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I believe to have solved the issue, however already at NLO the remaining O[as^2] has a quite lengthy expression...
Moreover at LO, if check the difference with the exact result everything is fine, but if we do an expansion in L or a0, to reach a good agreement I have to retain 3 orders.
I reshuffled the test a bit: lowering L and dropping thus the 3. order
now this is a hard math statement: the difference is proportional a0∗L, which we see is not well behaved
in fact, even for Q12=992 (and xif2 = 0.9) I can not drop the second order
Thanks, this is fine, in real life we are even using xif=0.5, so even worst!!
And if one choose a lower $Q^2$ even even a0, a1 can be larger! (from NLO the difference depends also on a1)
Not sure we can do much, apart coding the complete analytic expansion (as I did for LO in previous commits),
and verify it matches at NLO. Then if you take the series of that expression you can see it's $\mathcal{O}(as^2)$
I extended the test to NLO.
Given that numbers are so close to 1, not sure we are actually testing anything but still...
I think we can merge @felixhekhorn
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This PR aims to close issue #201 and provide a reasonable test for the difference between the
scale variations kernels, at least for FFNS.
A further test at PDF level would be possible, but even more complicated.