High Jump

High Jump is a move that Mario and Luigi can execute in Mario & Luigi: Superstar Saga (and its 3DS remake) and in Mario & Luigi: Bowser's Inside Story (and its 3DS remake), under the name Balloon Jump. The move is different in each game, but always serves the same purpose, i.e. to get to high places that are otherwise unreachable with a normal jump.

Mario & Luigi: Superstar Saga / Mario & Luigi: Superstar Saga + Bowser's Minions
In Mario & Luigi: Superstar Saga and its 3DS remake, Mario & Luigi: Superstar Saga + Bowser's Minions, the move is taught by the Starshade Bros. in Stardust Fields alongside with the Spin Jump. With Luigi as the rear brother and selecting the move using and, pressing  will make Luigi jump on top of Mario, continuously bouncing on him. Pressing again while this happens will cause the two brothers to jump high into the air, reaching higher places that are otherwise impossible to reach with a normal jump. To cancel the move, the player must press while Luigi is bouncing on top of Mario. When Mario fills himself up with water, Luigi can use High Jump to make him spit out all the water in him, which can be used to activate fan-like devices that produce coins and mushrooms. Also, when Mario is made smaller via the Mini-Mario move and Luigi attempts to High Jump onto him, making Mario jump when Luigi is directly above will cause him to hit him, producing a coin with each hit, though it causes Luigi to lose HP. This stops when Luigi reaches low enough health. The in-battle equivalent to this move is the Bounce Bros. Bros. Attack.

In the 3DS remake, Mario & Luigi: Superstar Saga + Bowser's Minions, the player cannot switch between the bros manually. This means the player must select the move using the Touch Screen or by using and. Other than that, the move functions the same way it does in the original game.

Mario & Luigi: Bowser's Inside Story / Mario & Luigi: Bowser's Inside Story + Bowser Jr.'s Journey
In Mario & Luigi: Bowser's Inside Story and its remake, Mario & Luigi: Bowser's Inside Story + Bowser Jr.'s Journey, this move learned alongside the Balloon Mario technique at Toadley Clinic after the brothers receive the second Star Cure so the bros can catch Birdley, who is flying around the clinic. It is later used to reach the top of a mountain in Plack Beach, where the Star Sage Chakron resides, so the bros can receive the third and final Star Cure. When Mario uses an air vent to balloon himself, the brothers can use this move by pressing with Luigi holding him over his head, slowly descending downwards afterwards.

Names in other languages
Salto Doppio (Mario & Luigi)