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We make a comprehensive investigation of the Lorentz invariance violation (LIV) effects that may occur in two-neutrino double-beta ($2\nu\beta\beta$) decay for all the experimentally interesting nuclei. We deduce the formulas for the LIV…

Nuclear Theory · Physics 2022-04-13 S. A. Ghinescu , O. Nitescu , S. Stoica

Observable effects for the Lorentz invariance violation (LIV) at a low energy scale can also be investigated in double beta decay (DBD). For example, by comparing the theoretical predictions with a precise analysis of the summed energy…

Nuclear Theory · Physics 2020-03-12 Ovidiu Nitescu , Stefan Ghinescu , Sabin Stoica

Lorentz invariance violation (LIV) is a proposed phenomenon where Lorentz symmetry is violated at high energies, potentially affecting particle dynamics and interactions. We use numerical simulations with the CRPropa framework to…

High Energy Astrophysical Phenomena · Physics 2023-07-24 Andrey Saveliev , Rafael Alves Batista

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

Lorentz invariance is a cornerstone of modern physics, yet its possible violation remains both theoretically intriguing and experimentally significant. In this work, using quantum electrodynamics as an example, we explore how Lorentz…

High Energy Physics - Phenomenology · Physics 2026-01-21 Zurab Kepuladze

Unified theories such as string theory and loop quantum gravity allow the Lorentz Invariance Violation (LIV) at the Planck Scale ($M_P \sim 10^{19}$ GeV). Using an effective field theory, this effect can be observed at low energies in terms…

High Energy Physics - Phenomenology · Physics 2023-08-15 Sanjib Kumar Agarwalla , Sudipta Das , Sadashiv Sahoo , Pragyanprasu Swain

We propose a minimal extension to the Standard Model by introducing a Lorentz Invariance Violation (LIV) term into the Z boson's dispersion relation, expressed as $p_\mu p^\mu = M_Z^2 + \delta_{LIV} (p_\mu n^\mu)^2$, where $\delta_{LIV}$…

High Energy Physics - Phenomenology · Physics 2026-04-10 Juansher Jejelava , Zurab Kepuladze

Lorentz invariance violation (LIV) is often described by dispersion relations of the form $E_i^2=m_i^2+p_i^2+\delta_{i,n} E^{2+n}$ with delta different based on particle type $i$, with energy $E$, momentum $p$ and rest mass $m$. Kinematics…

