The pair - who were captured on camera joking about smoking the drug as they passed around a suspicious-looking roll-up cigarette on their way to Peru's Estadio Nacional in Lima on April 27 - are believed to have recorded the incident on the futuristic Google device.
According to The Mirror newspaper, lawyers for the band have launched an urgent investigation into how the footage was leaked and believe that the specs - which cost around £1000 and can store huge amounts of data - will be at the centre of the search.
Meanwhile, the boy's bandmate Harry Styles is said to be furious with their ''stupid and reckless'' behaviour.
A source told The Sun newspaper: ''Harry is annoyed about the whole debacle. This should be one of the biggest weeks of the band's career with the launch of their UK stadium tour.
''Instead it has been taken over by this controversy. Harry thinks it was a stupid and reckless thing for Louis to allow to be filmed in the first place.''
Louis, 22, is also said to be increasingly concerned by the reaction of his fans and is constantly checking his phone for news of their thoughts on the incriminating film.
The source said: ''He was up checking his phone to see the reaction.
''He understands the whole world is talking and he is trying to work out how to limit the damage.''
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