[Avodah] Tachanun After a Bris

[David Cohen]

While we're on the topic of tachanun before/after a wedding, if the
chasan is/isn't there, etc...

How about omitting tachanun at mincha in a shul where a bris took
place earlier that day?

In the U.S., I never recall anybody thinking to omit tachanun for this
reason.  The Rama writes quite clearly in OC 131:4 that tachanun is
not omitted at mincha when there was a bris in the morning.

Yet in my current shul, every time the situation comes up, there is a
"shouting match" (of the friendly sort, of course) about what to do.
About half the time we end up saying tachanun, and about half the time
not.

I'm curious as to where this is coming from.  Is it minhag Eretz
Yisra'el to omit tachanun in this case?  Is it the Sefaradi minhag?
Does it make any difference if one of the "ba`alei bris" is present?

--D.C.