Hadronic light-by-light scattering in the anomalous magnetic moments of electron and $\tau$

Abstract

In Refs. [1,2] we provided a complete dispersive evaluation of the hadronic light-by-light (HLbL) contribution to the anomalous magnetic moment of the muon. While the evaluation strategy was developed for the kinematic situation determined by the muon mass, a similar approach also applies to the HLbL corrections to the anomalous magnetic moments of the electron and $\tau$ lepton, shifting the sensitivity in the loop integrals to smaller and larger momenta, respectively. In this Letter, we propagate the corresponding uncertainties of the various contributions, obtaining $a_e^{\text{HLbL}}=3.51(23)\times 10^{-14}$ and $a_{\tau }^{\text{HLbL}}=3.77(29)\times 10^{-8}$.

8 pages, 2 figures; journal version

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Cited by in corpus (4)

• The anomalous magnetic moment of the muon in the Standard Model: an update
• Towards testing $(g-2{)}_{\tau }$ in $e^{+}{e}^{-}\to {\tau }^{+}{\tau }^{-}$: radiative corrections and projections for Belle II
• Light new physics and the $\tau$ lepton dipole moments: prospects at Belle II
• Extracting the chiral anomaly from $e^{+}{e}^{-}\to 3\pi$