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Depending on deformed canonical anti-commutation relations, massless neutrino oscillation based on Lorentz invariance violation in non-commutative field theory is discussed. It is found that the previous studies about massless neutrino…

High Energy Physics - Phenomenology · Physics 2017-04-05 Cui-Bai Luo , Song Shi , Yi-Lun Du , Yong-Long Wang , Hong-Shi Zong

In this talk, the stationary limit of Lorentz-violating electrodynamics is discussed. As illustrated by some simple examples, the general solution includes unconventional mixing of electrostatic and magnetostatic effects. I discuss a…

High Energy Physics - Phenomenology · Physics 2016-11-03 Quentin G. Bailey

The Standard-Model Extension (SME) provides a theoretical framework for tests of Lorentz invariance. To date, most studies have focused on the minimal SME, which restricts attention to operators of renormalizable dimension. Here, we review…

High Energy Physics - Phenomenology · Physics 2017-08-23 Matthew Mewes

We analyze the consequences of violation of Lorentz and $CPT$ invariance in the massless neutrino sector by deforming the canonical anti-commutation relations for the fields. We show that, for particular choices of the deformation,…

High Energy Physics - Phenomenology · Physics 2008-11-26 Paola Arias , Ashok Das , Jorge Gamboa , Justo Lopez-Sarrion , Fernando Mendez

The theoretical description of fermions in the presence of Lorentz and CPT violation is developed. We classify all Lorentz- and CPT-violating and invariant terms in the quadratic Lagrange density for a Dirac fermion, including operators of…

High Energy Physics - Phenomenology · Physics 2015-06-17 Alan Kostelecky , Matthew Mewes

The general charge-conserving effective scalar field theory incorporating violations of Lorentz symmetry is presented. The dispersion relation is used to infer the effects of spin-independent Lorentz violation on point-particle motion. A…

High Energy Physics - Phenomenology · Physics 2019-05-29 Benjamin R. Edwards

This work tabulates measured and derived values of coefficients for Lorentz and CPT violation in the Standard-Model Extension. Summary tables are extracted listing maximal attained sensitivities in the matter, photon, neutrino, and gravity…

High Energy Physics - Phenomenology · Physics 2026-02-09 Alan Kostelecky , Neil Russell

An overview of recent progress on testing Lorentz and CPT symmetry using Penning traps is presented. The theory of quantum electrodynamics with Lorentz-violating operators of mass dimensions up to six is summarized. Dominant shifts in the…

High Energy Physics - Phenomenology · Physics 2021-09-17 Yunhua Ding , Teague D. Olewiler , Mohammad Farhan Rawnak

We investigate the consequences of higher dimension Lorentz violating, CPT even kinetic operators that couple standard model fields to a non-zero vector field in an Effective Field Theory framework. Comparing the ultra-high energy cosmic…

High Energy Astrophysical Phenomena · Physics 2009-10-02 Luca Maccione , Andrew M. Taylor , David M. Mattingly , Stefano Liberati

Field models with $n$ extra spatial dimensions have a larger $SO(1,3+n)$ Lorentz symmetry which is broken down to the standard $SO(1,3)$ four dimensional one by the compactification process. By considering Lorentz violating operators in a…

High Energy Physics - Theory · Physics 2020-11-25 J. D. García-Aguilar , A. Pérez-Lorenzana

We study the dimensional reduction for a $(3+1)$-dimensional Lorentz Violating Lagrangian in the matter and gauge sectors in a Supersymmetric scenario. We thus obtain an effective model for photons induced by the effects of supersymmetry in…

High Energy Physics - Theory · Physics 2020-04-22 L. D. Bernal , Patricio Gaete , Y. P. M. Gomes , José A. Helayël-Neto

Theories beyond the Standard Model must necessarily respect its gauge symmetry. This implies strict constraints on the possible models of non-standard neutrino interactions, which we analyze. The focus is set on the effective low-energy…

High Energy Physics - Phenomenology · Physics 2009-10-23 M. B. Gavela , D. Hernandez , T. Ota , W. Winter

Superfield realizations of Lorentz-violating extensions of the Wess-Zumino model are presented. These models retain supersymmetry but include terms that explicitly break the Lorentz symmetry. The models can be understood as arising from…

High Energy Physics - Theory · Physics 2009-11-10 M. S. Berger

A non-vanishing vacuum expectation value for an antisymmetric tensor field leads to the violation of Lorentz invariance, controlled by the dimension (-2) parameter, theta_{mu nu}. We assume that the zeroth order term in theta-expansion…

High Energy Physics - Phenomenology · Physics 2017-08-23 Irina Mocioiu , Maxim Pospelov , Radu Roiban

Over the past several decades, dozens of tests have sought Lorentz violation in the nonrelativistic limit of the minimal matter sector of the Standard-Model Extension. Of the 132 Lorentz-violating degrees of freedom that are observable in…

The classification of Lorentz- and CPT-violating operators in nonabelian gauge field theories is performed. We construct all gauge-invariant terms describing propagation and interaction in the action for fermions and gauge fields.…

High Energy Physics - Phenomenology · Physics 2019-04-03 Alan Kostelecky , Zonghao Li

This article reviews many of the observational constraints on Lorentz symmetry violation (LV). We first describe the GZK cutoff and other phenomena that are sensitive to LV. After a brief historical sketch of research on LV, we discuss the…

High Energy Physics - Phenomenology · Physics 2009-11-10 Ted Jacobson , Stefano Liberati , David Mattingly

I present a brief review on the motivation for the study on Lorentz violation and on some of our studies with phenomenological analysis of Lorentz violation effects. I also discuss three effective field theory frameworks for Lorentz…

High Energy Physics - Phenomenology · Physics 2012-05-21 Bo-Qiang Ma

Broken spacetime symmetries might emerge from a fundamental physical theory. The effective low-energy theory might be expected to exhibit violations of supersymmetry and Lorentz invariance. Some illustrative models which combine…

High Energy Physics - Phenomenology · Physics 2016-11-03 M. S. Berger

General violations of Lorentz symmetry can be described by the Standard-Model Extension (SME) framework. The SME predicts modifications to existing physics and can be tested in high-precision experiments. By looking for small deviations…

General Relativity and Quantum Cosmology · Physics 2016-11-01 Rui Xu