What is "LL" fitting option now doing?

That’s an interesting issue.
The current ROOT “User’s Guide” (v5.26) mentions the “LL” option (but not the “WL” one) in the “Chapter 5. Fitting Histograms” in “The Fit Method” section:
http://root.cern.ch/download/doc/ROOTUsersGuideHTML/ch05.html#d5e4997
http://root.cern.ch/download/doc/5FittingHistograms.pdf
while “LL” is not present (but “WL” is there) in the current (ROOT 5.30 and newer):
http://root.cern.ch/root/html/TH1.html#TH1:Fit@1
though “LL” is still present (but not the “WL”) in ROOT 5.28:
http://root.cern.ch/root/html528/TH1.html#TH1:Fit

Just for the case something disappears completely one day: [quote]“LL” - An improved Log Likelihood fit in case of very low statistics and when bin contents are not integers. Do not use this option if bin contents are large (greater than 100).[/quote] [quote]“WL” - Use Loglikelihood method and bin contents are not integer, i.e. histogram is weighted (must have Sumw2() set)[/quote]
Some further explanations can be found in [url]Fitting histogram weighted with low stats “WL” option