Galaxy S6 Edge :: Screen Stopped Working

So I've never dropped my s6 edge. It's only 20 days old in fact. However today all of a sudden the touch screen will not work. The two bottom buttons work as does the fingerprint work so I can unlock the phone and see the home screen but not do anything else. Typically if battery pull to fix something like this, however of course this is not possible on the s6.

So I've held the power button for 30 secs and it won't turn off cos it wants me too press the screen power off button, I've tried restarting it by booting it into download mode.