You asked
Is the sigma 70 200mm f 2 8 dg os hsm sports good for portraits?
Yes, it's a strong portrait lens. At 70-200mm you stand far enough back that faces look natural, and f/2.8 gives you the soft background you want outdoors, with room between you and your subject. That distance is the main reason longer lenses flatter faces, as the portraits guide explains.
It's stabilised and autofocuses, which helps when your subject moves. It's big and heavy for a relaxed session, though, and indoors you may find yourself backed into a corner. On APS-C it frames tighter still, like roughly 105-300mm on Nikon or 112-320mm on Canon, which suits headshots.
If you want something lighter, start with an 85mm. It's the classic full-frame portrait focal length and far easier to carry all day.
Written by Claude from this site's pages.