Neutrino spin-flavor oscillations derived from the mass basis

Abstract

Abstract. We reconsider the standard scheme for description of neutrino spin-flavor oscillations aiming at a rigorous derivation of evolution equation for the mixed flavor neutrino states in magnetic field. For this purpose we obtain the evolution equation in the physical basis of massive neutrinos and then trace its transformation into the flavor basis. The effective Hamiltonian of the resulting equation relevant to interaction with the magnetic field differs from the standard one by several entries. The approach leads to interesting relations of the neutrino magnetic moments defined in the two neutrino bases and to some additional subtle properties of the formalism.

Neutrino eigenstates and flavour, spin and spin-flavour oscillations in a constant magnetic field

“…The neutrino magnetic moment precession in the transversal magnetic field B ⊥ was first considered in [3] (this possibility was also mentioned in [10]), then the spin-flavor precession in vacuum was discussed in [11], the importance of the matter effect was emphasized in [12]. The effect of the resonant amplification of neutrino spin oscillations in B ⊥ in the presence of matter was proposed in [13,14], the magnetic field critical strength the presence of which makes spin oscillations significant was introduced [15], the impact of the longitudinal magnetic field B || was discussed in [16] and just recently in [17]. In a series of papers [18,19,20,21] the solution of the solar neutrino problem was discussed on the basis of neutrino oscillations with a subdominant effect from the neutrino transition magnetic moments conversion in the solar magnetic field (the spin-flavour precession).…”

Neutrino quantum decoherence engendered by neutrino radiative decay

“…Here we use the analogous calculations to those performed in [25,26]. Note that only the third component of the current is responsible for the neutrino decay.…”

Neutrino spin and spin-flavor oscillations in transversal matter currents with standard and nonstandard interactions

“…Recently we have considered in detail [33,41] neutrino mixing and oscillations in the arbitrary constant magnetic field that have B ⊥ and B || nonzero components and derived an explicit expressions for the effective neutrino magnetic moments for the flavor neutrinos in terms of the corresponding magnetic moments introduced in the neutrino mass basis.…”

“…define neutrino helicity states, we have performed calculations that are analogous to those performed in [41].…”