# Lorentz breaking and SU(2)L × U(1)Y gauge invariance for neutrinos

@article{Jentschura2019LorentzBA, title={Lorentz breaking and SU(2)L × U(1)Y gauge invariance for neutrinos}, author={Ulrich D. Jentschura and I N{\'a}ndori and G'abor Somogyi}, journal={International Journal of Modern Physics E}, year={2019} }

Conceivable Lorentz-violating effects in the neutrino sector remain a research area of great general interest, as they touch upon the very foundations on which the Standard Model and our general understanding of fundamental interactions are laid. Here, we investigate the relation of Lorentz violation in the neutrino sector in light of the fact that neutrinos and the corresponding left-handed charged leptons form [Formula: see text] doublets under the electroweak gauge group. Lorentz-violating…

## 3 Citations

Implications of SU(2)L gauge invariance for constraints on Lorentz violation

- PhysicsJournal of High Energy Physics
- 2021

Abstract
Lorentz invariance may only be broken far above the electroweak scale, since violations are experimentally stringently constrained. Therefore, the Standard-Model Extension parameterizing…

Squeezing the Parameter Space for Lorentz Violation in the Neutrino Sector with Additional Decay Channels

- Physics
- 2020

The hypothesis of Lorentz violation in the neutrino sector has intrigued scientists for the last two to three decades. A number of theoretical arguments support the emergence of such violations first…

Astrophysical Neutrinos in Testing Lorentz Symmetry

- PhysicsGalaxies
- 2021

An overview of searches related to neutrinos of astronomical and astrophysical origin performed within the framework of the Standard-Model Extension is provided. For this effective field theory, key…

## References

SHOWING 1-10 OF 43 REFERENCES

Neutrino in Standard Model and beyond

- Physics
- 2015

After discovery of the Higgs boson at CERN the Standard Model acquired a status of the theory of the elementary particles in the electroweak range (up to about 300 GeV). What general conclusions can…

Neutrinos with Lorentz-violating operators of arbitrary dimension

- Physics
- 2013

The behavior of fermions in the presence of Lorentz and CPT violation is studied. Allowing for operators of any mass dimension, we classify all Lorentz-violating terms in the quadratic Lagrange…

Neutrino interferometry for high-precision tests of Lorentz symmetry with IceCube

- Physics
- 2018

Lorentz symmetry is a fundamental spacetime symmetry underlying both the standard model of particle physics and general relativity. This symmetry guarantees that physical phenomena are observed to be…

Electrodynamics with Lorentz-violating operators of arbitrary dimension

- Physics
- 2009

The behavior of photons in the presence of Lorentz and CPT violation is studied. Allowing for operators of arbitrary mass dimension, we classify all gauge-invariant Lorentz- and CPT-violating terms…

Spontaneous Lorentz violation: Non-Abelian gauge fields as pseudo-Goldstone vector bosons

- Physics
- 2008

Nonlinear QED and Physical Lorentz Invariance

- Physics
- 2006

The spontaneous breakdown of 4-dimensional Lorentz invariance in the framework of QED with the nonlinear vector potential constraint A{sub {mu}}{sup 2}=M{sup 2} (where M is a proposed scale of the…

Neutrino splitting for Lorentz-violating neutrinos: Detailed analysis

- PhysicsPhysical Review D
- 2019

Lorentz-violating neutrino parameters have been severely constrained on the basis of astrophysical considerations. In the high-energy limit, one generally assumes a superluminal dispersion relation…

High-energy tests of Lorentz invariance

- Physics
- 1999

We develop a perturbative framework with which to discuss departures from exact Lorentz invariance and explore their potentially observable ramifications. Tiny noninvariant terms introduced into the…