Charged lepton and neutrino oscillations

Y. Srivastava; A. Widom; E. Sassaroli

doi:doi:10.1007/s100529800720

EPJ

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2018 Impact factor 4.843

Particles and Fields

Eur. Phys. J. C 2, 769-774
DOI 10.1007/s100529800720

Charged lepton and neutrino oscillations

Y. Srivastava^1,2 - A. Widom^1,2 - E. Sassaroli^2,3

¹ Physics Department, Northeastern University, Boston, MA 02115, USA
² Physics Department and INFN, University of Perugia, Perugia, Italy
³ Department of Physics & Laboratory for Nuclear Science, MIT, Cambridge, MA, USA

Received: 15 October 1996 / Revised version: 15 June 1997 / Published online: 20 February 1998

Abstract
Problems long present in the conventional formalism employed for neutrino oscillations are discussed. We here develop a more satisfactory framework based on the Dirac equation and its propagators. When 4-momentum conservation is strictly enforced, there will be induced oscillations in space (but not between generations) for the charged leptons, e.g. $\mu$ and $\tau$ , produced in association with the neutrinos. The oscillations are computed explicitly for the pion decay $\pi \to \mu+\bar{\nu}$ . Leptonic decays of the W are also briefly discussed.