You asked
Is the sigma 500mm f 4 dg os hsm sports good for wildlife?
Yes, I think it's a strong choice for wildlife. You get 500mm, a constant f/4 aperture that gathers plenty of light, stabilisation, and autofocus, which covers most of what a distant, fast-moving subject demands. It's made for full frame, and on an APS-C body it frames like 750mm (Nikon) or 800mm (Canon), so a camera like the Nikon D500 or Canon EOS 7D Mark II gives you extra reach.
If you want more zoom flexibility, the Sigma 300-600mm f/4 is worth a look. If you need something lighter to carry, the Sigma 500mm f/5.6 is the easier option. For more on the subject, see wildlife and sport.
Written by Claude from this site's pages.