Genuine, Matter-Induced and Interference components of CPV, TRV and CPTV asymmetries in neutrino oscillations.

The Physics of Discrete Asymmetries for Neutrino Oscillations in Matter is discused in terms of a basis of 3 independent components in correspondence with invariance under CPT(genuine), T(matter) and CP(interference). They have definite parities under the baseline L -theory independent-, the imaginary part sin(δ) of the flavor mixing, the matter potential "a" and the hierarchy "h" of the neutrino spectrum. The two CPT-odd A(CP,CPT) and A(T,CPT) components are odd in the matter potential "a". However, there is a very interesting distinction between these two fake components: whereas the first can be induced by CPV matter alone without any fundamental CPV for neutrinos, a positive answer exists to the question on the existence of a matter-induced A(T,CPT) component, for even T-symmetric matter. Are you surprised? The seminar will clarify the non-disjunctive quantum logic involved. A direct observation of Symmetry Breaking requires the measurement in a single experiment of an observable odd under the symmetry, like the genuine A(CP,T) component for CPV. How to disentangle it? The two experimental TRV-Asymmetries for neutrinos and antineutrinos, odd in L and sin(δ), could separate the genuine CPV component and the fake CP-even interference component A(T,CPT), for the same baseline L and energy E. With muon neutrino and antineutrino sources only, available at present, the experimental CPV-Asymmetry can separate the genuine CPV component and the fake matter-induced component A(CP,CPT) by either L-dependence(HKK) or E-dependence(DUNE). The two fake components A(CP,CPT) and A(T,CPT) vanish at the same MAGIC ENERGY, independent(!) of h, δ and a: this magic connection L/E = 1420 Km/GeV appears near the second oscillation maximum, where the genuine component A(CP,T) is also maximal.