The grammar police should make an arrest at the yahoo.com headquarters for this gaffe:
Did that really sound right to the writer? If so, then he or she needs to hang around people who speak proper English and start reading something other than Facebook timelines and Twitter posts.
The correct pronoun is the possessive his because being is a gerund, which is a verb functioning as a noun. The writer could have avoided this embarrassment by simply writing “by his arrest.” Easy, no?