Hi Jimj,
That is either the carb overflow hose that is coming from one of the carbs, or it is the
one of two carb breathers.
Not to worry too much, but you should have at least 6 small hoses dropping behind your swing arm.
And if you need pics, just drop me a PM, and I'll get those pics for you.
And also...Howdy 400F owner
LL