Hoi Daniele,
in principle muon ID already contains a veto on kaon ID (that was
built in to remove the kaon in-flight decays some time ago), so the
fact that you see a small effect is maybe by having a different veto
selector than what we use for kaon ID.
I think the fix should be where the leading lepton is identified. It
is a "feature" that kaon ID overrides muon ID.
I don't think it affects our signal. Muons that are kaons should not
enter the signal. Of course, it does affect the depleted sample.
Cheers,
--U.
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