Constraints of Mixing Angles from Lepton Number Violating Processes

Details Constraints of Mixing Angles from Lepton Number Violating Processes Constraints of Mixing Angles from Lepton Number Violating Processes

1998-09-28

arxiv.org/abs/hep-ph/9809556v1

Mod.Phys.Lett. A14 (1999) 433-446

Physics

High Energy Physics

High Energy Physics - Phenomenology

15pp, LaTeX, 5 Figures

Scientific paper

10.1142/S0217732399000493

We discuss the constraints of lepton mixing angles from lepton number violating processes such as neutrinoless double beta decay, (\mu^-)-(e^+) conversion and K decay, $K^- \to \pi^+\mu^-\mu^-$ which are allowed only if neutrinos are Majorana particles. The rates of these processes are proportional to the averaged neutrino mass defined by $_{a b}\equiv |\sum_{j=1}^{3}U_{a j} U_{b j}m_j|$ in the absence of right-handed weak coupling. Here $a, b (j)$ are flavour(mass) eigen states and $U_{a j}$ is the left-handed lepton mixing matrix. We obtain the consistency conditions which are satisfied irrelevant to the concrete values of CP violation phases (three phases in Majorana neutrinos). These conditions constrain the lepton mixing angles, neutrino masses $m_i$ and (< m_{\nu} >_{a b}). By using these constraints we obtain the limits on the averaged neutrino masses for (\mu^-)-(e^+) conversion and K decay, $K^- \to \pi^+\mu^-\mu^-$.

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