High Energy Astrophysical Phenomena · Physics 2022-01-20 The Pierre Auger Collaboration , P. Abreu , M. Aglietta , J. M. Albury , I. Allekotte , K. Almeida Cheminant , A. Almela , J. Alvarez-Muñiz , R. Alves Batista , G. A. Anastasi , L. Anchordoqui , B. Andrada , S. Andringa , C. Aramo , P. R. Araújo Ferreira , E. Arnone , J. C. Arteaga Velázquez , H. Asorey , P. Assis , G. Avila , A. M. Badescu , A. Bakalova , A. Balaceanu , F. Barbato , J. A. Bellido , C. Berat , M. E. Bertaina , X. Bertou , G. Bhatta , P. L. Biermann , V. Binet , K. Bismark , T. Bister , J. Biteau , J. Blazek , C. Bleve , J. Blümer , M. Boháčová , D. Boncioli , C. Bonifazi , L. Bonneau Arbeletche , N. Borodai , A. M. Botti , J. Brack , T. Bretz , P. G. Brichetto Orchera , F. L. Briechle , P. Buchholz , A. Bueno , S. Buitink , M. Buscemi , M. Büsken , K. S. Caballero-Mora , L. Caccianiga , F. Canfora , I. Caracas , R. Caruso , A. Castellina , F. Catalani , G. Cataldi , L. Cazon , M. Cerda , J. A. Chinellato , J. Chudoba , L. Chytka , R. W. Clay , A. C. Cobos Cerutti , R. Colalillo , A. Coleman , M. R. Coluccia , R. Conceição , A. Condorelli , G. Consolati , F. Contreras , F. Convenga , D. Correia dos Santos , C. E. Covault , S. Dasso , K. Daumiller , B. R. Dawson , J. A. Day , R. M. de Almeida , J. de Jesús , S. J. de Jong , J. R. T. de Mello Neto , I. De Mitri , J. de Oliveira , D. de Oliveira Franco , F. de Palma , V. de Souza , E. De Vito , A. Del Popolo , M. del Río , O. Deligny , L. Deval , A. di Matteo , M. Dobre , C. Dobrigkeit , J. C. D'Olivo , L. M. Domingues Mendes , R. C. dos Anjos , M. T. Dova , J. Ebr , R. Engel , I. Epicoco , M. Erdmann , C. O. Escobar , A. Etchegoyen , H. Falcke , J. Farmer , G. Farrar , A. C. Fauth , N. Fazzini , F. Feldbusch , F. Fenu , B. Fick , J. M. Figueira , A. Filipčič , T. Fitoussi , T. Fodran , T. Fujii , A. Fuster , C. Galea , C. Galelli , B. García , A. L. Garcia Vegas , H. Gemmeke , F. Gesualdi , A. Gherghel-Lascu , P. L. Ghia , U. Giaccari , M. Giammarchi , J. Glombitza , F. Gobbi , F. Gollan , G. Golup , M. Gómez Berisso , P. F. Gómez Vitale , J. P. Gongora , J. M. González , N. González , I. Goos , D. Góra , A. Gorgi , M. Gottowik , T. D. Grubb , F. Guarino , G. P. Guedes , E. Guido , S. Hahn , P. Hamal , M. R. Hampel , P. Hansen , D. Harari , V. M. Harvey , A. Haungs , T. Hebbeker , D. Heck , G. C. Hill , C. Hojvat , J. R. Hörandel , P. Horvath , M. Hrabovský , T. Huege , A. Insolia , P. G. Isar , P. Janecek , J. A. Johnsen , J. Jurysek , A. Kääpä , K. H. Kampert , N. Karastathis , B. Keilhauer , A. Khakurdikar , V. V. Kizakke Covilakam , H. O. Klages , M. Kleifges , J. Kleinfeller , F. Knapp , N. Kunka , B. L. Lago , R. G. Lang , N. Langner , M. A. Leigui de Oliveira , V. Lenok , A. Letessier-Selvon , I. Lhenry-Yvon , D. Lo Presti , L. Lopes , R. López , L. Lu , Q. Luce , J. P. Lundquist , A. Machado Payeras , G. Mancarella , D. Mandat , B. C. Manning , J. Manshanden , P. Mantsch , S. Marafico , F. M. Mariani , A. G. Mariazzi , I. C. Mariş , G. Marsella , D. Martello , S. Martinelli , O. Martínez Bravo , M. Mastrodicasa , H. J. Mathes , J. Matthews , G. Matthiae , E. Mayotte , S. Mayotte , P. O. Mazur , G. Medina-Tanco , D. Melo , A. Menshikov , S. Michal , M. I. Micheletti , L. Miramonti , S. Mollerach , F. Montanet , L. Morejon , C. Morello , M. Mostafá , A. L. Müller , M. A. Muller , K. Mulrey , R. Mussa , M. Muzio , W. M. Namasaka , A. Nasr-Esfahani , L. Nellen , G. Nicora , M. Niculescu-Oglinzanu , M. Niechciol , D. Nitz , D. Nosek , V. Novotny , L. Nožka , A Nucita , L. A. Núñez , C. Oliveira , M. Palatka , J. Pallotta , P. Papenbreer , G. Parente , A. Parra , J. Pawlowsky , M. Pech , J. Pękala , R. Pelayo , J. Peña-Rodriguez , E. E. Pereira Martins , J. Perez Armand , C. Pérez Bertolli , M. Perlin , L. Perrone , S. Petrera , C. Petrucci , T. Pierog , M. Pimenta , V. Pirronello , M. Platino , B. Pont , M. Pothast , P. Privitera , M. Prouza , A. Puyleart , S. Querchfeld , J. Rautenberg , D. Ravignani , M. Reininghaus , J. Ridky , F. Riehn , M. Risse , V. Rizi , W. Rodrigues de Carvalho , J. Rodriguez Rojo , M. J. Roncoroni , S. Rossoni , M. Roth , E. Roulet , A. C. Rovero , P. Ruehl , A. Saftoiu , M. Saharan , F. Salamida , H. Salazar , G. Salina , J. D. Sanabria Gomez , F. Sánchez , E. M. Santos , E. Santos , F. Sarazin , R. Sarmento , C. Sarmiento-Cano , R. Sato , P. Savina , C. M. Schäfer , V. Scherini , H. Schieler , M. Schimassek , M. Schimp , F. Schlüter , D. Schmidt , O. Scholten , H. Schoorlemmer , P. Schovánek , F. G. Schröder , J. Schulte , T. Schulz , S. J. Sciutto , M. Scornavacche , A. Segreto , S. Sehgal , R. C. Shellard , G. Sigl , G. Silli , O. Sima , R. Smau , R. Šmída , P. Sommers , J. F. Soriano , R. Squartini , M. Stadelmaier , D. Stanca , S. Stanič , J. Stasielak , P. Stassi , A. Streich , M. Suárez-Durán , T. Sudholz , T. Suomijärvi , A. D. Supanitsky , Z. Szadkowski , A. Tapia , C. Taricco , C. Timmermans , O. Tkachenko , P. Tobiska , C. J. Todero Peixoto , B. Tomé , Z. Torrès , A. Travaini , P. Travnicek , C. Trimarelli , M. Tueros , R. Ulrich , M. Unger , L. Vaclavek , M. Vacula , J. F. Valdés Galicia , L. Valore , E. Varela , A. Vásquez-Ramírez , D. Veberič , C. Ventura , I. D. Vergara Quispe , V. Verzi , J. Vicha , J. Vink , S. Vorobiov , H. Wahlberg , C. Watanabe , A. A. Watson , A. Weindl , L. Wiencke , H. Wilczyński , D. Wittkowski , B. Wundheiler , A. Yushkov , O. Zapparrata , E. Zas , D. Zavrtanik , M. Zavrtanik , L. Zehrer

