Consequences of Neutrino Lorentz Violation For Leptonic Meson Decays
High Energy Physics - Phenomenology
2011-11-15 v2
Abstract
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.
Keywords
Cite
@article{arxiv.1110.2123,
title = {Consequences of Neutrino Lorentz Violation For Leptonic Meson Decays},
author = {Brett Altschul},
journal= {arXiv preprint arXiv:1110.2123},
year = {2011}
}
Comments
10 pages