It would be England's only wicket as Pakistan knocked off the required runs easily - Haris Sohail (39no) taking a particular liking to Bess' bowling, with the Somerset off-spinner plundered for 29 runs in 3.4 overs - to take a 1-0 lead in the two-Test series.
Pakistan lost Azhar Ali (4) early in its chase but Imam-ul-Haq (18 not out) and Haris Sohail (39 not out) saw the tourists home on 66-1, 30 minutes before lunch.
England were undone by two top-order batting collapses, slumping to 184 all out after winning the toss in their first innings and declining to 160 for six in their second before fifties from Jos Buttler and Test debutant Dominic Bess prevented an innings defeat.
The pair's 125-run stand was also a vindication for England's new national selector, Ed Smith, who had recalled Buttler as a specialist number seven and picked Somerset off-spinner Bess.
Before the start of this match, most people assumed that this Pakistan challenge would be gobbled up with relatively ease, instead England have managed to choke on it and then spit it all over their pants.
England, who had been 165 for five at tea, lost their last five wickets for a meagre 16 runs in 27 balls. In the post-match press conference, Root, while emphasising the "opportunity" the next Test offers his team, seemed as frustrated as anyone by England's shortcomings. "We have to be better". "We were outperformed in all three departments". But at least Buttler, who finished on 66 not out, and Bess (55 not out) justified their selections and gave their team a bit of confidence ahead of a potentially even more hard five-Test series against top-ranked India. England created chances but didn't take them. Credit to Pakistan, they bowled well and they showed some fight with the bat.
He had added one run to his overnight 66 when he was trapped lbw by Mohammad Abbas.
But Broad's batting has gone downhill since he was struck in the face by a bouncer from India's Varun Aaron in the fourth Test at Old Trafford four years ago.
And on Sunday he fell for a duck when prodding outside off stump at Abbas, with Sarfraz holding a routine catch.
As Mohammad Amir (four for 36) and Mohammad Abbas (four for 41) shared the spoils, and Pakistan were set only 64 for victory, Joe Root's team extended their winter woes on to home territory - losing their sixth...
The innings ended when Amir knocked over Bess's off-stump as the batsman went to drive.