Check this thread I created on the regular S6 forum, it will show you all 5.1.1 new stuff but the most important thing is the part related to battery, check the link.
http://forums.androidcentral.com/samsung-galaxy-s6/555450-what-s-new-5-1-1-some-interesting-battery-related-stuff.html
http://forums.androidcentral.com/samsung-galaxy-s6/555450-what-s-new-5-1-1-some-interesting-battery-related-stuff.html
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