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Prog. Theor. Phys. Vol. 114 No. 4 (2005) pp. 845-871

[ Full Text PDF : FREE ACCESS (279K) ]

New Parameterization in Muon Decay and the Type of Emitted Neutrino

Masaru Doi,1,* Tsuneyuki Kotani2,** and Hiroyuki Nishiura3,***

1Osaka University of Pharmaceutical Sciences, Takatsuki 569-1094, Japan
22-8-26, Higashitoyonaka, Toyonaka 560-0003, Japan
3Department of General Education, Junior College of Osaka Institute of Technology, Osaka 535-8585, Japan

(Received February 15, 2005)

Abstract:

Normal muon decay, µ+ →e+νe\overlineνµ, is studied as a tool to discriminate between the Dirac and Majorana types of neutrinos and to survey the structure of the weak interaction. It is assumed that massive neutrinos mix with one another and that the interaction Hamiltonian consists of the V-A and V+A charged currents. A new set of parameters used in place of the Michel parameters is proposed for the positron distribution. Explicit forms of these new parameters are obtained by assuming that the masses are less than 10 eV for light neutrinos and sufficiently large for heavy Majorana neutrinos, which are not emitted in the muon decay. It is shown that a possible method to discriminate between the Dirac and Majorana cases is to use a characterization given by the χ2 fitting of their spectra. It is also confirmed that the theoretical predictions in the Majorana neutrino case are almost the same as those obtained from the standard model. Indeed, their differences cannot be distinguished within the present experimental precision.


URL : http://ptp.ipap.jp/link?PTP/114/845/
DOI : 10.1143/PTP.114.845


*E-mail: doi@gly.oups.ac.jp
**E-mail: tsune.kotani@nifty.com
***E-mail: nishiura@is.oit.ac.jp.
Present address: Faculty of Information Science and Technology, Osaka Institute of Technology, Hirakata 573-0196, Japan.

[ Full Text PDF : FREE ACCESS (279K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 118 No. 6 (2007) pp. 1069-1086 :
    New Parameterization in Muon Decay and the Type of Emitted Neutrino. II
    Masaru Doi, Tsuneyuki Kotani and Hiroyuki Nishiura

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