Lorentz invariance is one of the fundamental tenets of Special Relativity, and has been extensively tested with laboratory and astrophysical observations. However, many quantum gravity models and theories beyond the Standard Model of…

Cosmology and Nongalactic Astrophysics · Physics 2024-05-14 Shantanu Desai

Expanding on our prior efforts to search for Lorentz invariance violation (LIV) using the linear optical polarimetry of extragalactic objects, we propose a new method that combines linear and circular polarization measurements. While…

Cosmology and Nongalactic Astrophysics · Physics 2021-05-25 Roman Gerasimov , Praneet Bhoj , Fabian Kislat

Lorentz invariance violation (LIV) can have multiple consequences on very-high energy gamma rays' emission, propagation, and detection, such as energy-dependent photon group velocity, photon instability, vacuum birefringence, and modified…

High Energy Astrophysical Phenomena · Physics 2025-09-19 Tomislav Terzić , Karlo Mrakovčić

Lorentz invariance violation (LIV) is a phenomenon featuring in various quantum gravity models whereby Lorentz symmetry is broken at high energies, potentially impacting the behaviour of particles and their interactions. Here we investigate…

High Energy Astrophysical Phenomena · Physics 2025-06-30 Andrey Saveliev , Rafael Alves Batista

Familiar concepts in physics, such as Lorentz symmetry, are expected to be broken at energies approaching the Planck energy scale as predicted by several quantum-gravity theories. However, such very large energies are unreachable by current…

High Energy Astrophysical Phenomena · Physics 2023-11-22 Hassan Abdalla , Garret Cotter , Michael Backes , Eli Kasai , Markus Böttcher

