CPNonconservation and Inequalities Betweenμ+μ−and2γDecay Rates ofKS0andKL0

Assuming that the absorptive part of $K_L^0\to 2\mu$ is due only to the on-mass-shell $2\gamma$ intermediate states, several inequalities between $2\mu$ and $2\gamma$ decay states of $K_S^0$ and $K_L^0$ are derived without the assumption of $\mathrm{CP}$ conservation. These inequalities, together with the present experimental upper bound on $K_L^0\to 2\mu$, imply that the branching ratio for $K_S^0\to 2\mu$ should be greater than 5×${10}^{-7\mathrm{}}$.