rap sheet

The Japan Times Online, March 24の記事にあった表現です。
Turkey deported Brussels bomber in 2015, warned Belgium; brothers had long rap sheets
Turkey said Wednesday it had detained and then deported Ibrahim El Bakraoui, one of the two suicide bombers at Brussels airport, and accused the Belgian authorities of failing to confirm his links to terror.
"rap sheets" の意味を辞書で調べます。
・Oxford English Dictionary: North American informal A criminal record.: There had probably been a few more crimes added to her rap sheet since then as well.
・Cambridge English Dictionary: an official police document that lists the crimes that a particular person has committed
"rap sheets" が何故この様な意味になるのか調べると、元々 "rap" に次の意味がありました。
・Oxford English Dictionary: A criminal charge, especially of a specified kind: he’s just been acquitted on a murder rap
・Cambridge English Dictionary: a statement accusing someone of a crime, or the punishment that someone is given for a crime: He always said he was jailed on a bum rap (= false accusation).
なるほど。