Lorentz symmetry is one of the cornerstone of both general relativity and the standard model of particle physics. We study the violation of Lorentz symmetry in some basic phenomena in atomic physics. Using the Green's function, and the…

Quantum Physics · Physics 2022-02-28 Z. Shafeei , S. A. Alavi

The spectral lags of gamma-ray bursts (GRBs) have been viewed as the most promising probes of the possible violations of Lorentz invariance (LIV). However, these constraints usually depend on the assumption of the unknown intrinsic time lag…

High Energy Astrophysical Phenomena · Physics 2021-01-06 Shen-Shi Du , Lin Lan , Jun-Jie Wei , Zi-Ming Zhou , He Gao , Lu-Yao Jiang , Bin-Bin Zhang , Zi-Ke Liu , Xue-Feng Wu , En-Wei Liang , Zong-Hong Zhu

Recently the LHAASO Collaboration published the detection of 12 ultra-high-energy gamma-ray sources above 100 TeV, with the highest energy photon reaching 1.4 PeV. The first detection of PeV gamma rays from astrophysical sources may provide…

High Energy Astrophysical Phenomena · Physics 2026-01-13 Zhen Cao , F. Aharonian , Q. An , Axikegu , L. X. Bai , Y. X. Bai , Y. W. Bao , D. Bastieri , X. J. Bi , Y. J. Bi , H. Cai , J. T. Cai , Zhe Cao , J. Chang , J. F. Chang , B. M. Chen , E. S. Chen , J. Chen , Liang Chen , Liang Chen , Long Chen , M. J. Chen , M. L. Chen , Q. H. Chen , S. H. Chen , S. Z. Chen , T. L. Chen , X. L. Chen , Y. Chen , N. Cheng , Y. D. Cheng , S. W. Cui , X. H. Cui , Y. D. Cui , B. D'Ettorre Piazzoli , B. Z. Dai , H. L. Dai , Z. G. Dai , Danzengluobu , D. della Volpe , X. J. Dong , K. K. Duan , J. H. Fan , Y. Z. Fan , Z. X. Fan , J. Fang , K. Fang , C. F. Feng , L. Feng , S. H. Feng , Y. L. Feng , B. Gao , C. D. Gao , L. Q. Gao , Q. Gao , W. Gao , M. M. Ge , L. S. Geng , G. H. Gong , Q. B. Gou , M. H. Gu , F. L. Guo , J. G. Guo , X. L. Guo , Y. Q. Guo , Y. Y. Guo , Y. A. Han , H. H. He , H. N. He , J. C. He , S. L. He , X. B. He , Y. He , M. Heller , Y. K. Hor , C. Hou , X. Hou , H. B. Hu , S. Hu , S. C. Hu , X. J. Hu , D. H. Huang , Q. L. Huang , W. H. Huang , X. T. Huang , X. Y. Huang , Z. C. Huang , F. Ji , X. L. Ji , H. Y. Jia , K. Jiang , Z. J. Jiang , C. Jin , T. Ke , D. Kuleshov , K. Levochkin , B. B. Li , Cheng Li , Cong Li , F. Li , H. B. Li , H. C. Li , H. Y. Li , Jian Li , Jie Li , K. Li , W. L. Li , X. R. Li , Xin Li , Xin Li , Y. Li , Y. Z. Li , Zhe Li , Zhuo Li , E. W. Liang , Y. F. Liang , S. J. Lin , B. Liu , C. Liu , D. Liu , H. Liu , H. D. Liu , J. Liu , J. L. Liu , J. S. Liu , J. Y. Liu , M. Y. Liu , R. Y. Liu , S. M. Liu , W. Liu , Y. Liu , Y. N. Liu , Z. X. Liu , W. J. Long , R. Lu , H. K. Lv , B. Q. Ma , L. L. Ma , X. H. Ma , J. R. Mao , A. Masood , Z. Min , W. Mitthumsiri , T. Montaruli , Y. C. Nan , B. Y. Pang , P. Pattarakijwanich , Z. Y. Pei , M. Y. Qi , Y. Q. Qi , B. Q. Qiao , J. J. Qin , D. Ruffolo , V. Rulev , A. S'aiz , L. Shao , O. Shchegolev , X. D. Sheng , J. R. Shi , H. C. Song , Yu. V. Stenkin , V. Stepanov , Y. Su , Q. N. Sun , X. N. Sun , Z. B. Sun , P. H. T. Tam , Z. B. Tang , W. W. Tian , B. D. Wang , C. Wang , H. Wang , H. G. Wang , J. C. Wang , J. S. Wang , L. P. Wang , L. Y. Wang , R. N. Wang , W. Wang , W. Wang , X. G. Wang , X. J. Wang , X. Y. Wang , Y. Wang , Y. D. Wang , Y. J. Wang , Y. P. Wang , Z. H. Wang , Z. X. Wang , Zhen Wang , Zheng Wang , D. M. Wei , J. J. Wei , Y. J. Wei , T. Wen , C. Y. Wu , H. R. Wu , S. Wu , W. X. Wu , X. F. Wu , S. Q. Xi , J. Xia , J. J. Xia , G. M. Xiang , D. X. Xiao , G. Xiao , H. B. Xiao , G. G. Xin , Y. L. Xin , Y. Xing , D. L. Xu , R. X. Xu , L. Xue , D. H. Yan , J. Z. Yan , C. W. Yang , F. F. Yang , J. Y. Yang , L. L. Yang , M. J. Yang , R. Z. Yang , S. B. Yang , Y. H. Yao , Z. G. Yao , Y. M. Ye , L. Q. Yin , N. Yin , X. H. You , Z. Y. You , Y. H. Yu , Q. Yuan , H. D. Zeng , T. X. Zeng , W. Zeng , Z. K. Zeng , M. Zha , X. X. Zhai , B. B. Zhang , H. M. Zhang , H. Y. Zhang , J. L. Zhang , J. W. Zhang , L. X. Zhang , Li Zhang , Lu Zhang , P. F. Zhang , P. P. Zhang , R. Zhang , S. R. Zhang , S. S. Zhang , X. Zhang , X. P. Zhang , Y. F. Zhang , Y. L. Zhang , Yi Zhang , Yong Zhang , B. Zhao , J. Zhao , L. Zhao , L. Z. Zhao , S. P. Zhao , F. Zheng , Y. Zheng , B. Zhou , H. Zhou , J. N. Zhou , P. Zhou , R. Zhou , X. X. Zhou , C. G. Zhu , F. R. Zhu , H. Zhu , K. J. Zhu , X. Zuo

