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Mask intrinsic bottom/top contributions when building FK tables#253

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Radonirinaunimi wants to merge 2 commits into
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fix-intrinsic-leak
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Mask intrinsic bottom/top contributions when building FK tables#253
Radonirinaunimi wants to merge 2 commits into
mainfrom
fix-intrinsic-leak

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@Radonirinaunimi

@Radonirinaunimi Radonirinaunimi commented Jun 21, 2026

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This PR fixes a bug where FK tables produced for fixed-flavor-number EKOs (e.g. the FONLL ffns4massive component, NfFF: 4) could leak spurious intrinsic bottom/top contributions into the predictions (see also NNPDF/yadism#380).

eko automatically treats any heavy-quark flavor with index greater than the operator's active nf as "intrinsic", ie. it assigns it an identity evolution operator (see #L96-L102). This becomes a problem when the convolved grid has nonzero bottom/top-initiated channels.

The solution proposed here is to simply mask the corresponding entries of the operator for bottom and top.

TODO:

with:
pixi-version: v0.65.0
cache: true
activate-environment: true

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I'm totally in favour of dropping poetry for pixi.

But I'm against having two competing lock files in the repository. Either one or the other.

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I don't think I agree with this. The point of the pixi config here is to simply and easily provide LHAPDF for the regression in an isolated environment. It doesn't do anything more than that. And as you can see in the CI, poetry is still the one that orchestrates the build/installation.

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So, in this sense, there isn't a competing lock files at all. Of course we might say we want to fully switch to pixi but that'll involve a non-negligible amount of changes that should not be part of this PR.

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Then I would not commit the lockfile to the repo nor I would add a global pixi.toml file.

You can add a pixi subfield to the pyproject.toml if you want to use it for the tests.

Comment thread src/pineko/evolve.py
# identity-evolved) at every scale. However, intrinsic bottom and top must never
# leak into the FK table, so their flavor-basis columns are masked whenever EKO
# would otherwise treat them as intrinsic (flavor index > nf). Charm is excluded
# here, since intrinsic charm is the supported feature.

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I think I disagree with this.
Leaking into the fktable is not a problem if they are hit with a PDF that is 0 at the fitting scale, like would be the case for the bottom.
If this is the way we want to fix it, it should be fixed at the level of yadism (so no bottom in the grid) rather than removing it here.

Either that or the removal should be informed by the theory card.

@Radonirinaunimi Radonirinaunimi Jun 22, 2026

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In hindsight, I would tend to agree with that for the main reason that doing it in this way will make PineAPPL grids and EKOs (by themselves) completely useless without pineko.

@felixhekhorn felixhekhorn added the bug Something isn't working label Jun 22, 2026
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I'm not convinced by this PR ...First: does this PR fix the discrepancy we observe? If the answer is no, this PR should be dropped; if the answer is yes, we can accept this PR as a hotfix, but it is NOT the solution - it would rather mask another, deeper problem

@Radonirinaunimi

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I'm not convinced by this PR ...First: does this PR fix the discrepancy we observe? If the answer is no, this PR should be dropped

I am not sure what you mean? I explicitly check that this resolve the discrepancy, that's the sole purpose of it.

if the answer is yes, we can accept this PR as a hotfix, but it is NOT the solution - it would rather mask another, deeper problem

Again, I am not sure what do you mean. There are various solutions to address the problem, but the question is which approach is more suitable (correct). And because of this #253 (comment), I am now convinced (as @scarlehoff suggest) that this approach NNPDF/yadism#382 is more correct.

@felixhekhorn

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I explicitly check that this resolve the discrepancy

I just wanted to hear that - just wanted to be 100% sure there is a problem with this.

There are various solutions to address the problem

While we know there is "a" problem, I still do not understand what the problem is exactly.

we all agree that the right thing is to not account for intrinsic bottom and the best way - in my opinion - is to do so at input scale level, by providing no intrinsic bottom there. I consider that "best" because it is the most general thing and the whole pipeline has been designed around this.

From your comparison here, we think that yadism is doing the right thing: if you provide no intrinsic bottom: before=after

From the snippet below, we can check that also eko is doing the right thing: if you provide no intrinsic bottom, it remains 0 for all kinematic bins.

So: if yadism does what is expected and eko does what is expected, why is this PR a solution?

