Effect of a random magnetic field on active-sterile neutrino conversion inthe supernova core - art. no. 023003

The active-sterile neutrino conversion is studied for a neutrino propagatin g in the axial potential generated by a magnetized electron plasma in the s upernova medium. We consider the effects of a random magnetic field B-rns o n the average neutrino conversion probability. We obtain the constraint on Delta m(2) and sin(2)2 theta for different strengths of the random magnetic fields by considering the positive definiteness of the average neutrino co nversion probability inside the supernova core. Our calculation shows that, to have Delta m(2)less than or similar to keV(2), a random magnetic field of B(rms)less than or similar to 0.63 x 10(14) G is preferable.