Neutrino Conversions in Solar Random Magnetic Fields

We consider the effect of a random magnetic field in the convective zone of the Sun superimposed to a regular magnetic field on resonant neutrino spin-flavour oscillations. We argue for the existence of a field of strongly chaotic nature at the bottom of the convective zone. In contrast to previous attempts we employ in addition a model motivated regular twisting magnetic field profile. In this scenario electron antineutrinos are produced through cascades like $\nu_{eL}\to \nu_{\mu L}\to \tilde{\nu}_{eR}$, The expected signals in the different experiments (SK,GALLEX-SAGE, Homestake) are obtained as a function of the level of noise, regular magnetic field and neutrino mixing parameters. Previous results obtained for small mixing and ad-hoc regular magnetic profiles are reobtained. We confirm the strong suppression for large part of the parameter space of the $\tilde{\nu}_{eR}$-flux for high energy boron neutrinos in agreement with present data of the SK experiment. We find that MSW regions ($\Delta m^2\approx 10^{-5}$ eV$^2$, both small and large mixing solutions) are stable up to very large levels of noise (P=0.7-0.8) but they are acceptable from the point of view of antineutrino production only for moderate levels of it ($P\approx 0.95$). For strong noise and reasonable regular magnetic field, any parameter region $(\Delta m^2, \sin^2 2\theta)$ is excluded. As a consequence, we are allowed to reverse the problem and to put limits on r.m.s field strength and transition magnetic moments by demanding a particle physics solution to the SNP under this scenario.