutrino sources: $\mu^+\rightarrowe^+\,\bar{\nu}_{\mu}\, \nu_{e}$ and $\mu^-\rightarrow e^-\, \nu_{\mu}\,\bar{\nu}_{e}$. Interfacing with long baseline neutrino detectors such asDUNE and T2K, this experiment can be applicable to measure tau neutrinoproperties, and also to probe neutrino CP phase, by measuring muon electron(anti-)neutrino mixing or tau (anti-)neutrino appearance, and differencesbetween neutrino and antineutrino rates. There are several significant benefitsleading to large neutrino flux and high sensitivity on CP phase, including 1)collimated and manipulable muon beams, which lead to a larger acceptance ofneutrino sources in the far detector side; 2) symmetric $\mu^+$ and $\mu^-$beams, and thus symmetric neutrino and antineutrino sources, which make thisproposal ideally useful for measuring neutrino CP violation. More importantly,$\bar{\nu}_{e,\mu}\rightarrow\bar{\nu}_\tau$ and $\nu_{e,\mu}\rightarrow\nu_\tau$, and, $\bar{\nu}_{e}\rightarrow\bar{\nu}_\mu$ and $\nu_{e}\rightarrow\nu_\mu$ oscillation signals can be collected simultaneously, with no needs forseparate specific runs for neutrinos or antineutrinos. Based on a simulation ofneutrino oscillation experiment, we estimate $10^4$ tau (anti-) neutrinos canbe collected within 5 years which makes this proposal suitable for a brightertau neutrino factory. Moreover, more than 7 standard deviations of sensitivitycan be reached for $\dcp = |\pi/2|$, within only five ears of data taking, bycombining tau and muon (anti-) neutrino appearances. With the development of amore intensive muon beam targeting future muon collider, the neutrino potentialof the current proposal will surely be further improved.

Muon Beam for Neutrino CP Violation: connecting energy and neutrino frontiers