Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2009-09-16
Physics
High Energy Physics
High Energy Physics - Phenomenology
5 pages, no figures
Scientific paper
One can describe cosmological relic neutrinos by adding Lagrange multipliers to the Standard Model Lagrangian for them. The two possible Lagrange multipliers are a chemical potential, which fixes the mean neutrino/anti-neutrino asymmetry, and a Majorana mass, which fixes the mean spin-entropy. Because these neutrinos originated from a thermal bath, their entropy should be maximal, implying that each state in the background is a symmetric superposition of a neutrino and anti-neutrino. Therefore the Standard Model must be augmented by a flavor-diagonal Majorana neutrino mass matrix. This impacts the propagator via tadpole diagrams due to self-interactions. In the low-energy limit, neutrino self-interactions are entirely off-diagonal because same-flavor four-fermion operators vanish by Pauli exclusion. These interactions must be diagonalized when propagating through a bath of neutrinos, using the U(3) global flavor symmetry. U(3) gets broken broken down to SO(3) by Majorana masses, and down to $A_4$ if the three masses are different. Thus our universe today contains tri-bimaximal mixing and Majorana neutrinos. Neutrino mixing is due to the mismatch between the flavor-diagonal Majorana mass matrix arising at finite density and the self-interaction diagonal finite density propagator. The mass hierarchy is inverted and Majorana phases are absent. Lepton number is conserved and the neutrino-less double beta decay experiment absorbs a pair of neutrinos from the relic background and will prove their Majorana nature.
No associations
LandOfFree
On The Origin of Neutrino Mass and Mixing in the Standard Model does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with On The Origin of Neutrino Mass and Mixing in the Standard Model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On The Origin of Neutrino Mass and Mixing in the Standard Model will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-583666