Here is a good video on Ray the soil guy on water infiltration:
https://vimeo.com/channels/raythesoilguy/52284015 but that is different from saving moisture. With sandy soil, I doubt lack of infiltration is an issue.
Again, no hard numbers but here is how I like to think of it. When you till, you not only remove any dead vegetation that was acting as mulch, you disturb the soil tilth and expose moisture below the surface directly to the sun, wind, and evaporation. No-till minimally opens the soil, drops in the seed, and closes it. As someone posted, it will take years to get the full benefits of no-till, but right out of the gate, you will save a lot of moisture. Again, the amounts will largely be related to your soil type. I have heavy clay, so it retains moisture well. Folks with sandy soil can have different issues. If you think of pure sand, water completely infiltrates through it and the sun and wind dry it from the top.
The longer-term benefit for folks with soil that is too much clay or too much sand is the fact that you can build OM from the top down. Tillage introduces o2 into the soil which speed microbial consumption of OM. With no-till you don't destroy the OM you build from dead decomposing vegetation. It can take decades to restore soil health through building OM, but the OM itself will help with moisture retention and proper infiltration.
Things only get better! Food plotters benefit even more. We don't harvest. That means many fewer nutrients are removed from the soil. The only thing that leaves the field is what deer eat, and they defecate to offset most of that. That means we can have successful plots with less and less inputs like fertilizer. If we are smart, we are using a good mix or rotation of complementary plants as well also contribution to the reduction in high cost inputs.
Thanks,
Jack