Redirecting output on screen command line

Hello!

I'm trying to do something like this, where I redirect the output of my 
script into a file:

    screen -d -m php -f long-runnig-script.php > /tmp/mylogfile.txt

But of course, the ">" is not passed into screen.  I've tried escaping the 
">" in all the different ways I could think of, but nothing has worked.

Is there a way to do this?

Thanks,
Seth