I know how to do this in SVN,
svn diff http://svn.example.com/branches/A/File1.txt http://svn.example.com/branches/B/File1.txt
But there has to
I don't know how new this feature is (I certainly read the documentation and didn't find it when I posted the question), but if you hold the Shift button down when you right click on a file, you can compare URLs without having to go to the repository browser.
See Difference to another branch/tag in the Viewing Differences documentation.
To illustrate: