Radiative corrections to neutrino indices of refraction

Phenomenological implications of neutrinos in extra dimensions

“…The corresponding "matter potential," however, is too small to solve the solar neutrino puzzle or affect significantly the SM effect due to charged current ν e − e scattering. On the other hand, the SM matter effects in ν µ ↔ ν τ oscillations are suppressed by ∼ (m τ /πM W ) 2 [33], so that non SM effects could be dominant and perhaps detectable. In the minimal flat model, ν µ ↔ ν τ oscillations in neutral matter are modified to…”

Mu-tau neutrino refraction and collective three-flavor transformations in supernovae

“…In the absence of neutrino-neutrino interactions, since the L-resonance is always adiabatic, the e 's leave the star as 2 . In the case of e the evolution depends on sin 2 13 [6]. For values larger than 10 ÿ3 they propagate also adiabatically (MSW transformation) and escape as 3 , whereas for values smaller than 10 ÿ5 the transition at the H-resonance is strongly nonadiabatic: there is a jump of matter eigenstates from the e 's leave the star as 1 .…”

Neutrino oscillations beyond two flavours

“…(1) because they are the same for neutrinos of all three species and therefore do not affect neutrino oscillations. This, however, is only true in leading (tree) order; radiative corrections induce tiny differences between the neutral current potentials of ν e , ν µ and ν τ and, in particular, result in a very small ν µ -ν τ potential difference V µτ ∼ 10 −5 V [1]. This quantity is negligible in most situations but may be important for supernova neutrinos.…”

“…However, until relatively recently most of the studies of neutrino oscillations were performed in the 2-flavour framework. There were essentially two reasons for that: (1) simplicity -there are much fewer parameters in the 2-flavour case than in the 3-flavour one, and the expressions for the transition probabilities are much simpler and by far more tractable, and (2) the hierarchy of ∆m 2 values, which allows to effectively decouple different oscillation channels. The 2-flavour approach proved to be a good first approximation, which is a consequence of the hierarchy ∆m ⊙ ≪ ∆m atm and of the smallness of the leptonic mixing parameter |U e3 |.…”