Heavy neutrinos effects for oscillation of light neutrinos at short distances

Sterile neutrinos influence on oscillation characteristics of active neutrinos at short distances in the generalized model of neutrino mixing

“…The (3+N ) or (3+m+n) phenomenological neutrino models can be used to describe the SDA, as well as some astrophysical data, where N = m + n is the number of additional neutrinos, which, in principle, can be arbitrary (see, for example, Refs. 1, 23,51,52). It is desirable that the number of new neutrinos would be minimal, so the most common are the (3+1) and (3+2) models.…”

“…In this paper, we present a phenomenological (3+3) model 52 In order to take into account the contributions of light and heavy SN to the oscillation characteristics of active neutrinos, it will be considered the 6×6 mixing matrix, which can be called as the generalized mixing matrix U mix , or the generalized Pontecorvo-Maki-Nakagawa-Sakata ma- 44 . This matrix can be represented as the matrix product VP , where P is a diagonal matrix with Majorana CP-phases φ i , i = 1, .…”

“…In this paper, we present a phenomenological (3+3) model 52 with three active neutrinos and three SN and consider the effects of SN, which appear in oscillation characteristics of active neutrinos with energies of the order of MeV or dozens of MeV at small distances (of the order of several meters or tens of meters, corresponding to the so-called "short-baseline" (SBL) experiments). In Section II, the main concepts of our (3+3) model (to be exact, the (3+1+2) model) based on the results obtained earlier 4,44 are given in detail, while in Section III the results of detailed calculations of the oscillation characteristics of active neutrinos at small distances with account of effects of SN are presented.…”