Statistical analysis of neutrino events from SN1987A neutrino burst: estimation of the electron antineutrino mass

Details Statistical analysis of neutrino events from SN1987A neutrino burst: estimation of the electron antineutrino mass Statistical analysis of neutrino events from SN1987A neutrino burst: estimation of the electron antineutrino mass

2007-09-28

arxiv.org/abs/0709.4627v1

Astronomy and Astrophysics

Astrophysics

12 pages, 4 figures

Scientific paper

The method of the statistical sample moments was used for the analysis of neutrino events from SN1987A burst in Cherenkov detectors. In particular the coefficients of correlation $Q(E,t)$ between the energies $E$ of electron antineutrinos $\bar \nu_e$ emitted by star and the ejection instants $t$ of $\bar \nu_e$ for neutrino events recorded by Cherenkov water detectors of KII and IMB collaborations were calculated. $Q(E,t)$ values depend on the assumed mass of $\bar \nu_e$. Modern model of the gravitational stellar core collapse with an accretion phase predicts the low level of such correlation $$ averaged with respect to neutrino burst. On condition that empirical $Q(E,t)$ values equal the theoretical model quantities $$ one can obtain $22\pm10 eV/c^{2}$ as an estimate of the nonzero $\bar \nu_e$ mass. The error of this estimate implies that $\bar \nu_e$ mass less than $2 eV/c^2$ is unlikely. The laboratry data of the tritium $\beta$-decay agree adequately with the presented astrophysical estimate provided that the anomalous structure near the end point of $\beta$-spectrum is taken into account.

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