Postpublished at 20:13 British Summer Time 24 September 2014
Louis Longridge draws a fine save from Dan Twardzik, the goalkeeper tipping away the Hamilton man's 25-yard effort.
Quarter-final draw: Rangers v St Johnstone, Hibernian v Dundee United, Aberdeen v Hamilton Academical, Celtic v Partick Thistle
Hamilton beat Motherwell on penalties
Both sides had a man sent off in Lanarkshire derby
Guidetti, Commons & Eckersley og give Celtic win
Hearts' Sow missed spot-kick at Celtic Park
Fojut heads United winner in Dundee derby
Boyle sent off & Stewart missed penalty for Dundee
Andy Campbell
Louis Longridge draws a fine save from Dan Twardzik, the goalkeeper tipping away the Hamilton man's 25-yard effort.
Remember, the draw for the quarter-finals takes place after tonight's matches. We'll bring you live coverage.
Not much in the way of chances so far at New Douglas Park. Louis Longridge has threatened for the hosts without troubling goalkeeper Dan Twardzik.
That penalty was awarded during a good spell for Dundee but they do not yet have a reward for their early endeavours.
Greg Stewart's spot-kick is saved by Dundee United goalkeeper Radoslaw Cierzniak.
Dundee have a penalty. John Rankin fouls Paul McGowan and the visitors have the chance to go ahead.
John Guidetti's goal separates the two sides at the interval. Hearts started and finished the first half well. Celtic scored during a fairly dominant spell.
Hearts finishing the first half strongly. This time Prince Buaben drags a shot across the face of goal.
Great opportunity for Hearts as Jamie Walker takes advantage of a dreadful pass back towards goal by Emilio Izaguirre and smashes the ball off the crossbar.
Approaching half-time. Celtic still very much on top.
Hearts need to weather this storm before trying to regain the momentum they had at the start of the match. Osman Sow looks rather isolated in attack.
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Still goalless at New Douglas Park as well. Well's Josh Law had an early effort bocked.
Two good chances for Dundee. First Martin Boyle has an effort deflected just wide, then Luka Tankulic is denied by Radoslaw Cierzniak. It's a series of corners early on for Paul Hartley's men.
Callum McGregor squares for John Guidetti to net but an offside flag against the former brings play back. Relief for Hearts.
Hearts goalkeeper Neil Alexander prevents team-mate Morgaro Gomis from scoring an own goal, the stopper making a fine reaction save.
John Guidetti fired home to break his Celtic duck and open the scoring in Glasgow.
You can listen to online only commentary of Dundee United v Dundee using the 'Live Coverage' tab or using this link:
Dundee United v Dundee and Hamilton Academical v Motherwell are getting underway.
Andy: "Celtic certainly aren't risking their future participation in this League Cup competition by fielding a weakened team. Ronny Deila has chosen a strong side tonight, he wants as much silverware as possible this year."
Anonymous: "Hearts v Celtic both goakkeepers went to the same school in Edinburgh, Balerno High."
Celtic almost have a second as John Guidetti re-directs Callum McGregor's shot towards goal and Adam Eckersley has to hook the ball off the line to prevent Hearts falling further behind.