Large Matter Effects in ${ν_μ\to ν_τ}$ Oscillations

Details Large Matter Effects in ${ν_μ\to ν_τ}$ Oscillations Large Matter Effects in ${ν_μ\to ν_τ}$ Oscillations

2004-08-31

arxiv.org/abs/hep-ph/0408361v3

Phys.Rev.Lett. 94 (2005) 051801

Physics

High Energy Physics

High Energy Physics - Phenomenology

Version to appear in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.94.051801

We show that matter effects change the ${\rm {\nu_\mu \to \nu_\tau}}$ oscillation probability by as much as 70% for certain ranges of energies and pathlengths. Consequently, the ${\rm {\nu_\mu \to \nu_\mu}}$ survival probability also undergoes large changes. A proper understanding of $\nu_\mu$ survival rates must consider matter effects in $P_{\mu \tau}$ as well as $P_{\mu e}$. We comment on a) how these matter effects may be observed and the sign of $\Delta_{31}$ determined in atmospheric neutrino measurements and at neutrino factories and b) how they lead to heightened sensitivity for small $\theta_{13}$.

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