Neutrino oscillations from relativistic flavor currents

2002/12/31 by Massimo Blasone, Paulo Pires Pacheco, Paulo Pires Pachêco +2 · 3 citations
Physics and Astronomy · #Astrophysics and Cosmic Phenomena #Neutrino Physics Research #Particle physics theoretical and experimental studies #hep-ph

paper · pdf · doi:10.1103/physrevd.67.073011

published as Phys.Rev.D67:073011,2003 · 16 pages, 4 figures, RevTeX

openalex publication_date 2003/04/17 · arxiv created 2004/02/03 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

By resorting to recent results on the relativistic currents for mixed (flavor) fields, we calculate a space-time dependent neutrino oscillation formula in quantum field theory. Our formulation provides an alternative to existing approaches for the derivation of space dependent oscillation formulas and it also accounts for the corrections due to the nontrivial nature of the flavor vacuum. By exploring different limits of our formula, we recover already known results. We study in detail the case of one-dimensional propagation with Gaussian wave packets both in the relativistic and in the nonrelativistic regions: in the last case, numerical evaluations of our result show significant deviations from the standard formula.

Citations

• Operator relation among neutrino fields and oscillation formulas in matter
• Direct Evidence for Neutrino Flavor Transformation from Neutral-Current Interactions in the Sudbury Neutrino Observatory
• Measurement of the rate of nu_e + d --> p + p + e^- interactions produced by 8B solar neutrinos at the Sudbury Neutrino Observatory

Cited by

• Mixing and oscillations of neutral particles in quantum field theory
• Flavor coupled with chiral oscillations in the presence of an external magnetic field
• Lepton charge and neutrino mixing in pion decay processes