Random iPhone 6 User - that's my problem too, as I DON'T want to start from a scratch with *three* mobiles all which started to show exactly same symptoms right after 8.1.2 -> 8.1.3 upgrade.
Best I could do is to do full encrypted backup update and do firmware restore + backup restore. That would be minimal work afterwards instead of configuring 3 x dozens of software again. Then again, as Lawrence hinted earlier, you might get the same bug from backup OR in case it's a faulty app you still need - all the work done for nothing.
What I did notice though is when I was away from home and started with 100% charge, the iPhone 6 Plus I carried with me actually started to behave normally e.g the Usage time again started to make sense and likewise the mobile went continuously to Standby when not actively used.
I'm thinking whether the latest version has some issues with be it iTunes wifi sync or e.g with Handoff, as e.g in my case I have had during the previous days three MacBooks running with iTunes on, and also the phones and computers mutually have Handoff enabled and e.g the iMessage is propagated to all the OS X/iOS devices. Maybe that's preventing now mobiles going to standby when at home...
I'll try to test today a bit more.
So far the battery drain since upgrade in practice:
iPhone 5:
16:04 100%, Usage 4min, Standby 5min
17:47 91%, Usage 1h 37min, Standby 1h 48min
20:24 71%, Usage 3h 56min, Standby 4h 25min
0:27 47%, Usage 7h 12min, Standby 8h 27min
9:08 dead, Usage 12h 58min, Standby 16h 57min
iPhone 5s:
16:04 100%, Usage 2min, Standby 5min
17:47 96%, Usage 1h 34min, Standby 1h 48min
20:24 82%, Usage 3h 53min, Standby 4h 25min
0:27 66%, Usage 7h 12min, Standby 8h 27min
8:53 37%, Usage 13h 4min, Standby 16h 53min
iPhone 6 Plus:
16:04 100%, Usage 5min, Standby 6min
17:47 98%, Usage 1h 35min, Standby 1h 49min
20:24 84%, Usage 3h 48min, Standby 4h 26min
0:27 61%, Usage 7h 6min, Standby 8h 28min
8:53 45%, Usage 12h 26min, Standby 16h 54min
-p