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.
Digital Object Identifier (DOI)
Volume 84, Issue 9, 2011.
© 2011 American Physical Society
Altschul, B. (2011). Consequences of neutrino Lorentz violation for leptonic meson decays. Physical Review D, 84(9). https://doi.org/10.1103/physrevd.84.091902