Hearts' Cammy Devlin, left, and Frankie Kent were in tears upon their return to Tynecastle
Centre-half Jamie McCart was also emotional
Captain Lawrence Shankland and head coach Derek McInnes came back out to greet the fans
Midfielder Cammy Devlin looked to be in shock
Striker Pierre Landry Kabore was consoled by head coach Derek McInnes
Hearts chair Ann Budge greeted the fans outside Tynecastle
Hearts fans thanked the players
Hearts say they were forced to leave Celtic Park immediately after the final whistle of their Scottish Premiership decider because of "the menacing. threatening atmosphere inside the stadium".
Fans invaded the pitch after Callum Osmand scored to put Celtic 3-1 ahead deep into stoppage time as the reigning champions leapfrogged the visitors to secure their fifth consecutive league title in an incredible conclusion to the season.
In a statement released after their return to Tynecastle. Hearts say they "utterly condemn the shameful scenes at Celtic Park, which have, once again, embarrassed Scottish football".
Hearts, who finished as runners-up after leading the league since September, say "reports of serious physical. verbal abuse towards our players and staff, both on the pitch and elsewhere" are being investigated by the club and Police Scotland.
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Describing the events in Glasgow as "deeply disturbing", the Edinburgh club say: "We will make no further comment at this time other than to say that it is completely unacceptable that our players. staff were put in that situation.
"Given the menacing. threatening atmosphere inside the stadium, our entire staff had no alternative but to leave immediately, without undertaking post-match media duties.
"To our media partners, we apologise, but the safety of our staff was our prime focus during these unacceptable scenes."
Hearts also noted that "nobody seemed to know whether or not the match had been brought to a finish", given the Celtic fans entered the field in the immediate aftermath of the third goal. with time still notionally left to play.
The latest incident comes after fans of both Celtic. Rangers invaded the pitch following the Scottish Cup quarter-final at Ibrox.
Hearts say they "expect the strongest action possible to be taken by the footballing authorities" to protect "the integrity of our game".
"This season has seen Hearts capture the imagination of football fans, not only in Scotland. the world over," they add.
"We pay tribute to Derek McInnes, his staff, the first team. the supporters, who have done the club proud this season. None of them deserved the disgraceful scenes that unfolded."
The SPFL say they will be making no comment on the post-match scenes until they have seen their match delegate's report.
However. it is believed that the match officials have confirmed that the full time whistle was blown before the players left the field.
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