Do you have alarms or anything of sort? (it might matter)
Disable all syncs, try to off (most) of those chat apps like wechat and line etc(go to settings>apps force stop), wechat in particular drains quite a lot.
I don't use stock but mine is close to it but I deleted lots of bloats from TB.
I only leave whatsapp on.
Infact, try out using Airplane, if even in airplane the battery still sucks, try reflashing everything using bootloader.
Name: Nexus 4 Mako
ROM: BrainMaster JWR
Kernel & Tweaks: Franco/Trinity
Devices I once had(Or still have):
LG Nexus 4(present), Samsung Nexus S(present), LG Optimus 4X HD P880(sold), HTC Sensation XE Pyramid(sold), Samsung Galaxy Wonder i8150(spare)
Devices I have minor experience about:
Samsung Galaxy Y, Samsung Galaxy i9100, Samsung Galaxy i9100G, Samsung Galaxy SIII Mini i8190N, HP iPaQ500(retired and yes its an antique)