The solution already posted by bleachisback right here
should work
If for some reason its not and you don't want to try to figure out why you could always download the Jar file instead of the exe then open up command promp in windows. Go to the location of the jar file (for example if its on your desktop type "cd desktop"), then run the command "java -d64 -jar technic-launcher-latest.jar"
If that works then you can always set up a .bat to launch it instead of constantly going into the command prompt to do it.