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Three- and four-point functions in CPT-even Lorentz-violating scalar QED

B. Altschul1,*, L. C. T. Brito2,†, J. C. C. Felipe3,‡, S. Karki1,§, A. C. Lehum4,∥, and A. Yu. Petrov5,¶

  • 1Department of Physics and Astronomy, University of South Carolina, Columbia, South Carolina 29208, USA
  • 2Departamento de Física, Instituto de Ciências Naturais Universidade Federal de Lavras, Caixa Postal 3037, 37200-900, Lavras, Minas Gerais, Brazil
  • 3Instituto de Engenharia, Ciência e Tecnologia, Universidade Federal dos Vales do Jequitinhonha e Mucuri, Avenida Um 4050, 39447-790, Cidade Universitária, Janaúba, Minas Gerais, Brazil
  • 4Faculdade de Física, Universidade Federal do Pará, 66075-110, Belém, Pará, Brazil
  • 5Departamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, 58051-970 João Pessoa, Paraíba, Brazil

  • *altschul@mailbox.sc.edu
  • †lcbrito@ufla.br
  • ‡jean.cfelipe@ufvjm.edu.br
  • §karkis@email.sc.edu
  • ∥lehum@ufpa.br
  • petrov@fisica.ufpb.br
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Phys. Rev. D 107, 045005 – Published 13 February, 2023

DOI: https://doi.org/10.1103/PhysRevD.107.045005

Abstract

The renormalization of quantum field theories usually assumes Lorentz and gauge symmetries, besides the general restrictions imposed by unitarity and causality. However, the set of renormalizable theories can be enlarged by relaxing some of these assumptions. In this work, we consider the particular case of a CPT-preserving but Lorentz-breaking extension of scalar QED. For this theory, we calculate the one-loop radiative corrections to the three- and four-point scalar-vector vertex functions, at the lowest order in the Lorentz-violation parameters, and we explicitly verify that the resulting low-energy effective action is compatible with the usual gauge invariance requirements. With these results, we complete the one-loop renormalization of the model at the leading order in the Lorentz-violating parameters.

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References (29)

  1. D. Colladay and V. A. Kostelecký, Phys. Rev. D 55, 6760 (1997).
  2. D. Colladay and V. A. Kostelecký, Phys. Rev. D 58, 116002 (1998).
  3. V. A. Kostelecky, C. D. Lane, and A. G. M. Pickering, Phys. Rev. D 65, 056006 (2002).
  4. T. Mariz, J. R. Nascimento, and A. Yu. Petrov, Lorentz Symmetry Breaking—Classical and Quantum Aspects (Springer, Cham, 2022).
  5. B. Altschul, Phys. Rev. D 86, 045008 (2012).
  6. L. C. T. Brito, H. G. Fargnoli, and A. P. Baêta Scarpelli, Phys. Rev. D 87, 125023 (2013).
  7. B. Altschul, Phys. Rev. D 87, 045012 (2013).
  8. J. R. Nascimento, A. Yu. Petrov, and C. M. Reyes, Eur. Phys. J. C 78, 541 (2018).
  9. J. Furtado, R. M. M. C. Filho, and J. F. Assunção, arXiv:2004.05680.
  10. A. P. Baeta Scarpelli, L. C. T. Brito, J. C. C. Felipe, J. R. Nascimento, and A. Yu. Petrov, Eur. Phys. J. C 77, 850 (2017).
  11. V. A. Kostelecký and N. Russell, Rev. Mod. Phys. 83, 11 (2011); updated as arXiv:0801.0287v15.
  12. V. A. Kostelecký and M. Mewes, Phys. Lett. B 757, 510 (2016).
  13. V. A. Kostelecký, A. C. Melissinos, and M. Mewes, Phys. Lett. B 761, 1 (2016).
  14. M. Schreck, Classical Quantum Gravity 34, 135009 (2017).
  15. B. Altschul, Phys. Rev. D 78, 085018 (2008).
  16. V. A. Kostelecký and J. D. Tasson, Phys. Lett. B 749, 551 (2015).
  17. O. Bertolami and C. S. Carvalho, Phys. Rev. D 61, 103002 (2000).
  18. A. Addazi et al., Prog. Part. Nucl. Phys. 125, 103948 (2022).
  19. S. M. Carroll and H. Tam, Phys. Rev. D 78, 044047 (2008).
  20. A. P. Baeta Scarpelli, J. C. C. Felipe, L. C. T. Brito, and A. Yu. Petrov, Mod. Phys. Lett. A 37, 2250100 (2022).
  21. R. Mertig and M. Bahm, and A. Denne, Comput. Phys. Commun. 64, 345 (1991).
  22. T. Hahn, Comput. Phys. Commun. 140, 418 (2001).
  23. A. Alloul, N. D. Christensen, C. Degrande, C. Duhr, and B. Fuks, Comput. Phys. Commun. 185, 2250 (2014).
  24. O. A. Battistel, A. L. Mota, and M. C. Nemes, Mod. Phys. Lett. A 13, 1597 (1998).
  25. O. A. Battistel and M. C. Nemes, Phys. Rev. D 59, 055010 (1999).
  26. A. L Cherchiglia, M. Sampaio, and M. C. Nemes, Int. J. Mod. Phys. A 26, 2591 (2011).
  27. V. A. Kostelecký, Phys. Rev. D 69, 105009 (2004).
  28. L. C. T. Brito, H. G. Fargnoli, A. P. Baeta Scarpelli, M. Sampaio, and M. C. Nemes, Phys. Lett. B 673, 220 (2009).
  29. T. Mariz, R. Martinez, J. R. Nascimento, and A. Yu. Petrov, Eur. Phys. J. C 81, 974 (2021).

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Phys. Rev. D 107, 045005– Published 13 February, 2023
  • Received 24 November 2022
  • Accepted 23 January 2023
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