Dun1 Loc: Atlanta, GA

One lens that is considered a gotta be in th bag lens is a 70-200 2.8 lens.
If you shoot outdoor sports and have a large area to cover, baseball diamond, football you may need the reach of a 300 2.8, or a 400 2.8. Since I am my own sponsor I have used a 100-400 lens.
I have shot indoor sports with at 24 mm 2.8 lens, a 50 1.4 lens. The position you are allowed to shoot can help you decide if either of these lenses will work. Having either of those lenses is great, most indoor courts or arenas are poorly lighted, and not built with the photographer in mind.
Several years ago Scott Kelby gave a course on shooting sports, at one time he used to being a suitcase with money, and remarked a suitcase full of money is one of the biggest advantages of being able to shoot sports well, you have to good camera bodies, and expensive lenses to get the best results. Bill Frakes recently posted a shot of the equipment he used to shoot the Kentucky Derby here is a link
https://www.digitaltrends.com/photography/bill-frakes-kentucky-derby-2017
While few here, me included will never shot the Kentucky Derby it is nice to see what it takes.

muphoto

I got the D5 last December and it is one great camera. For football, soccer and baseball I use either my Nikon 200-400 f4 or my 400 f2.8 as my main lens with my 70-200 f2.8 and 17-35 f4 for closer action.
For basketball, softball, swimming, track and volleyball I use the 70-200 and the 17-35.

Gene51 Loc: Yonkers, NY, now in LSD (LowerSlowerDelaware)

There are two that stand out, the Nikkor 200 F2 and the Nikkor 105 F1.4. Both boast very fast AF.

http://www.photozone.de/nikon_ff/499-nikkorafs200f2vrff

https://photographylife.com/reviews/nikon-105mm-f1-4e

Note: Nikon has announced an updated 200mm VR to a VR II which is a little bit sharper.

https://photographylife.com/nikon-200mm-f2g-ed-vr-ii-lens

imagemeister Loc: mid east Florida

Now you're talking !

Gene51 Loc: Yonkers, NY, now in LSD (LowerSlowerDelaware)

I have not tried the 105, but I did do some shooting with a borrowed 200mm F2 - with a 2x TC it is still sharper than most lenses out there, and will still autofocus nicely. I was pretty slack-jawed after using it. The owner had to pry it from my hands . . .

speters Loc: Grangeville/Idaho

I do use a 135mm/f 2.0 sometimes for sports, but indoors, its just a bit too slow. Otherwise I like the sharpness and responsive AF. That's about it for something under 200mm, usually I do prefer longer focal length for that, even my 70-200. If budget is of no concern, go for longer primes! (200mm/f2.0, 300/2.8, 400/2.8 etc.)!

Brent Rowlett Loc: Atlanta, GA

I have just about every lens you can purchase including a 70-200 workhorse. However the 24-70 is just about the best lens for all around work. I agree with the comment image stabilization not needed. In the National Geographic open helicopter over Maui, being blown all over the place I stopped the rotar blade above at 1/1000 shutter speed.

cjc2 Loc: Hellertown PA

Perhaps there is something I'm missing here, and there is not a specific lens reference, but I would consider ANY F2.0 lens to be pretty "fast". For sports, I use whatever specific lenses work well for the sport and the venue. My selections are guided by experience with the specific sport and knowledge of the venue, if I have any. For football under the lights, I use my 400/2.8 and my 70-200/2.8 for the action shots. During daylight, I most often add the matched 1.4TC if there is enough light. Dependent upon what shots I need, I may use a variety of other lenses for those. I almost always use two bodies, and quite often, three. Heavy, I know, but I do what it takes to get the shots my client needs. For basketball I most often use anything from a 20/2.8 (on a D500), to the 70-200/2.8, but mostly shoot primes including the 20, 35/1.8, 50/1.4, 50/1.8, 80/1.4. I recently added a Sigma 135/1.8 ART but haven't really given it a workout yet, but I would expect I will use it for shots in lower light. One day, hopefully soon, I will be adding the new Nikon 105/1.4 which will quickly be added to the mix. On a personal note, I much prefer a fixed focal length lens for basketball as it reduces my urge to zoom, thereby missing shots, so I will also break out the 180/2.8D upon occasion, it's just not as fast at focusing as an AF-S lens. Sorry for the long reply. Have a great day!