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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

Let $\Theta$ be the Wigner time reversal operator for spin half and let $\phi$ be a Weyl spinor. Then, for a left-transforming $\phi$, the construct $\zeta_\lambda \Theta \phi^\ast$ yields a right-transforming spinor. If instead, $\phi$ is…

High Energy Physics - Phenomenology · Physics 2022-05-12 Dharam Vir Ahluwalia , Julio M. Hoff da Silva , Cheng-Yang Lee , Yu-Xiao Liu , Saulo H. Pereira , Masoumeh Moazzen Sorkhi

We study the loop corrections to the scalar propagator and the fermionic self-energy for the mass dimension one fermionic dark matter with the Yukawa interaction. We find, in the former case, there is a non-vanishing Lorentz-violating term…

High Energy Physics - Phenomenology · Physics 2016-10-18 Marco Dias , Cheng-Yang Lee

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 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

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

We present the derivation of a supersymmetric model for fermionic fields with integer valued mass dimension based on a general superfield with one free spinor index. First, we demonstrate that it is impossible to formulate such a model…

High Energy Physics - Theory · Physics 2015-05-20 Kai E. Wunderle , Rainer Dick

With a non-unitary transformation, the Lagrangian of a Dirac fermion is decomposed into two decoupled sectors. We propose to describe massive relativistic fermions in gauge theories in a two-component form. All relations between the Green's…

High Energy Physics - Phenomenology · Physics 2007-05-23 YU-Qi Chen

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

Since the 1928 seminal work of Dirac, and its subsequent development by Weinberg, a view is held that there is a unique Fermi field of spin one-half. It is endowed with mass dimension three-half. Combined, these characteristics profoundly…

High Energy Physics - Theory · Physics 2016-05-10 Dharam Vir Ahluwalia

A self-contained review on spin-half mass dimension one fermions and their higher-spin generalizations is presented. Starting from the two-component left-handed Weyl spinors, the Dirac spinors and Elko (eigenspinors of the charge…

High Energy Physics - Theory · Physics 2020-10-28 Cheng-Yang Lee

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

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

We present a model for dark matter with extra spatial dimensions in which Standard-Model (SM) fermions have localized wave functions. The underlying gauge group is $G_{\rm SM} \otimes {\rm U}(1)_z$, and the dark matter particle is a…

High Energy Physics - Phenomenology · Physics 2021-12-21 S. Girmohanta , R. Shrock

We consider Majorana dark matter annihilation to fermion - anti-fermion pair and a photon in the effective field theory paradigm, by introducing dimension 6 and dimension 8 operators in the Lagrangian. For a given value of the cut-off…

High Energy Physics - Phenomenology · Physics 2018-05-28 Debtosh Chowdhury , Abhishek M. Iyer , Ranjan Laha

It has been proposed several times in the past that one can obtain an equivalent, but in many aspects simpler description of fermions by first reformulating their first-order (Dirac) Lagrangian in terms of two-component spinors, and then…

High Energy Physics - Theory · Physics 2015-09-22 Johnny Espin

We show that the Elko Lagrangian dark matter candidate is gauge-invariant under local gauge transformations and that non-abelian gauge invariance can be set up quite naturally. This leads naturally to Elko symmetry currents. These Elko…

High Energy Physics - Theory · Physics 2016-11-26 Adam Gillard

In this paper, the recently proposed mass dimension one fermionic field is supposed to be responsible for the dark matter halo around galactic nuclei, through the quantum degeneracy pressure effect of the field. It will be showed that the…

Cosmology and Nongalactic Astrophysics · Physics 2022-06-28 S. H. Pereira

Fermionic continuous spin field propagating in (A)dS space-time is studied. Gauge invariant Lagrangian formulation for such fermionic field is developed. Lagrangian of the fermionic continuous spin field is constructed in terms of triple…

High Energy Physics - Theory · Physics 2017-10-06 R. R. Metsaev

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