arXiv subjects
Publications and source records attributed to M. Zrałek.
Taking into account mixings among neutrino states, the end of the energy spectrum of the electron in the tritium beta decay is investigated. It is shown that for real energy resolutions of a spectrometer, $ ΔE > 0.08$ eV, the effective electron neutrino mass should [not] be taken in the form $m_β^{(1)} = \sqrt{\sum|U_{ei}|^2 m_i^2} [m_β^{(2)} = \sum|U_{ei}|^2 m_i$.
The invariant formulation of CP violation involves the generation of sets of invariant constraints for CP conservation, the manipulation of their expressions and the identification of complete and minimal subsets of such constraints. In this paper we present a collection of subroutines to deal with these three tasks in a fast, reliable and systematic way, with examples for the leptonic sector.
We study CP violation in the lepton sector in extended models with right-handed neutrinos, without and with left-right symmetry, and with arbitrary mass terms. We find the conditions which must be satisfied by the neutrino and charged lepton mass matrices for CP conservation. These constraints, which are independent of the choice of weak basis, are proven to be also sufficient in simple cases. This invariant formulation makes apparent the necessary requirements for CP violation, as well as the size of CP violating effects. As an example, we show that CP violation can be much larger in left-right symmetric models than in models with only additional right-handed neutrinos, {\it i.e.}, without right-handed currents.