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2011

Consequences of Neutrino Lorentz Violation For Leptonic Meson Decays

Altschul, Brett

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If the observation by OPERA of apparently superluminal neutrinos is correct, the Lagrangian for second-generation leptons must break Lorentz invariance.

We calculate the effects of an energy-independent change in the neutrino speed on another observable, the charged pion decay rate.
The rate decreases by an factor [1 - 3/(1 - (m_mu)^2 / (m_pi) ^ 2) (< v_(nu) > - 1)], where < v_(nu) > is the (directionally averaged) neutrino speed in the pion's rest frame.
This provides a completely independent experimental observable that is sensitive to the same forms of Lorentz violation as a neutrino time of flight measurement.

Consequences of Neutrino Lorentz Violation For Leptonic Meson Decays · Around

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