Cristiano Ronaldo moved three goals clear of Lionel Messi as the Champions League top scorer when he netted a hat-trick for Real Madrid in a 4-0 victory over 10-man Shakhtar Donetsk in their Group A opener.

Elsewhere, Manchester United missed a host of chances and let slip their lead in a 2-1 loss to PSV Eindhoven.

A howler from Shakhtar goal-keeper Andriy Pyatov let in Karim Benzema to score the opener in the 30th minute before the visitors were reduced to 10 men five minutes into the second half when Taras Stepanenko hacked down Sergio Ramos and was shown a second yellow card.

Real doubled their lead after Ronaldo converted a penalty in the 54th minute before adding another from the spot nine minutes later.

Ronaldo, who hit five past Espanyol in La Liga on Saturday, completed his hat-trick in the 81st minute when he followed up a Marcelo shot and headed into the net to take his Champions League tally to 80.