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The modified Dirac equations describing massless and massive spin-1/2 particles violating the Lorentz invariance are considered. The equation for massless fermions with varying speed is formulated in the 16-component first-order form. The…

High Energy Physics - Phenomenology · Physics 2014-03-07 S. I. Kruglov

The kinematics of the three body decay, with a modified energy-momentum relation of the particles due to a violation of Lorentz invariance, is presented in detail in the collinear approximation. The results are applied to the decay of…

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

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 $E^2 =p^2+ \xi_n p^n$ correction due to Lorentz invariance violation. We…

High Energy Physics - Phenomenology · Physics 2014-03-03 Subhendra Mohanty , Soumya Rao

OPERA is a long-baseline experiment at the Gran Sasso laboratory (LNGS) designed to search for $\nu_\mu \rightarrow \nu_\tau$ oscillations in appearance mode. OPERA took data from 2008 to 2012 with the CNGS neutrino beam from CERN. The data…

High Energy Physics - Experiment · Physics 2015-10-02 Giuliana Galati

OPERA is a long baseline neutrino oscillation experiment designed to observe $\nu_{\mu} \to \nu_{\tau}$ oscillations by looking at the appearance of $\nu_{\tau}$'s in an almost pure $\nu_\mu$ beam. The beam is produced at CERN and sent…

High Energy Physics - Experiment · Physics 2008-05-22 Alberto Garfagnini , Ciro Pistillo

We work on some general extensions of the formalism for theories which preserve the relativity of inertial frames with a nonlinear action of the Lorentz transformations on momentum space. Relativistic particle models invariant under the…

High Energy Physics - Theory · Physics 2009-11-10 Alex E. Bernardini , Roldao da Rocha

It continues to be alleged that superluminal influences of any sort would be inconsistent with special relativity for the following three reasons: (i) they would imply the existence of a distinguished' frame; (ii) they would allow the…

History and Philosophy of Physics · Physics 2013-05-22 Kent A. Peacock

We investigate the implications of non-standard interactions on neutrino oscillations in the OPERA experiment. In particular, we study the non-standard interaction parameter $\epsilon_{\mu\tau}$. We show that the OPERA experiment has a…

High Energy Physics - Phenomenology · Physics 2008-11-26 Mattias Blennow , Davide Meloni , Tommy Ohlsson , Francesco Terranova , Mattias Westerberg

Recently, the MINOS collaboration reported an anomaly that the mass-squared difference and mixing angle of $\bar{\nu}_\mu$ $\leftrightarrow$ $\bar{\nu}_\tau$ are both different from that of $\nu_\mu$ $\leftrightarrow$ $\nu_\tau$. In this…

High Energy Physics - Phenomenology · Physics 2011-07-25 Chun Liu , Jin-tao Tian , Zhen-hua Zhao

Quantum theory is widely regarded as fundamentally indeterministic, yet classical frameworks can also exhibit indeterminism once infinite information is abandoned. At the same time, relativity is usually taken to forbid superluminal…

Quantum Physics · Physics 2026-05-29 Amrapali Sen , Flavio Del Santo

Lorentz- and CPT-violating models of electrodynamics with Chern-Simons terms are typically plagued by various sorts of instabilities. However, when the Chern-Simons term arises from a slow time variation in a pseudoscalar field with an…

High Energy Physics - Theory · Physics 2020-08-11 Sapan Karki , Brett Altschul

We discuss some of the tests of Lorentz symmetry made possible by astrophysical observations of ultrahigh energy cosmic rays, gamma-rays, and neutrinos. These are among the most sensitive tests of Lorentz symmetry violation because they are…

High Energy Astrophysical Phenomena · Physics 2017-09-29 Floyd W. Stecker

Low-energy experiments studying single beta decay can serve as sensitive probes of Lorentz invariance that can complement interferometric searches for deviations from this spacetime symmetry. Experimental signatures of a dimension-three…

High Energy Physics - Phenomenology · Physics 2014-08-26 Jorge S. Diaz

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

The time delays between gamma-rays of different energies from extragalactic sources have often been used to probe quantum gravity models in which Lorentz symmetry is violated. It has been claimed that these time delays can be explained by…

