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We point out that, if the direct CP asymmetries in the $D \to \pi^+ \pi^-$and $D \to K^+ K^-$ decays are unequal, the indirect CP asymmetries as measuredin these modes are necessarily unequal. This nonuniversality of indirect CPasymmetries can be significant with the right amount of new physicscontributions, a scenario that may be fine-tuned, but is still viable. Amodel-independent fit to the current data allows different indirect CPasymmetries in the above two decays. This could even be contributing to theapparent tension between the difference CP asymmetries $\Delta A_{\rm CP}$measured through the pion-tagged and muon-tagged data samples at the LHCb. Thisalso implies that the measurements of $A_\Gamma$ and $y_{\rm CP}$ in the $\pi^+\pi^-$ and $K^+ K^-$ decay modes can be different, and averaging over these twomodes should be avoided. In any case, the complete analysis of CP violationmeasurements in the $D$ meson sector needs to take into account the possibilityof different indirect CP asymmetries in the $\pi^+\pi^-$ and $K^+ K^-$channels.

Nonuniversality of indirect CP asymmetries in $D \to \pi\pi, KK$ decays