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Anomalies From the Covariant Derivative Expansion

Published 2 Jan 2023 in hep-ph and hep-th | (2301.00821v1)

Abstract: We revisit the calculation of anomalies for global and gauge symmetries in the framework of the Covariant Derivative Expansion (CDE). Due to the presence of UV divergences, the result is an ambiguous quantity that depends on the regularization procedure and the renormalization scheme. We introduce a class of regulators that facilitate a straightforward evaluation of the anomaly exclusively in $d=4$ spacetime dimensions using the CDE methodology. We derive a master formula for the anomaly that integrates various known results into a unified framework.

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References (41)
  1. R. A. Bertlmann, Anomalies in quantum field theory. 1996.
  2. A. Bilal, “Lectures on Anomalies,” arXiv:0802.0634 [hep-th].
  3. S. L. Adler, “Axial vector vertex in spinor electrodynamics,” Phys. Rev. 177 (1969) 2426–2438.
  4. J. S. Bell and R. Jackiw, “A PCAC puzzle: π0→γ⁢γ→superscript𝜋0𝛾𝛾\pi^{0}\to\gamma\gammaitalic_π start_POSTSUPERSCRIPT 0 end_POSTSUPERSCRIPT → italic_γ italic_γ in the σ𝜎\sigmaitalic_σ model,” Nuovo Cim. A 60 (1969) 47–61.
  5. S. L. Adler and W. A. Bardeen, “Absence of higher order corrections in the anomalous axial vector divergence equation,” Phys. Rev. 182 (1969) 1517–1536.
  6. R. Jackiw and C. Rebbi, “Vacuum Periodicity in a Yang-Mills Quantum Theory,” Phys. Rev. Lett. 37 (1976) 172–175.
  7. N. K. Nielsen and B. Schroer, “Topological Fluctuations and Breaking of Chiral Symmetry in Gauge Theories Involving Massless Fermions,” Nucl. Phys. B 120 (1977) 62–76.
  8. N. K. Nielsen and B. Schroer, “Axial Anomaly and Atiyah-Singer Theorem,” Nucl. Phys. B 127 (1977) 493–508.
  9. N. K. Nielsen, H. Romer, and B. Schroer, “Classical Anomalies and Local Version of the Atiyah-Singer Theorem,” Phys. Lett. B 70 (1977) 445–448.
  10. K. Fujikawa, “Path Integral Measure for Gauge Invariant Fermion Theories,” Phys. Rev. Lett. 42 (1979) 1195–1198.
  11. K. Fujikawa, “Path Integral for Gauge Theories with Fermions,” Phys. Rev. D 21 (1980) 2848. [Erratum: Phys.Rev.D 22, 1499 (1980)].
  12. K. Fujikawa, “On the Evaluation of Chiral Anomaly in Gauge Theories with Gamma(5) Couplings,” Phys. Rev. D 29 (1984) 285.
  13. K. Fujikawa, “Chiral Anomaly and the Wess-Zumino Condition,” Phys. Rev. D 31 (1985) 341.
  14. K. Fujikawa and H. Suzuki, Path integrals and quantum anomalies. 2004.
  15. M. K. Gaillard, “The Effective One Loop Lagrangian With Derivative Couplings,” Nucl. Phys. B268 (1986) 669–692.
  16. L.-H. Chan, “Derivative Expansion for the One Loop Effective Actions With Internal Symmetry,” Phys. Rev. Lett. 57 (1986) 1199.
  17. O. Cheyette, “Effective Action for the Standard Model With Large Higgs Mass,” Nucl. Phys. B297 (1988) 183–204.
  18. B. Henning, X. Lu, and H. Murayama, “One-loop Matching and Running with Covariant Derivative Expansion,” JHEP 01 (2018) 123, arXiv:1604.01019 [hep-ph].
  19. T. Cohen, M. Freytsis, and X. Lu, “Functional Methods for Heavy Quark Effective Theory,” JHEP 06 (2020) 164, arXiv:1912.08814 [hep-ph].
