might want to check your network strength.. That could easily drain your battery.. Did you break in the battery yet.. so many factors. Maybe a sim replacement.. Another guess. android os is running quite high...
ok - i think you have a nexus 4.. there has been a lot of complaints about battery life in general with 4.4 - Your best bet is a factory reset.. let it run for a couple of days.. If you still have problems i would roll back to 4.3. Assuming you had better battery life.
i have come to the harsh realization that the nexus division is great for developers, but not for daily drivers.. If one has followed the nexus series closely since its inception. Every model has been plagued with problems... Fallacy nexus (galaxy nexus lte edition) - fail.. nexus 7 2012 - fail.. 5 hours of tablet battery life if i'm lucky.
Hope some info might have helped...