I have the same problem. Sometimes it even prevents the phone (Note2) from proper charging. I've uploaded a print screen of what I see:
https://www.sugarsync.com/pf/D6834621_672_941231902
Normal charging rate is somewhere around 17% per hour. Now it's some 3 and it's killing my good mood. I've already uninstalled the FB chat (now can only use the in-fb-app chat) which disabled my direct sharing with other people - I can no longer directly share photos with anyone, must open main FB app first, select person to chat, select the photo and send (grrr).
This all was so frustrating to me, that I've uninstalled viber and wechat for the same reason, but it's the FB app that drives me nuts. Uninstalling FB app unfortunately de-synced my contacts which I use a lot, so that's not the way to go.
Too many people are using it as their main source of online presence hence I cannot simply step out of the game. But seriously, why is this? Not enough money in FB to finance something that actually works? Not to mention almost daily updates. Sometimes I really wish to become a mere farmer, living without all this BS
(︶^︶).