Axial-vector exchange contribution to the hadronic light-by-light piece of the muon anomalous magnetic moment
Pablo Roig, Pablo Sánchez-Puertas
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 ${a}_{\ensuremath{\mu}}^{\text{HLbL};A}=\phantom{\rule{0ex}{0ex}}(0.{8}_{\ensuremath{-}0.8}^{+3.5})\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}11}$, 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.