Just spent 3 hours researching this issue, as I am facing the same problem with my Surface 2. I have looked up the Sleep Study, and mostly the Tegra drivers are responsible. I am getting only 2.5 days standby time. I have already exchanged the device once.
One more strange thing is that every time I look for updates (a couple of times every day!), there are many found. They take a while to download and install (last time there were 47 updates, and took an hour to download and install. The tablet shut down and restarted a couple of times on its own after they were downloaded). Don't know if this is normal.
What I'm finding strange is that not everyone seems to be experiencing this issue, as some people report great on-screen time from a charge (8-10 hours) and close to advertised standby time (7-15 days). After all, it is a software glitch...
Everyone who is experiencing this issue - I feel your pain. The Surface 2 is a great piece of hardware, but the battery life on standby, and a few other issues are really letting it down, I hope they can be resolved.
A resolution by the Microsoft team is definitely necessary.
Thanks