Estimate of the Energy of Upgoing Muons with Multiple Coulomb Scattering
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Upward throughgoing muons in underground detectors are induced by atmospheric $ν_μ$ with energies in the $1-10^4 GeV$ range. The oscillations of atmospheric muon neutrinos should affect mainly those with energy smaller than $E_ν\sim 50 GeV$, or $E_μ\le 10 GeV$ . We analyzed the MACRO upward throughgoing muons data set, using the Multiple Coulomb Scattering to estimate the energy $E_μ$ of muons crossing the detector. We analyzed the event distribution for six event subsamples with different values of $<\ell_ν/ E_ν>$. The event distribution is in agreement with the hypothesis of neutrino oscillations with $Δm^2$ few times $10^{-3} eV^2$ and maximum mixing.
8 pages, 4 figures. Invited contribution to the NATO Advanced Research Workshop: Cosmic Radiation: From Astronomy To Particle Physics, 21-23 March 2001, Oujda (Morocco)
8 pages, 4 figures. Invited contribution to the NATO Advanced Research Workshop: Cosmic Radiation: From Astronomy To Particle Physics, 21-23 March 2001, Oujda (Morocco)