I’ve written about this experiment a few times before, see these articles. I haven’t had time to write anything about the new result yet, and maybe I will now wait until the dust settles a bit. I did talk to Ian Taylor at BBC Science Focus, and he wrote that up as a “Bluffer’s Guide”, which you might find useful and/or interesting.
I wrote about an earlier version of this measurement here. We have now measured the distribution with the full data set from the highest energy (13TeV) collisions that we have so far. There was also quite a lot of work involved in making the measurement (even) more model-independent, and testing the statistical treatment of the various way in which it can be (re)interpreted.