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Mass dimension one fermionic fields are prime candidates to describe dark matter, due to their intrinsic neutral nature, as they are constructed as eigenstates of the charge conjugation operator with dual helicity. To formulate the meaning…

High Energy Physics - Phenomenology · Physics 2023-05-17 G. B. de Gracia , A. A. Nogueira , R. da Rocha

In this paper, we provide the first systematic investigation of renormalization group properties of mass dimension one fermions described by ELKO spinors. By construction, ELKOs must be neutral under any Standard Model charge, therefore,…

High Energy Physics - Theory · Physics 2026-02-11 Gustavo P. de Brito

Throughout this paper, we conduct our discussion by a partial review of Elko's Hermiticity, introducing the Hermitian formulation for interacting mass dimension one fermions based on Elko spinor. It includes pivotal observations about…

General Relativity and Quantum Cosmology · Physics 2026-01-21 Gabriel Brandão de Gracia , Rodolfo José Bueno Rogerio

The aim of this work is to explore the possibility to discover a fermionic field with mass dimension one, the Elko field, in the Large Hadron Collider (LHC). Due to its mass dimension, an Elko can only interact either with Standard Model…

High Energy Physics - Phenomenology · Physics 2015-06-18 Alexandre Alves , Fernando de Campos , Marco Dias , Julio M. Hoff da Silva

The fermionic fields constructed from Elko have several unexpected properties. They satisfy the Klein-Gordon but not the Dirac equation and are of mass dimension one instead of three-half. Starting with the Klein-Gordon Lagrangian, we…

High Energy Physics - Theory · Physics 2017-01-04 Cheng-Yang Lee

We study the implications of the ELKO fermions as a cold dark matter candidate. Such fermions arise in theories that are not symmetric under the full Lorentz group. Although they do not carry electric charge, ELKOs can still couple to…

High Energy Physics - Phenomenology · Physics 2015-10-23 Bakul Agarwal , Pankaj Jain , Subhadip Mitra , Alekha C. Nayak , Ravindra K. Verma

The quantum field operator for spin-half Elko describes a massive self-interacting fermionic dark matter candidate of mass dimension one. It has been shown that the theory has a built-in violation of the Lorentz symmetry and a well-defined…

High Energy Physics - Theory · Physics 2015-02-19 Cheng-Yang Lee

This editorial presents the quantum field theoretic ambiance in which Elko and mass dimension one fermions come to exist. This may serve not only to introduce Elko, and the associated quantum field, but it may also open a door to a new…

High Energy Physics - Theory · Physics 2021-03-12 Dharam Vir Ahluwalia

We establish the theoretical foundation of the Wigner superposition field, a quantum field framework for spin-1/2 fermions that exhibit a Wigner doublet -- a discrete quantum number arising from nontrivial representations of the extended…

High Energy Physics - Theory · Physics 2025-06-16 Cheng-Yang Lee , Ruifeng Leng , Siyi Zhou

In this paper, we provide a set of Hermitian interactions for quantum fields based on Elko, considering the recent achievements concerning the most general form of singular spinors and Wigner degeneracy. We consider Hermiticity and…

High Energy Physics - Phenomenology · Physics 2024-12-23 G. B. de Gracia , Roldão da Rocha , R. J. Bueno Rogerio , Cheng-Yang Lee

Not long ago, the definition of eigenspinors of charge-conjugation belonging to a special Wigner class has lead to the unexpected theoretical discovery of a form of matter with spin 1/2 and mass dimension 1, called ELKO matter field; ELKO…

General Relativity and Quantum Cosmology · Physics 2011-10-04 Luca Fabbri

We here provide further details on the construction and properties of mass dimension one quantum fields based on Elko expansion coefficients. We show that by a judicious choice of phases, the locality structure can be dramatically improved.…

High Energy Physics - Theory · Physics 2010-04-12 D. V. Ahluwalia , Cheng-Yang Lee , D. Schritt

The mass dimension one (MDO) fermionic field is built on a complete set of dual-helicity eigenspinors of the charge conjugation operator, which obeys the statistic of Fermi-Dirac. These spinors are a potential candidate for the description…

General Relativity and Quantum Cosmology · Physics 2022-09-21 R. de C. Lima , T. M. Guimarães , S. H. Pereira

The ultralight dark photon is one of intriguing dark matter candidates. The interaction between the visible photon and dark photon is introduced by the gauge kinetic mixing between the field strength tensors of the Abelian gauge groups in…

High Energy Physics - Phenomenology · Physics 2025-02-26 Chang-Jie Dai , Tong Li , Rui-Jia Zhang

In this paper a mass dimension one fermionic sigma model, realized by the eigenspinors of the charge conjugation operator with dual helicity (Elko spinors), is developed. Such spinors are chosen as a specific realization of mass dimension…

High Energy Physics - Theory · Physics 2016-04-06 R. J. Bueno Rogerio , J. M. Hoff da Silva , S. H. Pereira , Roldao da Rocha

We provide the first details on the unexpected theoretical discovery of a spin-one-half matter field with mass dimension one. It is based upon a complete set of dual-helicity eigenspinors of the charge conjugation operator. Due to its…

High Energy Physics - Theory · Physics 2011-06-16 D. V. Ahluwalia-Khalilova , D. Grumiller

A mass dimension one fermion, also known as Elko, constitutes a dark matter candidate which might interact with photons at the tree level in a specific fashion. In this work, we investigate the constraints imposed by unitarity and LHC data…

High Energy Physics - Phenomenology · Physics 2018-04-18 Alexandre Alves , M. Dias , F. de Campos , L. Duarte , J. M. Hoff da Silva

This thesis studies the symmetries and phenomenologies of the massive vector fields of indefinite spin with both scalar and spin-one degrees of freedom and Elko. The investigation is conducted by using and extending the quantum field theory…

High Energy Physics - Theory · Physics 2013-06-26 Cheng-Yang Lee

We analyze the potential of accelerator-based neutrino experiments, such as the Deep Underground Neutrino Experiment, to constrain a five dimensional operator mediating a beyond standard model interaction between mass dimension one fermion…

High Energy Physics - Phenomenology · Physics 2022-10-17 C. A. Moura , F. Kamiya , L. Duarte , M. Dias , J. M. Hoff da Silva

Cosmelkology is the study of Elko in cosmology. Elko is a massive spin-half field of mass dimension one. Elko differs from the Dirac and Majorana fermions because it furnishes the irreducible representation of the extended Poincare group…

High Energy Physics - Theory · Physics 2024-07-19 Cheng-Yang Lee , Haomin Rao , Wenqi Yu , Siyi Zhou
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