It’s called a goal kick in soccer/football. When the attacking team sends the ball behind the goal line without scoring, the defending team restarts play with a goal kick from the goal area.

In American football, the similar idea depends on the play:

  • A missed field goal can give the other team the ball, often as a touchback if it goes through the end zone.
  • A blocked kick has its own recovery rules depending on where the ball ends up.

So the most likely answer is goal kick.