Tim Swinson went off with an ankle injury

Glasgow scrum-half Ali Price and Saracens full-back Liam Williams both scored in a frantic first five minutes, but momentum swung Sarries' way after tries from David Strettle and Brad Barritt, before two Adam Hastings penalties reduced the hosts' lead to nine.

But second-half scores for Williams, Strettle, Jamie George and Nick Tompkins sealed the win for Saracens.

Replacement scrum-half George Horne and number eight Matt Fagerson scored consolation tries for Glasgow, whose hopes of reaching the Champions Cup last four for the first time have ended.

Glasgow head coach Dave Rennie bemoaned his side's errors as they were put to the sword.

"When you get to the big occasion, you need to front and perform better than we did," Rennie told BBC Scotland.

"We needed everyone to be on song but we made too many errors, especially kicking errors. We got dominated field position-wise and [there were] too many soft defensive efforts.

"I thought we defended well straight after [Price's try] and we got a turnover - and then Adam [Hastings] threw an offload that ended up down our end of the field and they scored not long after," Rennie said.

"You can't give a good side like Saracens opportunities - and we gave them plenty."

Lock Scott Cummings went off with a head injury in the first half and fellow second-row Tim Swinson was stretchered off with an ankle problem, which Rennie says "doesn't look too good".