BBC Radio 5 Live Sports Extra
Saracens' Champions Cup future is now in Gloucester's hands. Their match against Toulouse is about to kick off and you can listen to the build-up on BBC Radio 5 Live Sports Extra now.
Just click play at the top of this page.
That meant a lot to the Saracens players.
They were down to 14 men for the whole of the second half, with Billy Vunipola off early with a suspected broken forearm. But somehow they still managed to win. Extraordinary scenes at Allianz Park.Copyright: Getty Images
So to clarify: Saracens are in the eighth qualification spot after that win. Gloucester could still replace them if they beat Toulouse with a bonus point or beat them by 12 points or more.
That result also means Northampton Saints' place in the quarter-finals is guaranteed and puts Glasgow out of the competition.
Saracens flanker Ben Earl said on BT Sport:
"That second 40 is everything this club is about. There have been a few obstacles this season but we knew we had to do our talking on the pitch today.
"The experienced heads in the changing room spoke a lot about our plan and it was about the rest of us putting it into practise.
"With what's gone on this week our focus shifts to Europe. We're going after that now and we know we're going to be a tough team to beat."
BBC rugby union correspondent at Allianz Park
What Gloucester are now being asked to do in Toulouse is bordering on a miracle. To overtake Saracens they need to win with a bonus point or win by 13.
Richard Wigglesworth kicks to touch and Saracens players erupt in celebration, then immediately form a huddle.
What a day for them. Racing threw everything at them. Billy Vunipola left the pitch injured, Will Skelton was sent off. But Sarries still managed to get the win and keep their season alive.
Francois Trinh-Duc sends a pass left, but it is dropped and Saracens regain possession.
Racing 92 make it into Saracens half. Could a drop-goal be on the cards?
Less than one minute remaining.
Racing have possession but there are less than two minutes left and they're inside their own half.
As things stand, Saracens will be through to the quarter-finals as long as Gloucester don't beat Toulouse later this afternoon.
It's an easy kick from in front of the stick and Sarries are ahead with four minutes left.
Saracens get a penalty anyway because Racing were offside earlier in the play.
Owen Farrell tells Nigel Owen he thinks they scored the try three times, before going for three points and the lead.
England World Cup winning scrum-half on BBC Radio 5 Live Sports Extra
Owen Farrell celebrated like it was a try! He jumped over a player, punched the air and has gone about two metres into the air!
Nigel Owens says Duncan Taylor is offside, so no try.
You can see the ball over the line, but it's unclear how it got there.
The replay shows Jamie George coming up short, then Owen Farrell celebrating anyway.
Onto the next phase to check Duncan Taylor's grounding...
Nigel Owens has asked the TMO to take a look at it. Duncan Taylor might have made it over, but there were so many bodies on the floor it's hard to tell.
Owen Farrell jumps through in celebration, punching the air, but Nigel Owens hasn't given a try.
Saracens are centimetres from the tryline now.