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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

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 consider an extension to the Standard Model (SM) with four new fields including scalar($S$), spinor($\psi^{1,2}$) and vector($V_\mu$) under new $U(1)$ gauge group in the hidden sector. The scalar particle interacts with the SM Higgs…

High Energy Physics - Phenomenology · Physics 2026-02-27 Mojtaba Hosseini

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

We explore a gauged $U(1)_{B-L}$ extension of standard model with inclusion of three right-handed neutrinos of exotic $B-L$ charges to cancel the gauge anomaly. Non-trivial transformation of new particles under $B-L$ symmetry forbids the…

High Energy Physics - Phenomenology · Physics 2022-07-13 Subhasmita Mishra , Nimmala Narendra , Prafulla Kumar Panda , Nirakar Sahoo

In this work, we shall analyze the necessity of a proper definition of the dual structure for Elko spinors, and singular spinors in general. We examine in detail why the Dirac dual structure fails and it is not functional for these cases,…

High Energy Physics - Theory · Physics 2024-12-24 Gabriel Brandão de Gracia , Rodolfo José Bueno Rogerio , Luca Fabbri

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

We investigate a beyond Standard Model (SM) featuring five new fields. Four fields encompassing three distinct spin states - scalar ($ S $), spinor ($ \psi^{1,2} $), and vector ($ V_{\mu} $) - together form the multi-component dark matter…

High Energy Physics - Phenomenology · Physics 2025-09-25 Mohammad Hossein Rahimi Abkenar , Ahmad Mohamadnejad , Reza Sepahvand

General relativity and quantum field theory are the cornerstones of our understanding of physical processes, from subatomic to cosmic scales. While both theories work remarkably well in their tested domains, they show minimal overlap.…

High Energy Physics - Theory · Physics 2025-02-06 Susobhan Mandal , S. Shankaranarayanan

In this paper, the recently-introduced ELKO and the well-known Dirac spinor fields will be compared; however, instead of comparing them under the point of view of their algebraic properties or their dynamical features, we will proceed by…

General Relativity and Quantum Cosmology · Physics 2014-09-12 Luca Fabbri , Stefano Vignolo

The relativistic Dirac equation in four-dimensional spacetime reveals a coherent relation between the dimensions of spacetime and the degrees of freedom of fermionic spinors. A massless Dirac fermion generates new symmetries corresponding…

High Energy Physics - Theory · Physics 2017-09-01 Yue-Liang Wu

Not all complete set of spinors can be used as expansion coefficients of a quantum field. In fact, Steven Weinberg established the uniqueness of Dirac spinors for this purpose provided: (a) one paid due attention to the multiplicative…

High Energy Physics - Theory · Physics 2024-11-15 Dharam Vir Ahluwalia , G. B. de Gracia , Julio M. Hoff da Silva , Cheng-Yang Lee , B. M. Pimentel

Linear spinor fields are a generalization of the Dirac field that have direct correspondence with the known physics of fermions, inherent causality properties in their most fundamental constructions, and positive mass eigenvalues for all…

General Physics · Physics 2016-04-06 James Lindesay

We propose a relativistic theory for spin density matrices of vector mesons based on Kadanoff-Baym equations in the closed-time-path formalism. The theory puts the calculation of spin observables such as the spin density matrix element…

High Energy Physics - Phenomenology · Physics 2023-01-03 Xin-Li Sheng , Lucia Oliva , Zuo-Tang Liang , Qun Wang , Xin-Nian Wang

We investigate the cosmology of massive spinor electrodynamics when torsion is non-vanishing. A non-minimal interaction is introduced between the torsion and the vector field and the coupling constant between them plays an important role in…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-16 Edward J. Kim , Seyen Kouwn , Phillial Oh , Chan-Gyung Park

In this review, the seesaw mechanism for generating the mass of active light neutrinos (both Majorana and Dirac) is considered on the basis of effective field theory. In particular, we review certain models that extend the Standard Model by…

High Energy Physics - Phenomenology · Physics 2024-01-11 A. V. Borisov , A. P. Isaev

A dynamical mechanism, based on a confining non-abelian dark symmetry, which generates Majorana masses for hypercharge-less fermions, is proposed. We apply it to the inverse seesaw scenario, which allows to generate light neutrino masses…

High Energy Physics - Phenomenology · Physics 2024-08-08 Maximilian Berbig , Juan Herrero-Garcia , Giacomo Landini

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

A toy model for the electroweak interactions(without chirality) is proposed in a six dimensional spacetime with 3 timelike and 3 spacelike coordinates. The spacetime interval $ds^2=dx_\mu dx^\mu$ is left invariant under the symmetry group…

High Energy Physics - Theory · Physics 2009-01-28 C. A. Dartora , G. G. Cabrera

We investigate the effective Dirac equation, corrected by merging two scenarios that are expected to emerge towards the quantum gravity scale. Namely, the existence of a minimal length, implemented by the generalized uncertainty principle,…

High Energy Physics - Theory · Physics 2020-08-18 J. M. Hoff da Silva , D. Beghetto , R. T. Cavalcanti , R. da Rocha