I run a standard GT midbox and standard G40 back box which is about 47mm at it's narrowest point without problems at 1bar, 9.5:1 engine compression, K03. However I wouldn't like to go much narrower. 1.75" is approx 44mm.
I suppose it depends on the quality of the bends in the pipe, being aftermarket replica parts, some of the bends in the pipe on my setup do restrict slightly.