Quantum Field Theory of three flavor neutrino mixing and oscillations with CP violation

Abstract

We study in detail the Quantum Field Theory of mixing among three generations of Dirac fermions (neutrinos). We construct the Hilbert space for the flavor fields and determine the generators of the mixing transformations. By use of these generators, we recover all the known parameterizations of the three-flavor mixing matrix and we find a number of new ones. The algebra of the currents associated with the mixing transformations is shown to be a deformed $su(3)$ algebra, when CP violating phases are present. We then derive the exact oscillation formulas, exhibiting new features with respect to the usual ones. CP and T violation are also discussed.

15 pages, 7 figures, RevTeX, revised version

References in corpus (7)

• Quantum Field Theory of boson mixing
• Towards a unique formula for neutrino oscillations in vacuum
• The General Theory of Quantum Field Mixing
• How to Describe Neutrino Mixing and CP Violation
• Remarks on flavor-neutrino propagators and oscillation formulae
• Currents and charges for mixed fields
• Nonperturbative Vacuum Effect in the Quantum Field Theory of Meson Mixing

Cited by in corpus (65)

• Oscillations of neutrinos and mesons in quantum field theory
• Neutrino mixing contribution to the cosmological constant
• Neutrino mixing as a source of dark energy
• Dark energy and particle mixing
• Lepton charge and neutrino mixing in pion decay processes
• Decoherence in neutrino oscillations, neutrino nature and CPT violation
• Neutrinos in curved spacetimes: particle mixing and flavor oscillations
• Decoherent Neutrino Mixing, Dark Energy and Matter-Antimatter Asymmetry
• Fock States of Flavor Neutrinos are Unphysical
• Phenomenology of flavor oscillations with non-perturbative effects from quantum field theory
• Dark energy, cosmological constant and neutrino mixing
• A field-theoretical approach to entanglement in neutrino mixing and oscillations
• Non-thermal signature of the Unruh effect in field mixing
• Neutrino oscillations from relativistic flavor currents
• Fermion mixing in quasi-free states
• Axion-photon mixing in quantum field theory and vacuum energy
• Neutrino Flavor States and the Quantum Theory of Neutrino Oscillations
• Neutrino mixing, flavor states and dark energy
• Revealing neutrino nature and $CPT$ violation with decoherence effects
• Quantum vacuum, dark matter, dark energy and spontaneous supersymmetry breaking
• On the beta-decay of the accelerated proton and neutrino oscillations: a three-flavor description with CP violation
• Neutrino mixing and Lorentz invariance
• Mixing and oscillations of neutral particles in Quantum Field Theory
• On flavor conservation in weak interaction decays involving mixed neutrinos
• Nonextensive Tsallis statistics in Unruh effect for Dirac neutrinos
• Entanglement of Dirac bi-spinor states driven by Poincaré classes of $\mbox{SU}(2) \otimes \mbox{SU}(2)$ coupling potentials
• Non-abelian gauge structure in neutrino mixing
• Particle mixing, flavor condensate and dark energy
• The flavor vacuum in the expanding universe and dark matter
• Heisenberg's Uncertainty Relation and Bell Inequalities in High Energy Physics
• Probing CPT violation in meson mixing by non-cyclic phase
• On the role of the rotations and Bogoliubov transformations in neutrino mixing
• Neutrino capture on tritium as a probe of flavor vacuum condensate and dark matter
• Probing dark matter and quantum field theory effects with Rydberg atoms
• Beyond the MSW effect: Neutrinos in a dense medium
• Dark matter and dark energy induced by condensates
• Non-cyclic phases for neutrino oscillations in quantum field theory
• Spontaneous supersymmetry breaking probed by geometric invariants
• Some non-trivial aspects of Poincaré and CPT invariance of flavor vacuum
• Functional integrals and inequivalent representations in Quantum Field Theory
• A Paradox on Quantum Field Theory of Neutrino Mixing and Oscillations
• Muon $g-2$ anomaly and non-locality
• Boson mixing and flavor oscillations in curved space-time
• Non-relativistic neutrinos and the weak equivalence principle apparent violation
• Spontaneous Supersymmetry Breaking Induced by Vacuum Condensates
• Evolution of coupled classical fields
• Time-to-space conversion in quantum field theory of flavor mixing
• Discriminating sterile neutrinos and unitarity violation with CP invariants
• Interactions and oscillations of coherent flavor eigenstates in beta decay
• Physical flavor neutrino states
• On flavor violation for massive and mixed neutrinos
• Dark energy induced by neutrino mixing
• Doubling of the Algebra and Neutrino Mixing within Noncommutative Spectral Geometry
• Vacuum condensate, geometric phase, Unruh effect and temperature measurement
• Flavor Oscillation from the Two-Point Function
• Generalized generating functional for mixed-representation Green's functions: A quantum mechanical approach
• Fermion mixing in curved spacetime
• Dark Matter and Dark Energy via Non-Perturbative (Flavour) Vacua
• Quantum field theory of axion-photon mixing and vacuum polarization
• Particle mixing as possible explanation of the dark energy conundrum
• Neutrino nature, total and geometric phase
• A comment on lepton mixing
• The Entropic Uncertainty Principle for Decaying Systems and CP violation
• Flavour Condensate and the Dark Sector of the Universe
• Geometric invariants as detector of Hawking and Unruh effects and quantum field theory in curved space