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CPT invariance in neutrino physics has attracted attention after the revival of the hypothetical idea that neutrino and antineutrino might have nonequal masses ($m_{\bar\nu} \neq m_{\nu}$) when realizing neutrino oscillations as a new…

High Energy Physics - Phenomenology · Physics 2010-08-03 I. S. Tsukerman

A general formalism is presented for violations of Lorentz and CPT symmetry in the neutrino sector. The effective hamiltonian for neutrino propagation in the presence of Lorentz and CPT violation is derived, and its properties are studied.…

High Energy Physics - Phenomenology · Physics 2009-09-25 Alan Kostelecky , Matthew Mewes

The effects of perturbative Lorentz and CPT violation on neutrino oscillations are studied. Features include neutrino-antineutrino oscillations, direction dependence, and unconventional energy behavior. Leading-order corrections arising…

High Energy Physics - Phenomenology · Physics 2009-10-20 Jorge S. Diaz , Alan Kostelecky , Matthew Mewes

The interaction of neutrinos with ultralight scalar and vector dark matter backgrounds induce a modification of the neutrino dispersion relation. The effects of this modification are reviewed in the framework of asymmetric emission of…

High Energy Physics - Phenomenology · Physics 2024-01-11 Gaetano Lambiase , Tanmay Kumar Poddar

A general introduction to Lorentz and CPT violation is presented. The observable effects of the breakdown of such fundamental symmetries in neutrinos are outlined and different experimental searches of some of the key signals of Lorentz…

High Energy Physics - Phenomenology · Physics 2011-09-22 Jorge S. Diaz

Lorentz and CPT invariance are among the symmetries that can be investigated with ultrahigh precision in subatomic physics. Being spacetime symmetries, Lorentz and CPT invariance can be violated by minuscule amounts in many theoretical…

High Energy Physics - Phenomenology · Physics 2016-04-21 Ralf Lehnert

It is well known that a fundamental theorem of Quantum Field Theory (QFT) set in at spacetime ensures the CPT invariance of the theory. This symmetry is strictly connected to the Lorentz covariance, and consequently to the fundamental…

High Energy Physics - Phenomenology · Physics 2021-10-19 Vito Antonelli , Lino Miramonti , Marco Danilo Claudio Torri

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

Neutrino oscillations are one of the first evidences of physics beyond the Standard Model (SM). Since Lorentz Invariance is a fundamental symmetry of the SM, recently also neutrino physics has been explored to verify the eventual…

High Energy Physics - Phenomenology · Physics 2018-09-26 V. Antonelli , L. Miramonti , M. D. C. Torri

We investigate matter-induced (or extrinsic) CPT violation effects in neutrino oscillations in matter. Especially, we present approximate analytical formulas for the CPT-violating probability differences for three flavor neutrino…

High Energy Physics - Phenomenology · Physics 2009-05-20 Magnus Jacobson , Tommy Ohlsson

The neutrino propagating in curved spacetimes, e.g. around black holes, in early curved universe, violates Lorentz and then CPT symmetry, at least in the local coordinate. This occurs due to coupling of spin of the neutrino to background…

General Relativity and Quantum Cosmology · Physics 2016-11-15 Banibrata Mukhopadhyay

If one modifies the Dirac equation in momentum space to $[\gamma^{\mu}p_{\mu}-m-\Delta m(\theta(p_{0})-\theta(-p_{0})) \theta(p_{\mu}^{2})]\psi(p)=0$, the symmetry of positive and negative energy eigenvalues is lifted by $m\pm \Delta m$ for…

High Energy Physics - Phenomenology · Physics 2017-04-05 Kazuo Fujikawa , Anca Tureanu

High energy cosmic neutrino observations provide a sensitive test of Lorentz invariance violation, which may be a consequence of quantum gravity theories. We consider a class of non-renormalizable, Lorentz invariance violating operators…

High Energy Physics - Phenomenology · Physics 2015-03-05 Floyd W. Stecker , Sean T. Scully , Stefano Liberati , David Mattingly

One possible feature of quantum gravity may be the violation of Lorentz invariance. In this paper we consider one particular manifestation of the violation of Lorentz invariance, namely modified dispersion relations for massive neutrinos.…

Astrophysics · Physics 2009-11-13 Dean Morgan , Elizabeth Winstanley , Jurgen Brunner , Lee F. Thompson

If dark energy (DE) couples to neutrinos, then there may be apparent violations of Lorentz/CPT invariance in neutrino oscillations. The DE-induced Lorentz/CPT violation takes a specific form that introduces neutrino oscillations that are…

High Energy Physics - Phenomenology · Physics 2010-04-29 Shin'ichiro Ando , Marc Kamionkowski , Irina Mocioiu

In recent years, the breakdown of spacetime symmetries has been identified as a promising research field in the context of Planck-scale phenomenology. For example, various theoretical approaches to the quantum-gravity problem are known to…

High Energy Physics - Phenomenology · Physics 2009-10-08 Ralf Lehnert

In this work, the CPT-violating (CPTV) interactions on neutrons' gravitational bound state are studied. With simple analytical solutions, we provide a preliminary investigation on the Lorentz-violation (LV) induced spin precession due to…

High Energy Physics - Phenomenology · Physics 2020-07-03 Zhi Xiao , Lijing Shao

In this paper we investigate, within the standard model extension framework, the influence of Lorentz- and CPT-violating terms on gravitational quantum states of ultracold neutrons. Using a semiclassical wave packet, we derive the effective…

High Energy Physics - Theory · Physics 2018-06-06 A. Martín-Ruiz , C. A. Escobar

We present a class of interacting nonlocal quantum field theories, in which the CPT invariance is violated while the Lorentz invariance is present. This result rules out a previous claim in the literature that the CPT violation implies the…

High Energy Physics - Theory · Physics 2015-05-27 Masud Chaichian , Alexander D. Dolgov , Victor A. Novikov , Anca Tureanu

In this work we consider the effects of Lorentz Invariance Violation over the observed flux of very high-energy neutrinos. For that, we study the neutrino propagation in a Modified Dispersion Relation scenario with a superluminal velocity.…

High Energy Physics - Phenomenology · Physics 2026-01-22 J. M. Carmona , J. L. Cortés , J. J. Relancio , M. A. Reyes
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