Lorentz invariant violation (LIV) test is very important to study in the new physics. All the known astrophysical constraints either have a very small examinable parameter space, or are only suitable for some special theoretical models.…

Astrophysics · Physics 2009-08-07 Cong-Xin Qiu , Zi-Gao Dai

The Lorentz invariance violation (LIV) predicted by some quantum gravity theories would manifest as an energy-dependent speed of light, which may potentially distort the observed temporal profile of photons from astrophysical sources at…

High Energy Astrophysical Phenomena · Physics 2025-11-10 Yu-Chen Hua , Xiao-Jun Bi , Yu-Ming Yang , Peng-Fei Yin

Lorentz Violation (LV) is posited as a possible relic effect of quantum gravity at low energy scales. The Standard-Model Extension provides an effective field-theoretic framework for examining possible deviations attributed to LV. With…

High Energy Astrophysical Phenomena · Physics 2024-04-12 Yiming Dong , Ziming Wang , Lijing Shao

Lorentz Invariance Violation (LIV) presents an intriguing opportunity to investigate fundamental symmetries, with neutrinos serving as a particularly effective probe for this phenomenon. Long-baseline neutrino experiments, such as the Deep…

High Energy Physics - Phenomenology · Physics 2024-10-15 Shashank Mishra , Saurabh Shukla , Lakhwinder Singh , Venktesh Singh
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