${\sin }^2{\theta }_W$ estimate and neutrino electromagnetic properties from low-energy solar data

Abstract

We report new values of weak-mixing angle (${\sin }^2{\theta }_W$)$,$ neutrino effective magnetic moment and the charge radius using the lowest-energy (to-date) solar neutrino data of pp, ${}^7$Be and pep spectra from phase-I and phase-II runs of Borexino experiment. The best-fit values are ${\sin }^2{\theta }_W=$0.235$\pm$0.019 with a precision comparable to that of the combined reactor and accelerator very short-baseline experiments and ${\mu }_{\nu }^{eff}\le 8.7\times 10^{-12}{\mu }_B$ at 90% C.L. with a factor of 3 improvement than the previous bounds. This leads to the improvement of all the related magnetic moment matrix elements for the Majorana-type and Dirac-type in mass basis and also improvement on bounds on the flavor magnetic moment states. The bounds on the neutrino charged radii turn out to be $-0.82\times 10^{-32}$cm${}^2\le ⟨r_{{\nu }_e}^2⟩\le 1.27\times 10^{-32}$ cm${}^2$and $-9\times 10^{-32}$cm${}^2\le ⟨r_{{\nu }_{\mu },{\nu }_{\tau }}^2⟩\le 3.1\times 10^{-31}$ cm${}^2$ at 90% C.L..

5 pages, 2 figures, 2 tables, Solar flux and oscillation parameter uncertainties in predictions were included. Statistical model modified. Slight changes occured in numerical results, Published in JPhyG

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