Geometric phase of neutrino propagating through dissipative matter

We study the geometric phase (GP) in neutrino oscillation for both Dirac and Majorana neutrinos. We apply the kinematic generalization of the GP to quantum open systems that take into account the coupling to a dissipative environment. In the dissipationless case, the GP does not depend on the Majorana angle. It is not the case in the presence of dissipation and hence the GP can serve as a tool determining the type of the Dirac vs the Majorana neutrino.

Interference phenomenon and geometric phase for Dirac neutrino in pion+ decay

We analyze the geometric phase in the neutrino oscillation phenomenon, which follows the pion decay pi+ --> mu+ + u_{mu}. Its value pi is consistent with the present-day global analysis of the Standard Model neutrino oscillation parameters, accounting for the nonzero value of theta_13. The impact of the charge-parity (CP) violating phase delta, the neutrinos nature, and the new physics is discussed.

Neutrino oscillations in the presence of the crust magnetization

It is noted that the crustal magnetic spectrum exhibits the signal from the partly correlated domain dipoles on the space-scale up to approximately 500 km. This suggests the nonzero correlation among the dynamical variables of the ferromagnetic magnetization phenomenon on the small domain scale inside the earths crust also. Therefore the influence of the mean of the zero component of the polarization on the CP matter-induced violation indexes is discussed.

Information channel capacity in the field theory estimation

The construction of the information capacity for the vector position parameter in the Minkowskian space-time is presented. This lays the statistical foundations of the kinematical term of the Lagrangian of the physical action for many field theory models, derived by the extremal physical information method of Frieden and Soffer.

Likelihood method and Fisher information in construction of physical models

The subjects of the paper are the likelihood method (LM) and the expected Fisher information (FI) considered from the point od view of the construction of the physical models which originate in the statistical description of phenomena. The master equation case and structural information principle are derived. Then, the phenomenological description of the information transfer is presented. The extreme physical information (EPI) method is reviewed. As if marginal, the statistical interpretation of the amplitude of the system is given. The formalism developed in this paper would be also applied in quantum information processing and quantum game theory.

Neutrino oscillations beyond the Standard Model

We address the possible impact of New Physics on neutrino oscillation experiments. This can modify the neutrino production, propagation and/or detection, making the full cross section non-factorizable in general. Thus, for example, the neutrino flux may not be properly described assuming an unitary MNS matrix and/or neutrinos may propagate differently depending of their Dirac or Majorana character. Interestingly enough, present limits on New Physics still allow for observable effects at future neutrino experiments.

Searching for New Physics in Future Neutrino Factory Experiments

An extension of the New Standard Model, by introducing a mixing of the low mass ``active neutrinos with heavy ones, or by any model with lepton flavor violation, is considered. This leads to non-orthogonal neutrino production and detection states and to modifications of neutrino oscillations in both, vacuum and matter. The possibility of the discovery of such effects in current and future neutrino oscillation experiments is discussed. First order approximation formulas for the flavor transition probabilities in constant density matter, for all experimentally available channels, are given. Numerical calculations of flavor transition probabilities for two sets of New Physics parameters describing a single ``effective heavy neutrino state, both satisfying present experimental constraints, have been performed. Two energy ranges and several baselines, assuming both the current ($pm2sigma$) and the expected in future ($pm3%$) errors of the neutrino oscillation parameters are considered, keeping their present central values. It appears that the biggest potential of the discovery of the possible presence of any New Physics is pronounced in oscillation channels in which $ u_{e}$, $ u_{bar{e}}$ are not involved at all, especially for two baselines, $L=3000 km$ and $L=7500 km$, which for other reasons are also called ``magic for future $Neutrino Factory$ experiments.