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Asymptotic behavior of meson transition form factors | | Martin Hoferichter
; Peter Stoffer
; | | Date: |
13 Apr 2020 | | Abstract: | One of the open issues in evaluations of the contribution from hadronic
light-by-light scattering to the anomalous magnetic moment of the muon
$(g-2)_mu$ concerns the role of heavier scalar, axial-vector, and tensor-meson
intermediate states. The coupling of axial vectors to virtual photons is
suppressed for small virtualities by the Landau-Yang theorem, but otherwise
there are few rigorous constraints on the corresponding form factors. In this
paper, we first derive the Lorentz decomposition of the two-photon matrix
elements into scalar functions following the general recipe by Bardeen, Tung,
and Tarrach. Based on this decomposition, we then calculate the asymptotic
behavior of the meson transition form factors from a light-cone expansion in
analogy to the asymptotic limits for the pseudoscalar transition form factor
derived by Brodsky and Lepage. Finally, we compare our results to existing data
as well as previous models employed in the literature. | | Source: | arXiv, 2004.6127 | | Services: | Forum | Review | PDF | Favorites | |
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