Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2002-11-21
Phys.Lett. B557 (2003) 224-232
Physics
High Energy Physics
High Energy Physics - Phenomenology
15 pages, Version to appear in Phys. Lett. B
Scientific paper
10.1016/S0370-2693(03)00207-7
In the presence of mixing between massive neutrino states, the distortion of the electron spectrum in beta decay is, in general, a function of several masses and mixing angles. For $3\nu$-schemes which describe the solar and atmospheric neutrino data, this distortion can be described by a single effective mass, under certain conditions. In the literature, two different definitions for the effective mass have been suggested. We show that for quasi-degenerate mass schemes (with an overall mass scale $m$ and splitting $\Delta m^2$) the two definitions coincide up to $(\Delta m^2)^2/m^4$ corrections. We consider the impact of different effective masses on the integral energy spectrum. We show that the spectrum with a single mass can be used also to fit the data in the case of $4\nu$-schemes motivated, in particular, by the LSND results. In this case the accuracy of the mass determination turns out to be better than $(10 - 15)%$.
Farzan Yasaman
Smirnov Alexei Yu.
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