Check eko snippet
import eko
from ekobox.apply import apply_pdf
import pathlib
import lhapdf

pdf = lhapdf.mkPDF("NNPDF40_nnlo_as_01180",0)

with eko.EKO.read(pathlib.Path("./debug/HERA_NC_318GEV_EM_SIGMARED.tar")) as evolution_operator:
    evolved_pdfs, _integration_errors = apply_pdf(evolution_operator, pdf)
   
for ep, op in evolved_pdfs.items():
    print(ep)
    print(op[5])
import pdb; pdb.set_trace()

@scarlehoff

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@Radonirinaunimi was the problem at the end the fktable optimization putting intrinsic bottom where the light quarks ought to be?

@Radonirinaunimi

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@felixhekhorn I understand your point and I am wondering whether we are being consistent in comparing FK tables computed from different places.

To resolve the mystery about the intrinsic bottom PDF, I computed two different grids from yadism: one with the main (that contains IB contributions) and one with NNPDF/yadism#382 (where IB are explicitly set to zero). Recall that these are still ffns4massive theories. I then evolved both grids (calling pineko's API) using an EKO computed from 4100001803 (which I checked contain zeros for the op[5] entries as also shown in @felixhekhorn snippet).

When comparing the resulting FK tables, both agree of the order of $10^{-16}$. So everything (yadism, eko, pineko) is consistent. That also means @scarlehoff that the optimization does not alter or change the results in any way.

So I am now convinced that when using exactly the same settings across the board, we (should) get the same results as before and everything is in the end fine.

NB: See materials to reproduce the results.

@scarlehoff

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Wait, then there was no bug at all?

@Radonirinaunimi

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Wait, then there was no bug at all?

Yes, and all the partial comparisons (partial in the sense that they were not exactly the same settings as before) that we've done so far fooled us in believing there are.

@felixhekhorn

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Wait, then there was no bug at all?

Yes, and all the partial comparisons (partial in the sense that they were not exactly the same settings as before) that we've done so far fooled us in believing there are.

but what about the comparison done by Juan R. - he was comparing final FK tables, without any intermediate mess and we started from there

@scarlehoff

scarlehoff commented Jun 22, 2026

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Then the fktables in 4.1 were always correct?
But they did not agree, did they?

I'm very confused about these news. I guess the bug was only the original fktable comparison?

@Radonirinaunimi

Radonirinaunimi commented Jun 22, 2026

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And just got the combined FK table from @andrpie for theory ID 4100001803 (exact same theory settings as 40008005 but might still differ in some evolution settings (?)) and the differences are below permille.

