Does cracked screen cause faster battery drain?

I dropped my Nexus 5 a week ago and the screen cracked diagonally 8cm from side to side. Since then I am sure that the battery drains faster than before. Previously I was always happy at how much battery life was left during the day, based on my experience of Nexus One and Galaxy Nexus. Now I am always noticing how quickly it is going down. I didn't measure battery usage before the damage so I can't prove my suspicion. The battery usage settings screen shows the screen as the highest battery user, as before. Again, I'm sure the recorded percentage of screen battery use is higher than previously, but I don't have figures from before the break. So, could there be a reason for the screen to use the battery more when it is cracked in half?