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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References
D. Ahluwalia,Mass dimension one fermions (Cambridge University Press, London, 2019)
D. Ahluwalia, Adv. Appl. Clifford Algebras 27, 2247 (2017)
D. Ahluwalia, Europhys. Lett. 118, 6001 (2017)
A. Alves, M. Dias, F. de Campos, L. Duarte, J.M. Hoff da Silva, Europhys. Lett. 121, 31001 (2018)
A. Alves, M. Dias, F. de Campos, J.M. Hoff da Silva, Int. J. Mod. Phys. A 30, 1550006 (2015)
M. Dias, F. de Campos, J.M. Hoff da Silva, Phys. Lett. B 706, 352 (2012)
J.M. Hoff da Silva, R.J. Bueno Rogerio, Europhys. Lett. 128, 11002 (2019)
E.P. Wigner, inGroup theoretical concepts and methods in elementary particle physics, Lectures of the Istanbul summer school of theoretical physics, edited by F. Guersey (Gordon and Breach, New York, 1964), pp. 37–80
C.-Y. Lee, M. Dias, Phys. Rev. D 94, 065020 (2016)
D. Ahluwalia, D. Grumiller, JCAP 0507, 012 (2005)
D. Ahluwalia, D. Grumiller, Phys. Rev. D 72, 067701 (2005)
D. Ahluwalia, C.-Y. Lee, D. Schritt, Phys. Lett. B 687, 248 (2010)
D. Ahluwalia, C.-Y. Lee, D. Schritt, Phys. Rev. D 83, 065017 (2011)
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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