In the Jordan-frame treatment of f(R) gravity the scalaron-photon effective coupling vanishes for m much less than loop-particle masses because the classical-trace diagrams cancel the Fujikawa anomaly term.
Kumar Sharma and M.M
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Effective scalaron--photon interaction in $f(R)$ gravity
In the Jordan-frame treatment of f(R) gravity the scalaron-photon effective coupling vanishes for m much less than loop-particle masses because the classical-trace diagrams cancel the Fujikawa anomaly term.