New 70-200 sigma (nikon) or 80-200 nikkor?

Which is better?
thanks

Added (1). Thank you

@yes I hope to you it as more as possible
and
@the 80-200 hasn't vibration control (and is the only one I tried… It seemed a very good lens)

but which is the better and why? There are alternatives (around this price)?

Visually, very little difference. Go with the lens with the lowest F-Stop setting and make sure you get the vibration control option on either lens. I have a 90-230 that I like so much I hardly ever take it off the camera.

How long do you intend to keep and use the lens?

If you have any long term plans, stick with Nikkor