Check eko snippet
❯ pineappl diff 40008005_HERA_NC_318GEV_EM_SIGMARED.pineappl.lz4 4100001803_HERA_NC_318GEV_EM_SIGMARED.pineappl.lz4 NNPDF40_nnlo_as_01180
 b      x1           x2               x3                      O(as^0 a^0)
---+-----+-----+------+------+---------+---------+------------+------------+---------
  0    60    60 0.0008 0.0008   0.74111   0.74111  1.4312753e0  1.4304361e0 -5.863e-4
  1    90    90 0.0013 0.0013    0.6841    0.6841  1.3934655e0  1.3931751e0 -2.084e-4
  2    90    90 0.0015 0.0015   0.59289   0.59289  1.3667532e0  1.3667102e0 -3.146e-5
  3    90    90  0.002  0.002   0.44466   0.44466  1.2883208e0  1.2885928e0  2.111e-4
  4   120   120 0.0016 0.0016   0.74111   0.74111  1.3639729e0  1.3637052e0 -1.963e-4
  5   120   120  0.002  0.002   0.59289   0.59289  1.3245782e0  1.3246726e0  7.129e-5
  6   120   120 0.0032 0.0032   0.37055   0.37055  1.1801007e0  1.1805456e0  3.770e-4
  7   150   150  0.002  0.002   0.74111   0.74111  1.3273220e0  1.3271648e0 -1.184e-4
  8   150   150 0.0032 0.0032   0.46319   0.46319  1.2103763e0  1.2107326e0  2.944e-4
  9   150   150  0.005  0.005   0.29644   0.29644  1.0586593e0  1.0591543e0  4.676e-4
 10   150   150  0.008  0.008   0.18528   0.18528 9.0466200e-1 9.0517248e-1  5.643e-4
 11   150   150  0.013  0.013   0.11402   0.11402 7.6586562e-1 7.6633328e-1  6.106e-4
 12   200   200 0.0026 0.0026   0.76011   0.76011  1.2729382e0  1.2728416e0 -7.587e-5
 13   200   200 0.0032 0.0032   0.61759   0.61759  1.2319916e0  1.2321576e0  1.348e-4
 14   200   200  0.005  0.005   0.39526   0.39526  1.0931042e0  1.0935108e0  3.720e-4
 15   200   200  0.008  0.008   0.24704   0.24704 9.3492293e-1 9.3537287e-1  4.813e-4
 16   200   200  0.013  0.013   0.15202   0.15202 7.8840992e-1 7.8882570e-1  5.274e-4
 17   200   200   0.02   0.02  0.098814  0.098814 6.7773311e-1 6.7809147e-1  5.288e-4
 18   200   200  0.032  0.032  0.061759  0.061759 5.7629551e-1 5.7657809e-1  4.903e-4
 19   200   200   0.05   0.05  0.039526  0.039526 4.9612075e-1 4.9632664e-1  4.150e-4
 20   200   200   0.08   0.08  0.024704  0.024704 4.2757563e-1 4.2770409e-1  3.004e-4
 21   200   200   0.13   0.13  0.015202  0.015202 3.6836570e-1 3.6843283e-1  1.823e-4
 22   200   200   0.18   0.18  0.010979  0.010979 3.2542633e-1 3.2546681e-1  1.244e-4
 23   250   250 0.0033 0.0033   0.74859   0.74859  1.2206804e0  1.2206599e0 -1.681e-5
 24   250   250  0.005  0.005   0.49407   0.49407  1.1129491e0  1.1132605e0  2.798e-4
 25   250   250  0.008  0.008   0.30879   0.30879 9.5640078e-1 9.5679698e-1  4.143e-4
 26   250   250  0.013  0.013   0.19003   0.19003 8.0511372e-1 8.0548853e-1  4.655e-4
 27   250   250   0.02   0.02   0.12352   0.12352 6.8973045e-1 6.9005398e-1  4.691e-4
 28   250   250  0.032  0.032  0.077199  0.077199 5.8386572e-1 5.8411996e-1  4.354e-4
 29   250   250   0.05   0.05  0.049407  0.049407 5.0036874e-1 5.0055325e-1  3.687e-4
 30   250   250   0.08   0.08  0.030879  0.030879 4.2914490e-1 4.2925979e-1  2.677e-4
 31   250   250   0.13   0.13  0.019003  0.019003 3.6772975e-1 3.6778980e-1  1.633e-4
 32   250   250   0.18   0.18  0.013724  0.013724 3.2351729e-1 3.2355343e-1  1.117e-4
 33   250   250   0.25   0.25 0.0098814 0.0098814 2.6422942e-1 2.6424615e-1  6.332e-5
 34   250   250    0.4    0.4 0.0061759 0.0061759 1.4447912e-1 1.4448129e-1  1.502e-5
 35   300   300 0.0039 0.0039   0.76011   0.76011  1.1789454e0  1.1789355e0 -8.406e-6
 36   300   300  0.005  0.005   0.59289   0.59289  1.1216257e0  1.1218338e0  1.855e-4
 37   300   300  0.008  0.008   0.37055   0.37055 9.7199695e-1 9.7234301e-1  3.560e-4
 38   300   300  0.013  0.013   0.22803   0.22803 8.1817250e-1 8.1851321e-1  4.164e-4
 39   300   300   0.02   0.02   0.14822   0.14822 6.9925908e-1 6.9955501e-1  4.232e-4
 40   300   300  0.032  0.032  0.092638  0.092638 5.8990297e-1 5.9013533e-1  3.939e-4
 41   300   300   0.05   0.05  0.059289  0.059289 5.0375749e-1 5.0392575e-1  3.340e-4
