Eur. Phys. J. Special Topics 229, 2023–2034 (2020)
https://doi.org/10.1140/epjst/e2020-900272-4

Regular Article

Mass dimension one fermions at 1-loop

¹ Centro Brasileiro de Pesquisas Físicas (CBPF), Rua Dr. Xavier Sigaud 150, Urca, CEP 22290-180 Rio de Janeiro, Brazil
² Departamento de Física e Química, Universidade Estadual Paulista (UNESP), Av. Dr. Ariberto Pereira da Cunha, 333, Guaratinguetá, SP, Brazil
³ Departamento de Matemática, Física e Computação, Faculdade de Tecnologia, Universidade do Estado do Rio de Janeiro (UERJ), Rodovia Pres. Dutra, Km 298, Polo Industrial, CEP 27537-000 Resende, RJ, Brazil

^a e-mail: gpbrito@cbpf.br

Received: 30 November 2019
Accepted: 22 July 2020
Published online: 21 September 2020

Abstract

We investigate 1-loop contributions to the 2- and 4-point correlation functions within a theory for fermions with mass dimension one with a simple quartic self-interaction term. The 1-loop divergence appearing the self-energy function can be consistently absorbed by renormalization of the mass parameter. In the case of the (1PI) 4-point correlation function, there is a surprising cancellation of divergences coming from different diagrams, leading to a finite 1-loop result. The inclusion of a complete basis of four-fermion interactions is discussed.