EPJ Web Conf.
Volume 234, 2020International Workshop on “Flavour Changing and Conserving Processes” (FCCP2019)
|Number of page(s)||8|
|Published online||27 April 2020|
Holographic approach to the light-by-light contribution to the muon (g-2)
Dipartimento di Fisica “Ettore Pancini”, Universitá di Napoli “Federico II”
2 INFN-Sezione di Napoli, Italy
a e-mail: luigi.cappiello(at)na.infn.it
Published online: 27 April 2020
We discuss how holographic models of QCD are used to study the the hadronic light-by-light (HLbL) scattering amplitude contribution to the muon anomalous magnetic moment. After a brief description of the various models, we focus on a particular one, introduced by Hirn and Sanz, emphasizing the role it assigns to the pion, and the vector and-axial vector resonances. We review how the parameters of the model are fixed by imposing condition on the low energy and the deep Euclidean limit of two-point correlators of QCD vector and axial vector currents. We then focus on the evaluation of the three-point axial-vector-vector current correlator and the pion anomalous transition form factor to be used in the one-pion exchange HLbL diagram and study its asymptotic properties. Finally, we present preliminary results on the four vector current correlator that defines the Hadronic Light-by-Light tensor. We find that axial-vector resonances play an important rule in recovering the correct asymptotic behaviour predicted by QCD at large Euclidean momenta.
© The Authors, published by EDP Sciences, 2020
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