You can use the diff-tree command with the -c flag. This command shows you what files have changed in the merge commit.
git diff-tree -c {merged_commit_sha}
I got the -c flag's description from Git-Scm:
This flag changes the way a merge commit is displayed (which means it is useful only when the command is given one , or --stdin). It shows the differences from each of the parents to the merge result simultaneously instead of showing pairwise diff between a parent and the result one at a time (which is what the -m option does). Furthermore, it lists only files which were modified from all parents.