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The two-photon transition form factors of the pseudoscalar mesons are important for a precise determination of theoretical predictions of the lightby-light (LbL) contribution to the anomalous magnetic moment of the muon (g−2)μ, where one observes the discrepancy between the measured value [1] and the Standard Model predictions [2–4]. The main source of the error in the evaluation of (g − 2)μ comes from the hadronic part. The biggest contribution to its value and its error is the hadronic vacuum polarization (HVP), while the LbL contribution is the second largest source of the uncertainty. Unfortunately, we are not able to calculate these contributions with acceptable error from the first principles. Instead, we have to rely on effective models in the case of LbL, or the dispersive integral approach in the case of HVP. In these proceedings, we report on the latest upgrade of PHOKHARA [5] and EKHARA [6, 7] Monte Carlo event generators related to the modeling of the newly developed [8] transition form factors of pseudoscalar mesons, and we shortly review the short-term research program.

Two-photon Transition Form Factors of Pseudoscalar Mesons in the PHOKHARA and the EKHARA Generators