2012

Hadronic Light-by-Light and the Pion Polarizability

Engel, Kevin T., Patel, Hiren H., Ramsey-Musolf, Michael J.

Understand

We compute the charged pion loop contribution to the light-by-light scattering amplitude for off-shell photons in chiral perturbation theory through next-to-leading order (NLO).

We show that NLO contributions are relatively more important due to a fortuitous numerical suppression of the leading-order (LO) terms.
Consequently, one expects theoretical predictions for the hadronic light-by-light (HLBL) contribution to the muon anomalous magnetic moment, $a_\mu^{HLBL}$, to be sensitive to the choice of model for the higher momentum-dependence of the LBL amplitude.
We show that models employed thus far for the charged pion loop contribution to $a_\mu^{HLBL}$ are not consistent with low-momentum behavior implied by quantum chromodynamics, having omitted potentially significant contributions from the pion polarizability.

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