Try this:
Total[Map[If[Total[Grad[#, Variables[expr]]] === 0, #, Nothing] &, MonomialList[expr]]]
(*-(1/4)*)
In general, when there are no subscripts, we proceed as Bob Hanlon indicates:
expr/. Thread[Variables[expr] -> 0]
Another way to do it is as follows:
Total[Map[If[Total[Exponent[#, Variables[expr]]] === 0, #, Nothing] &,MonomialList[expr]]]
(*-(1/4)*)