Generic Friedberg-Lee symmetry of Dirac neutrinos

Abstract

We write out the generic Dirac neutrino mass operator which possesses the Friedberg-Lee (FL) symmetry and find that its corresponding neutrino mass matrix is asymmetric. Following a simple way to break the FL symmetry, we calculate the neutrino mass eigenvalues and show that the resultant neutrino mixing pattern is nearly tri-bimaximal. Imposing the Hermitian condition on the neutrino mass matrix, we also show that the simplified ansatz is consistent with current experimental data and favors the normal neutrino mass hierarchy.

Complex Doppler effect in left-handed metamaterials

“…For the same reason, the low frequency ω ± 2 modes have very short wavelengths. Such a complex effect involving reversed frequency shift and negative refraction index producing unreversed wavelength shift is similar to the case of rotational Doppler effect presented in [13].…”

“…Another type of effects which leads to the frequency shift is so-called rotational Doppler effect. This phenomenon occurs when light beam is rotated around its propagation axis and is associated with light beam carrying orbital angular momentum [13].…”

CP violation in neutrino oscillations and new physics

“…If we concentrate on the sensitivity to CP violation, the performance on a neutrino factory especially depends on the values of θ 13 . For smaller values, the main uncertainties in the δ extraction come from the degeneracy problem and a good performance is reached for E µ > 30 GeV and L ∈ [3000 −5000] Km [34] (especially if in combination with another experiment running at the "magic" baseline L ∼ 7500 Km [35]) whereas for larger values matter effects are the main source of uncertainty and a smaller baseline is preferable 4 . Here we consider a neutrino factory with E µ = 50 GeV, for which E νe,νe = 30 GeV and E νµ,νµ = 35 GeV.…”

Goos-Hänchen and Imbert-Fedorov shifts of vortex beams at air–left-handed-material interfaces

“…As a branch of metamaterials, LHM usually refers to those materials whose permittivity and permeability are negative simul- * hailuluo@hnu.edu.cn † scwen@hnu.edu.cn taneously. It has shown very unique properties, like negative refraction [23], inverse Doppler effect [25,26], unreversed rotational Doppler effect [27] and inverse Cherenkov radiation [28]. Apart from these properties, beam shifts in LHM have been demonstrated to be significantly different from right-handed materials (RHM) [29][30][31][32][33].…”