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Axial-vector exchange contribution to the hadronic light-by-light piece of the muon anomalous magnetic moment

Pablo Roig1,* and Pablo Sanchez-Puertas2,†

  • 1Centro de Investigación y de Estudios Avanzados del IPN (Cinvestav), Apdo. Postal 14-740, 07000 Ciudad de México, México
  • 2Institut de Física d’Altes Energies (IFAE), The Barcelona Institute of Science and Technology (BIST), Campus UAB, E-08193 Bellaterra (Barcelona), Spain
  • *proig@fis.cinvestav.mx
  • †psanchez@ifae.es
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Phys. Rev. D 101, 074019 – Published 16 April, 2020

DOI: https://doi.org/10.1103/PhysRevD.101.074019

Abstract

In this work we study the axial contributions to the hadronic light-by-light piece of the muon anomalous magnetic moment. We point out some theoretical ambiguities in previous estimates, and opt to perform a new evaluation using resonace chiral theory, that is free of them. As a result, we obtain aμHLbL;A=(0.8−0.8+3.5)×10−11, that might suggest a smaller value than most recent calculations, underlining the relevance of the off-shell prescription and the need for future work along this direction. Further, we find that our results depend critically on the asymptotic behavior of the form factors, and as such, emphasizes the relevance of future experiments at large photon virtualities. In addition, we present general results regarding the involved axial form factors description, comprehensively examining (and relating) the current approaches, that shall be of general interest.

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Phys. Rev. D 101, 074019– Published 16 April, 2020
  • Received 24 January 2020
  • Accepted 31 March 2020
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