Broad, on his Nottinghamshire home ground, had made 37, with England then 297 for seven in their second innings, when he edged teenage debutant spinner Ashton Agar.
The ball clipped wicketkeeper Brad Haddin's gloves and then flew to Australia captain Michael Clarke at first slip yesterday.
Australia appealed for the catch but leading Pakistani umpire Aleem Dar ruled in the batsman's favour as Broad stood his ground.
The tourists couldn't believe the verdict but ultimately, as they'd already used up both their two permitted reviews in the innings, they had to accept it.
Former England captain Michael Vaughan, who played alongside Lehmann at Yorkshire, sympathised with Australia.
"The review system was brought in to get rid of the howler, I don't see why umpire Dar couldn't have had someone in his ear saying you've got that one wrong let's just overturn that quickly," said Vaughan, now working as a commentator for BBC Radio's Test Match Special.
"This has been a terrific game but I think a lot will be talked about that incident, which is sad."
