While I was watching a cockpit video of an A330 landing in which the pilot was frenetically moving its sidestick, I wander what was the reaction time of this flight by wire system. Indeed, the time for transmiting the signal from the sidestick to flight computer, the time for computer to interpret all its inputs (pilot's input, probes,...) and to decide to act on flight control surfaces, the aircraft's reaction is not instantaneous.
Then, I realize that whatever the transmission system, there are delay between pilot's input and air control surfaces movement (material's elasticity, time for hydraulic fluid to transmit pressure, other mechanism I can't imagine).
Thus my question is: is there a maximal delay between pilot's input and flight control surface deflection to certify an aircraft?
If needed, for the FBW system, a direct law can be considered (no complex computation as flight control surface movement is proportional to input)
If needed, the question can be restricted to airliners flying under FAA and EASA jurisdictions.
EDIT: given the first feedback (comments, edits, answer), I want to highlight this question is not restricted to fly-by-wire (transmitting pilot's input through mechanical links may also induce delay)
EDIT: I think I didn't emphasize enough that this question is only about delay between pilot's input and control surface reaction. I understand that this delay is negligible compared to all other delay, but this is the one the question focus on.