  20. J. Fuentes-Martin, J. Portoles, and P. Ruiz-Femenia, “Integrating out heavy particles with functional methods: a simplified framework,” JHEP 09 (2016) 156, arXiv:1607.02142 [hep-ph].
  21. Z. Zhang, “Covariant diagrams for one-loop matching,” JHEP 05 (2017) 152, arXiv:1610.00710 [hep-ph].
  22. T. Cohen, X. Lu, and Z. Zhang, “Functional Prescription for EFT Matching,” JHEP 02 (2021) 228, arXiv:2011.02484 [hep-ph].
  23. T. Cohen, N. Craig, X. Lu, and D. Sutherland, “Is SMEFT Enough?,” JHEP 03 (2021) 237, arXiv:2008.08597 [hep-ph].
  24. T. Cohen, X. Lu, and Z. Zhang, “Snowmass White Paper: Effective Field Theory Matching and Applications,” in 2022 Snowmass Summer Study. 3, 2022. arXiv:2203.07336 [hep-ph].
  25. T. Cohen, X. Lu, and Z. Zhang, “STrEAMlining EFT Matching,” SciPost Phys. 10 (2021) no. 5, 098, arXiv:2012.07851 [hep-ph].
  26. J. Fuentes-Martin, M. König, J. Pagès, A. E. Thomsen, and F. Wilsch, “SuperTracer: A Calculator of Functional Supertraces for One-Loop EFT Matching,” JHEP 04 (2021) 281, arXiv:2012.08506 [hep-ph].
  27. J. Fuentes-Martín, M. König, J. Pagès, A. E. Thomsen, and F. Wilsch, “A Proof of Concept for Matchete: An Automated Tool for Matching Effective Theories,” arXiv:2212.04510 [hep-ph].
  28. G. ’t Hooft and M. J. G. Veltman, “Regularization and Renormalization of Gauge Fields,” Nucl. Phys. B 44 (1972) 189–213.
  29. P. Breitenlohner and D. Maison, “Dimensional Renormalization and the Action Principle,” Commun. Math. Phys. 52 (1977) 11–38.
  30. M. S. Chanowitz, M. Furman, and I. Hinchliffe, “The Axial Current in Dimensional Regularization,” Nucl. Phys. B 159 (1979) 225–243.
  31. F. Jegerlehner, “Facts of life with gamma(5),” Eur. Phys. J. C 18 (2001) 673–679, arXiv:hep-th/0005255.
  32. J. Quevillon, C. Smith, and P. N. H. Vuong, “Axion Effective Action,” arXiv:2112.00553 [hep-ph].
  33. B. Filoche, R. Larue, J. Quevillon, and P. N. H. Vuong, “Anomalies from an effective field theory perspective,” arXiv:2205.02248 [hep-th].
  34. C. Cornella, F. Feruglio, and L. Vecchi, “Gauge Invariance and Finite Counterterms in Chiral Gauge Theories,” arXiv:2205.10381 [hep-ph].
  35. J. Wess and B. Zumino, “Consequences of anomalous Ward identities,” Phys. Lett. B 37 (1971) 95–97.
  36. T. Cohen, X. Lu, and Z. Zhang, “Anomaly Cancellation in Effective Field Theories From the Covariant Derivative Expansion,” (2023) .
  37. Q. Bonnefoy, L. Di Luzio, C. Grojean, A. Paul, and A. N. Rossia, “Comments on gauge anomalies at dimension-six in the Standard Model Effective Field Theory,” JHEP 05 (2021) 153, arXiv:2012.07740 [hep-ph].
  38. F. Feruglio, “A Note on Gauge Anomaly Cancellation in Effective Field Theories,” JHEP 03 (2021) 128, arXiv:2012.13989 [hep-ph].
  39. E. D’Hoker and E. Farhi, “Decoupling a Fermion Whose Mass Is Generated by a Yukawa Coupling: The General Case,” Nucl. Phys. B 248 (1984) 59–76.
  40. E. D’Hoker and E. Farhi, “Decoupling a Fermion in the Standard Electroweak Theory,” Nucl. Phys. B 248 (1984) 77.
  41. B. Henning, X. Lu, and H. Murayama, “How to use the Standard Model effective field theory,” JHEP 01 (2016) 023, arXiv:1412.1837 [hep-ph].
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