You asked
Canon ef 70 200mm f 4l usm vs sigma 70 200mm f 2 8 dg os hsm sports?
The Sigma is the one for sport and fast action. It's f/2.8, so you get more light and a shallower background, and it has stabilisation, which the Canon lacks. It's also made for both full frame and APS-C, and it fits Canon EF and Nikon F bodies. The Sigma 70-200mm f/2.8 DG OS HSM Sports is the pick if you shoot indoors or in poor light.
The Canon EF 70-200mm f/4L USM is the lighter, cheaper-to-carry choice. It's a classic used buy for outdoor work in good light, but it has no stabilisation and f/4 gives you less light to work with.
If you're mainly shooting distant subjects, the reach notes on the wildlife and sport page are worth a read before you decide.
Written by Claude from this site's pages.