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Mass dimension one fermions at 1-loop

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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.

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Authors and Affiliations

  1. Centro Brasileiro de Pesquisas Físicas (CBPF), Rua Dr. Xavier Sigaud 150, Urca, CEP 22290-180, Rio de Janeiro, Brazil

    G. P. de Brito & Vahid Nikoofard

  2. Departamento de Física e Química, Universidade Estadual Paulista (UNESP), Av. Dr. Ariberto Pereira da Cunha, 333, Guaratinguetá, SP, Brazil

    J. M. Hoff da Silva

  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

    Vahid Nikoofard

Authors
  1. G. P. de Brito
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  2. J. M. Hoff da Silva
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  3. Vahid Nikoofard
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Correspondence to G. P. de Brito.

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de Brito, G.P., Hoff da Silva, J.M. & Nikoofard, V. Mass dimension one fermions at 1-loop. Eur. Phys. J. Spec. Top. 229, 2023–2034 (2020). https://doi.org/10.1140/epjst/e2020-900272-4

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  • DOI: https://doi.org/10.1140/epjst/e2020-900272-4

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