Fighter
Air Traffic Control Fully Certified
Air Traffic Control Time Certified In Pos 1 (yrs) 10
Time Pressure; Communication Breakdown
ATC Issue All Types; Aircraft Equipment Problem Critical; Airspace Violation All Types; Deviation / Discrepancy - Procedural Clearance; Deviation / Discrepancy - Procedural Published Material / Policy
Air Traffic Control Provided Assistance; Flight Crew Took Evasive Action
Procedure; Aircraft; Human Factors
Sector XX/XY combined at XY. I had just plugged in to receive position relief briefing. Before position relief briefing took place; Aircraft X broadcast on frequency 'I'm [requesting priority]; lost pressure and initiating rapid descent from FL230 to 10;000.' I told supervisor there was [a priority aircraft] and jumped over to D-side to start coordinating with appropriate sectors. While R-side was talking to Aircraft X; I was able to complete point outs to Sector XZ and XA; but the aircraft descended so rapidly that I was unable to complete point outs to ZZZ [TRACON] X and Y departure sectors before aircraft flew through their airspace. We completed handoff to ZZZ [TRACON] Z sector.In addition; I didn't know it was a formation flight and it was the wing man that had lost pressure and rapidly descended to 10;000 prior the lead aircraft descending to 10;000. Because it was a standard formation flight; the wing man was squawking standby and descended before turning transponder back on. I never even saw a target for wing man's aircraft. I'm sure that aircraft descended through all affected sectors before coordination was completed.I think the most helpful thing is this situation would have been for Aircraft X lead aircraft to remain with emergency wing man in descent; so we would have had a target to track.Although we probably don't [have] staffing for it; some sim training on unusual situations and emergency could be helpful.R-side was trying to give wing man a squawk code so he could have a target to track. I'm not sure if it would be better to have wing man aircraft squawk [code] or to instruct lead aircraft to descend with wing man; who was in emergency descent; so not to place additional burden on pilot.
Controller reported an airspace violation due to an aircraft that had a pressurization problem.