Kilkenny's Willie Mullins has confirmed that both Faugheen and Min are out of Cheltenham.
Faugheen had been among the favourites for this year's Champion Hurdle having previously won the race in 2015.
Min was second favourite for the Arkle, but has been suffering from a knee injury in the wake of the Racing Post Novice Chase at Leopardstown over Christmas.
Mullins remains hopeful that both will return to the track this season.
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