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This paper aims to investigate the localization of the five-dimensional spinor field known as Elko (dual-helicity eigenspinors of the charge conjugation operator) by employing a Yukawa-like geometrical coupling in which the Elko field is…

General Relativity and Quantum Cosmology · Physics 2023-06-21 F. M. Belchior , A. R. P. Moreira , R. V. Maluf , C. A. S. Almeida

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

Dual-helicity eigenspinors of the charge conjugation operator (ELKO spinor fields) belong, together with Majorana spinor fields, to a wider class of spinor fields, the so-called flagpole spinor fields, corresponding to the class (5),…

Mathematical Physics · Physics 2008-11-26 Roldao da Rocha , Julio M. Hoff da Silva

Recently, a new spin-1/2 fermionic quantum field with mass dimension one in four dimensions--Elko field $\lambda$ was introduced as a candidate of dark matter. In this paper, we investigate the localization of 5D Elko {spinors} on Minkowski…

High Energy Physics - Theory · Physics 2012-10-16 Yu-Xiao Liu , Xiang-Nan Zhou , Ke Yang , Feng-Wei Chen

It has been found that the zero mode of a five-dimensional Elko spinor could be localized on branes by introducing a Yukawa-type coupling between the Elko spinor and the background scalar field or the Ricci scalar. However, the Yukawa-type…

High Energy Physics - Theory · Physics 2018-08-08 Xiang-Nan Zhou , Yun-Zhi Du , Hua-Zhen Zhao , Yu-Xiao Liu

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

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

Different from the Dirac spinor, the localization of a five-dimensional Elko spinor on a brane with codimension one is very difficult because of the special structure of the Elko spinor. By introducing the coupling between the Elko spinor…

High Energy Physics - Theory · Physics 2022-11-09 Xiang-Nan Zhou , Xin-Yuan Ma , Zhen-Hua Zhao , Yun-Zhi Du

Mass dimension one quantum fields, constructed upon eigenspinors of the charge conjugation operator with dual helicity (ELKO), are prime candidates to describe dark matter. Their interaction with the photon and the proton, in scattering…

High Energy Physics - Theory · Physics 2022-06-27 G. B. de Gracia , R. da Rocha

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

In this work we analyze the zero mode localization and resonances of $1/2-$spin fermions in co-dimension one Randall-Sundrum braneworld scenarios. We consider delta-like, domain walls and deformed domain walls membranes. Beyond the…

High Energy Physics - Theory · Physics 2018-03-14 W. M. Mendes , G. Alencar , R. R. Landim

We investigate the constraint equations of the Lounesto spinor fields classification and show that it can be used to completely characterize all the singular classes, which are potential accommodations for further mass dimension one…

High Energy Physics - Theory · Physics 2014-10-17 R. T. Cavalcanti

Dual-helicity eigenspinors of the charge conjugation operator (ELKO spinor fields) belong -- together with Majorana spinor fields -- to a wider class of spinor fields, the so-called flagpole spinor fields, corresponding to the class-(5),…

Mathematical Physics · Physics 2009-06-03 Roldao da Rocha , J. M. Hoff da Silva

Exotic dark spinor fields are introduced and investigated in the context of inequivalent spin structures on arbitrary curved spacetimes, which induces an additional term on the associated Dirac operator, related to a Cech cohomology class.…

High Energy Physics - Theory · Physics 2011-05-13 Roldao da Rocha , Alex E. Bernardini , J. M. Hoff da Silva

Recently, the so-called Elko spinor field has been proposed to be a candidate of dark energy. It is a non-standard spinor and has unusual properties. When the Elko spinor field is used in cosmology, its unusual properties could bring some…

General Relativity and Quantum Cosmology · Physics 2010-12-21 Hao Wei

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

In a previous paper we explicitly constructed a mapping that leads Dirac spinor fields to the dual-helicity eigenspinors of the charge conjugation operator (ELKO spinor fields). ELKO spinor fields are prime candidates for describing dark…

Mathematical Physics · Physics 2011-02-08 Roldao da Rocha , J. M. Hoff da Silva

In the present essay we review the underlying physical information behind the first concrete example describing a mass dimension one fermion - namely Elko spinors. We start the program exploring the physical information by evaluating the…

High Energy Physics - Theory · Physics 2019-11-22 R. J. Bueno Rogerio , C. H. Coronado Villalobos , D. Beghetto , A. R. Aguirre

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

An intrinsic mass generation mechanism for exotic ELKO dark matter fields is scrutinized, in the context of the very special relativity (VSR). Our results are reported on unraveling inequivalent spin structures that educe an additional term…

High Energy Physics - Theory · Physics 2012-10-08 Alex E. Bernardini , Roldao da Rocha
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