Composite Neutrinos and Double Beta Decay : Particles and Fields

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概要

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• Neutrinoless double beta decay (ββ)_<0ν> occurs through the magnetic coupling of dimension five, λ_w^<(ν*)>/m_<ν*>, among the excited electron neutrino ν*, electron, and W boson if ν* is a massive Majorana neutrino. If the coupling is not small, i.e., λ_w^<(ν*)> >1, the mass of the excited neutrino must not be less than the Z boson mass, m_z. Since ν* contributes in the (ββ)_<0ν> decay as a virtual state, this decay will give an opportunity to explore the much heavier mass region of ν*. In this paper, we present the decay formula of (ββ)_<0ν> decay through the ν* exchange and discuss the constraint on the coupling constant and the mass of the excited neutrino. By comparing the recent data for ^<76>Ge, we find λ_w^<(ν*)> (1 TeV/m_<ν*>)(m_N/1 TeV)^<1/2> 4.1・10<-3>, where m_N is the Majorana mass of the excited electron neutrino. If m_N=m_<ν*> and λ_w^<(ν*)> >1, we find the mass bound for the excited Majorana neutrino to be m_<ν*> >5.9・10^4 TeV. In order to obtain a constraint on the composite scale Λ, we have to specify the model. For the mirror type and the homodoublet type models, λ_w^<(ν*)> >/m_<ν*>=f/(√<2>Λ), where f is the relative strength of gauge couplings. Then, we obtain Λ >170 f(m_N/1 TeV)^<1/2>TeV. For the sequential type model, λ/m_<ν*>=fv/(√<2>Λ^2), where v is the vacuum expectation value of the doublet Higgs boson, i.e., v=250 GeV. In this model, we find Λ >6.6 f^<1/2>(m_N/1 TeV)^<1/4> TeV.

• 理論物理学刊行会の論文
• 1995-12-25

著者

• Takasugi E

  Osaka Univ.

• TAKASUGI Eiichi

  Department of Physics, Osaka University

• Takasugi Eiichi

  Department Of Physics Graduate School Of Science Osaka University

• TAKASUGI Eiichi

  Department of Physics, Osaka University:Department of Physics, Hokkaido University

• TAKASUGI Eiichi

  Institute of Physics, College of General Education, Osaka University

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