Generally, any f/2.8 lens works here.
Too much lower, and the depth is too shallow to use feasibly in a hand-held situation. Lower (faster) lenses will give better viewfinder clarity, and the 2.8 may be sharper since the lens would be stopped down. Max aperture is often not the sharpest range of the lens. A good prime of 50mm, 85mm or 105mm would maybe look nice, shot at f/2.8.
When I shoot concerts, it's usually with a modern high-ISO body, such as the Nikon D3 or the Canon 5D (or 5D MkII). Those give low noise and allow for faster shutters to catch the action of the stage.
Honestly, most stages are lit up enough that I was shooting ISO 800 Fuji film with f/2.8 lenses, and the photos were publish-quality for newspapers, in approximate 5x7 to 8x10 sizes. I could push the film to ISO 1600 and get slightly grainier but potentially sharper (from stop-action) images. This was in the late 1990s.
Canon L glass would be great, or even the Sigma 70-200 you're already using. It mostly depends on how close to the stage you plan to be.
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