Neutrino oscillations: measuring $θ_{13}$ including its sign

Details Neutrino oscillations: measuring $θ_{13}$ including its sign Neutrino oscillations: measuring $θ_{13}$ including its sign

2004-10-21

arxiv.org/abs/nucl-th/0410088v2

Phys.Rev. C71 (2005) 062501

Physics

Nuclear Physics

Nuclear Theory

5 pages, 5 figures

Scientific paper

10.1103/PhysRevC.71.062501

In neutrino phenomenology, terms in the oscillation probabilities linear in $\sin \theta_{13}$ lead naturally to the question ``How can one measure $\theta_{13}$ including its sign?'' Here we demonstrate analytically and with a simulation of neutrino data that ${\mathcal P}_{e\mu}$ and ${\mathcal {P}_{\mu\mu}$ at $L/E = 2\pi/\Delta_{21}$ exhibit significant linear dependence on $\theta_{13}$ in the limit of vacuum oscillations. Measurements at this particular value of $L/E$ can thus determine not only $\theta_{13}$ but also its sign, if CP violation is small.

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