Explanation

This checkmate pattern happens very often in games, but it doesn't have an established name in English.

Therefore I am calling this checkmate "high-striker mate", after the attraction often found at fairs where a player hits a lever with a hammer to ring the bell at the top of the game tower. With this metaphor, the checkmating rook or queen is the hammer, and the bell at the top is the checkmated king. I also like that the name starts with "h" as the h-file is involved.

High-striker mate shows the power of an open h-file or a-file toward the opponent's king.

Examples

White can deliver high-striker mate with 1.Rh1#.

This can also happen from behind:

Black has invaded the back-rank with both rooks, and driven the opponent's king to h2. Now Black can give high-striker mate with 1...Rh1#.

How to Spot Highstriker Mate

This can happen if there is an open a-file or h-file toward the king. If the file is semi-open, the file can often be opened with a sacrifice.

This is similar to a back-rank mate, but on the a-file or h-file.