High Energy Astrophysical Phenomena · Physics 2014-11-20 Luca Maccione , Stefano Liberati , Guenter Sigl

Recent work has shown that dispersion relations with Planck scale Lorentz violation can produce observable effects at energies many orders of magnitude below the Planck energy M. This opens a window on physics that may reveal quantum…

High Energy Physics - Phenomenology · Physics 2009-11-07 T. Jacobson , S. Liberati , D. Mattingly

High-energy neutrino astronomy will be capable of observing particles at both extremely high energies and over extremely long baselines. These features make such experiments highly sensitive to the effects of CPT and Lorentz violation. In…

High Energy Physics - Phenomenology · Physics 2009-11-11 Dan Hooper , Dean Morgan , Elizabeth Winstanley

Lorentz symmetry is a fundamental space-time symmetry underlying the Standard Model of particle physics and gravity. However, unified theories, such as string theory, allow for violation of this symmetry. Thus, the discovery of Lorentz…

High Energy Physics - Experiment · Physics 2018-09-05 IceCube Collaboration , M. G. Aartsen , M. Ackermann , J. Adams , J. A. Aguilar , M. Ahlers , M. Ahrens , I. Al Samarai , D. Altmann , K. Andeen , T. Anderson , I. Ansseau , G. Anton , C. Argüelles , J. Auffenberg , S. Axani , H. Bagherpour , X. Bai , J. P. Barron , S. W. Barwick , V. Baum , R. Bay , J. J. Beatty , J. Becker Tjus , K. -H. Becker , S. BenZvi , D. Berley , E. Bernardini , D. Z. Besson , G. Binder , D. Bindig , E. Blaufuss , S. Blot , C. Bohm , M. Börner , F. Bos , D. Bose , S. Böser , O. Botner , E. Bourbeau , J. Bourbeau , F. Bradascio , J. Braun , L. Brayeur , M. Brenzke , H. -P. Bretz , S. Bron , J. Brostean-Kaiser , A. Burgman , T. Carver , J. Casey , M. Casier , E. Cheung , D. Chirkin , A. Christov , K. Clark , L. Classen , S. Coenders , G. H. Collin , J. M. Conrad , D. F. Cowen , R. Cross , M. Day , J. P. A. M. de André , C. De Clercq , J. J. DeLaunay , H. Dembinski , S. De Ridder , P. Desiati , K. D. de Vries , G. de Wasseige , M. de With , T. DeYoung , J. C. Díaz-Vélez , V. di Lorenzo , H. Dujmovic , J. P. Dumm , M. Dunkman , E. Dvorak , B. Eberhardt , T. Ehrhardt , B. Eichmann , P. Eller , P. A. Evenson , S. Fahey , A. R. Fazely , J. Felde , K. Filimonov , C. Finley , S. Flis , A. Franckowiak , E. Friedman , T. Fuchs , T. K. Gaisser , J. Gallagher , L. Gerhardt , K. Ghorbani , W. Giang , T. Glauch , T. Glüsenkamp , A. Goldschmidt , J. G. Gonzalez , D. Grant , Z. Griffith , C. Haack , A. Hallgren , F. Halzen , K. Hanson , D. Hebecker , D. Heereman , K. Helbing , R. Hellauer , S. Hickford , J. Hignight , G. C. Hill , K. D. Hoffman , R. Hoffmann , B. Hokanson-Fasig , K. Hoshina , F. Huang , M. Huber , K. Hultqvist , M. Hünnefeld , S. In , A. Ishihara , E. Jacobi , G. S. Japaridze , M. Jeong , K. Jero , B. J. P. Jones , P. Kalaczynski , W. Kang , A. Kappes , T. Karg , A. Karle , T. Katori , U. Katz , M. Kauer , A. Keivani , J. L. Kelley , A. Kheirandish , J. Kim , M. Kim , T. Kintscher , J. Kiryluk , T. Kittler , S. R. Klein , G. Kohnen , R. Koirala , H. Kolanoski , L. Köpke , C. Kopper , S. Kopper , J. P. Koschinsky , D. J. Koskinen , M. Kowalski , K. Krings , M. Kroll , G. Krückl , J. Kunnen , S. Kunwar , N. Kurahashi , T. Kuwabara , A. Kyriacou , M. Labare , J. L. Lanfranchi , M. J. Larson , F. Lauber , M. Lesiak-Bzdak , M. Leuermann , Q. R. Liu , L. Lu , J. Lünemann , W. Luszczak , J. Madsen , G. Maggi , K. B. M. Mahn , S. Mancina , S. Mandalia , R. Maruyama , K. Mase , R. Maunu , F. McNally , K. Meagher , M. Medici , M. Meier , T. Menne , G. Merino , T. Meures , S. Miarecki , J. Micallef , G. Momenté , T. Montaruli , R. W. Moore , M. Moulai , R. Nahnhauer , P. Nakarmi , U. Naumann , G. Neer , H. Niederhausen , S. C. Nowicki , D. R. Nygren , A. Obertacke Pollmann , A. Olivas , A. O'Murchadha , T. Palczewski , H. Pandya , D. V. Pankova , P. Peiffer , J. A. Pepper , C. Pérez de los Heros , D. Pieloth , E. Pinat , M. Plum , P. B. Price , G. T. Przybylski , C. Raab , L. Rädel , M. Rameez , K. Rawlins , I. C. Rea , R. Reimann , B. Relethford , M. Relich , E. Resconi , W. Rhode , M. Richman , S. Robertson , M. Rongen , C. Rott , T. Ruhe , D. Ryckbosch , D. Rysewyk , T. Sälzer , S. E. Sanchez Herrera , A. Sandrock , J. Sandroos , M. Santander , S. Sarkar , S. Sarkar , K. Satalecka , P. Schlunder , T. Schmidt , A. Schneider , S. Schoenen , S. Schöneberg , L. Schumacher , D. Seckel , S. Seunarine , J. Soedingrekso , D. Soldin , M. Song , G. M. Spiczak , C. Spiering , J. Stachurska , M. Stamatikos , T. Stanev , A. Stasik , J. Stettner , A. Steuer , T. Stezelberger , R. G. Stokstad , A. Stößl , N. L. Strotjohann , T. Stuttard , G. W. Sullivan , M. Sutherland , I. Taboada , J. Tatar , F. Tenholt , S. Ter-Antonyan , A. Terliuk , G. Tešić , S. Tilav , P. A. Toale , M. N. Tobin , S. Toscano , D. Tosi , M. Tselengidou , C. F. Tung , A. Turcati , C. F. Turley , B. Ty , E. Unger , M. Usner , J. Vandenbroucke , W. Van Driessche , N. van Eijndhoven , S. Vanheule , J. van Santen , M. Vehring , E. Vogel , M. Vraeghe , C. Walck , A. Wallace , M. Wallraff , F. D. Wandler , N. Wandkowsky , A. Waza , C. Weaver , M. J. Weiss , C. Wendt , J. Werthebach , S. Westerhoff , B. J. Whelan , K. Wiebe , C. H. Wiebusch , L. Wille , D. R. Williams , L. Wills , M. Wolf , J. Wood , T. R. Wood , E. Woolsey , K. Woschnagg , D. L. Xu , X. W. Xu , Y. Xu , J. P. Yanez , G. Yodh , S. Yoshida , T. Yuan , M. Zoll

We tried to fit in any way the recent Opera-Cern claims of a neutrino super-luminal speed with observed Supernova SN1987A neutrino burst and all (or most) neutrino flavor oscillation. We considered three main frame-works: (1) A tachyon…

High Energy Astrophysical Phenomena · Physics 2012-06-15 D. Fargion , D. D'Armiento

Breaking of isotropy and Lorentz boost invariance in the dynamics of second-generation leptons would lead to direction-dependent changes in the lifetimes of charged pions. This would make the intensity of a neutrino beam produced via pion…

High Energy Physics - Phenomenology · Physics 2013-07-03 Brett Altschul