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The $R_{K^{(*)}}$ anomaly can be explained by tree level exchange ofleptoquarks. We study the consequences of subjecting these models to theprinciple of minimal flavor violation (MFV). We consider MFV in the linearregime, and take the charged lepton Yukawa matrix to be the only spurion thatviolates lepton flavor universality. We find that a combination of constraintsfrom a variety of processes -- $b\to s\mu\mu$, $b\to s\tau\tau$, $b\tos\nu\nu$, $b\bar b\to\tau\tau$ and $b\to c\tau\nu$ -- excludes MFV in thesemodels.

Testing Minimal Flavor Violation in Leptoquark Models of the $R_{K^{(*)}}$ Anomaly