Tau Polarization in Tau-Neutrino Nucleon Scattering

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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23 pages, 35 figures; compile errors corrected; notation errors in Eq.(30) and (31) corrected, typo error in Eq.(40) corrected

Scientific paper

10.1016/S0550-3213(03)00575-3

We investigate the spin polarization of \tau^{\pm} leptons produced in \nu_{\tau} and \bar{\nu}_{\tau} nucleon scattering via charged currents. Quasi-elastic scattering, \Delta resonance production and deep inelastic scattering processes are studied. The polarization information is essential for measuring the \tau^{\pm} appearance rate in long baseline neutrino oscillation experiments, because the decay particle distributions depend crucially on the \tau^{\pm} spin. In this article, we calculate the spin density matrix of each process and estimate the spin polarization vector in medium and high neutrino energy interactions. We find that the produced \tau^{\pm}'s have high degree of polarization, and their spin direction depends non-trivially on the energy and the scattering angle of \tau^{\pm} in the laboratory frame.

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