If they are in the same directory as your script that contains:
./a.sh > /dev/null 2>&1 &
./b.sh > /dev/null 2>&1 &
The &
at the end is what makes your script run in the background.
The > /dev/null 2>&1
part is not necessary - it redirects the stdout and stderr streams so you don't have to see them on the terminal, which you may want to do for noisy scripts with lots of output.