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On the consistency between the observed amount of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>C</mml:mi><mml:mi>P</mml:mi></mml:math>violation in the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>K</mml:mi></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>B</mml:mi><mml:mi>d</mml:mi></mml:msub></mml:math>systems within minimal flavor violation
We reappraise the question of whether the standard model, and minimal flavor violating (MFV) models at large, can simultaneously describe the observed $CP$ violation in the $K$ and ${B}_{d}$ systems. We find that $CP$ violation in the ${B}_{d}$ system, measured most precisely through $(\mathrm{sin}2\ensuremath{\beta}{)}_{J/\ensuremath{\psi}{K}_{s}}$, implies $|{ϵ}_{K}^{\mathrm{SM}}|=1.78(25)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}3}$ for the parameter ${ϵ}_{K}$, …