In terms of raw numbers, it's as follows for battle deaths

Infantry: 8,778 officers, 134,174 enlisted Air Force 22,022 officers, 28,999 enlisted Artillery 1,330 officers, 8,255 enlisted Engineers 601 officers, 7,090 enlisted Armored Force 1,581 enlisted (AF did not have officers) Cavalry, 610 officers, 4,525 enlisted

The other branches are less likely to have suffered as much.

You can get all sorts of drill-downs at http://www.ibiblio.org/hyperwar/USA/ref/Casualties/

In terms of -proportions-, I don't have the original figures to hand. I do recall that infantry is about 18% casualties (dead), armor about 3%. I would think that only cavalry, Air Forces and Engineers might come close, but even at that, one would have to drill down to combat engineers vs construction engineers, or flight crews vs non-flight crews.