Open Broadcaster Software is a broadcasting program that can do live stream on different sites including Twitch.tv
It is open source so it won't have any issues with copyright.
It's website is here
...and the SourceForge page is here
This will be a good thing to make it portable.
Thanks for reading ! 
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Open Broadcaster Software Portable
November 2, 2013 - 3:38pm
#1
Open Broadcaster Software Portable
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When Satan is knocking at your door, simply say, Jesus, could you get that for me?
This program already runs in Portable mode;
please see this link on how to do this;
http://jp9000.github.io/OBS/general/shortcut.html
https://portableapps.com/node/53266