Neutrino processes with power law dispersion relations

2011/12/31 by Subhendra Mohanty, Soumya Rao · 4 citations
Mathematics · Physics and Astronomy · #Dispersion relation #Lorentz covariance #Lorentz transformation #Mathematical physics #Mathematics #Momentum (technical analysis) #Neutrino #Neutrino Physics Research #Noncommutative and Quantum Gravity Theories #Nuclear physics #Particle physics #Particle physics theoretical and experimental studies #Physics #Power law #Quantum mechanics #hep-ph

paper · pdf · doi:10.1103/physrevd.85.102005

published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 85(10) (American Physical Society) · 13 pages, 1 figure, Title change, replacement matches version accepted in Phys. Rev. D

arxiv created 2012/05/11 · openalex publication_date 2012/05/30 · arxiv updated 2014/03/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We compute various processes involving neutrinos in the initial and/or final state, and we assume that neutrinos have energy momentum relation with a general power law E²=p²+\ensuremathξ_npⁿ correction due to Lorentz invariance violation. We find that for n>2, the bounds on \ensuremathξ_n from direct time of flight measurement are much more stringent than from constraining the neutrino \ifmmode \checkC\else \vC\fierenkov decay process.

Citations

• Superluminal Neutrinos in a Pseudoscalar Potential
• Relativistic Superluminal Neutrinos
• Superluminal neutrinos at the OPERA?
• Pair Creation Constrains Superluminal Neutrino Propagation
• Superluminal muon-neutrino velocity from a Fermi-point-splitting model of Lorentz violation
• Fermions with Lorentz-violating operators of arbitrary dimension
• Lifshitz-type Quantum Field Theories in Particle Physics
• Possible cosmogenic neutrino constraints on Planck-scale Lorentz violation
• Background Dependent Lorentz Violation from String Theory
• Interpreting OPERA results on superluminal neutrino
• Measurement of neutrino velocity with the MINOS detectors and NuMI neutrino beam
• Measurement of the neutrino velocity with the OPERA detector in the CNGS beam

Cited by

• Lorentz invariance violation as an explanation of the muon excess in Auger data