 42   300   300   0.08   0.08  0.037055  0.037055 4.3039823e-1 4.3050290e-1  2.432e-4
 43   300   300   0.13   0.13  0.022803  0.022803 3.6723023e-1 3.6728498e-1  1.491e-4
 44   300   300   0.18   0.18  0.016469  0.016469 3.2201008e-1 3.2204299e-1  1.022e-4
 45   300   300   0.25   0.25  0.011858  0.011858 2.6194772e-1 2.6196303e-1  5.844e-5
 46   300   300    0.4    0.4 0.0074111 0.0074111 1.4205579e-1 1.4205800e-1  1.557e-5
 47   400   400 0.0053 0.0053   0.74577   0.74577  1.1018916e0  1.1019293e0  3.420e-5
 48   400   400  0.008  0.008   0.49407   0.49407 9.9072547e-1 9.9097588e-1  2.528e-4
 49   400   400  0.013  0.013   0.30404   0.30404 8.3738385e-1 8.3766938e-1  3.410e-4
 50   400   400   0.02   0.02   0.19763   0.19763 7.1384284e-1 7.1409725e-1  3.564e-4
 51   400   400  0.032  0.032   0.12352   0.12352 5.9927399e-1 5.9947465e-1  3.348e-4
 52   400   400   0.05   0.05  0.079051  0.079051 5.0906089e-1 5.0920600e-1  2.851e-4
 53   400   400   0.08   0.08  0.049407  0.049407 4.3240583e-1 4.3249606e-1  2.087e-4
 54   400   400   0.13   0.13  0.030404  0.030404 3.6653658e-1 3.6658386e-1  1.290e-4
 55   400   400   0.18   0.18  0.021959  0.021959 3.1976909e-1 3.1979747e-1  8.875e-5
 56   400   400   0.25   0.25   0.01581   0.01581 2.5852424e-1 2.5853752e-1  5.137e-5
 57   400   400    0.4    0.4 0.0098814 0.0098814 1.3843520e-1 1.3843743e-1  1.606e-5
 58   500   500 0.0066 0.0066   0.74859   0.74859  1.0441989e0  1.0442436e0  4.280e-5
 59   500   500  0.008  0.008   0.61759   0.61759 9.9682388e-1 9.9697894e-1  1.555e-4
 60   500   500  0.013  0.013   0.38005   0.38005 8.5058077e-1 8.5082166e-1  2.832e-4
 61   500   500   0.02   0.02   0.24704   0.24704 7.2481115e-1 7.2503566e-1  3.097e-4
 62   500   500  0.032  0.032    0.1544    0.1544 6.0655057e-1 6.0672961e-1  2.952e-4
 63   500   500   0.05   0.05  0.098814  0.098814 5.1326597e-1 5.1339562e-1  2.526e-4
 64   500   500   0.08   0.08  0.061759  0.061759 4.3408700e-1 4.3416767e-1  1.858e-4
 65   500   500   0.13   0.13  0.038005  0.038005 3.6614672e-1 3.6618906e-1  1.156e-4
 66   500   500   0.18   0.18  0.027448  0.027448 3.1819586e-1 3.1822123e-1  7.974e-5
 67   500   500   0.25   0.25  0.019763  0.019763 2.5604808e-1 2.5605999e-1  4.650e-5
 68   500   500    0.4    0.4  0.012352  0.012352 1.3580271e-1 1.3580489e-1  1.609e-5
 69   500   500   0.65   0.65 0.0076011 0.0076011 2.1307946e-2 2.1301989e-2 -2.796e-4
 70   650   650 0.0085 0.0085   0.75564   0.75564 9.7576061e-1 9.7580547e-1  4.597e-5
 71   650   650  0.013  0.013   0.49407   0.49407 8.6285482e-1 8.6303639e-1  2.104e-4
 72   650   650   0.02   0.02   0.32115   0.32115 7.3733491e-1 7.3752550e-1  2.585e-4
 73   650   650  0.032  0.032   0.20072   0.20072 6.1537336e-1 6.1552988e-1  2.543e-4
 74   650   650   0.05   0.05   0.12846   0.12846 5.1855454e-1 5.1866859e-1  2.200e-4
 75   650   650   0.08   0.08  0.080287  0.080287 4.3638641e-1 4.3645758e-1  1.631e-4
 76   650   650   0.13   0.13  0.049407  0.049407 3.6598076e-1 3.6601815e-1  1.022e-4
 77   650   650   0.18   0.18  0.035683  0.035683 3.1662226e-1 3.1664457e-1  7.045e-5
 78   650   650   0.25   0.25  0.025692  0.025692 2.5339493e-1 2.5340536e-1  4.119e-5
 79   650   650    0.4    0.4  0.016057  0.016057 1.3291816e-1 1.3292023e-1  1.553e-5
 80   800   800 0.0105 0.0105   0.75287   0.75287 9.2114552e-1 9.2118833e-1  4.647e-5
 81   800   800  0.013  0.013   0.60809   0.60809 8.6828521e-1 8.6840441e-1  1.373e-4
 82   800   800   0.02   0.02   0.39526   0.39526 7.4688707e-1 7.4704677e-1  2.138e-4
 83   800   800  0.032  0.032   0.24704   0.24704 6.2282805e-1 6.2296612e-1  2.217e-4
 84   800   800   0.05   0.05    0.1581    0.1581 5.2326046e-1 5.2336233e-1  1.947e-4
 85   800   800   0.08   0.08  0.098814  0.098814 4.3864730e-1 4.3871109e-1  1.454e-4
 86   800   800   0.13   0.13  0.060809  0.060809 3.6620442e-1 3.6623796e-1  9.158e-5
 87   800   800   0.18   0.18  0.043917  0.043917 3.1568270e-1 3.1570258e-1  6.298e-5
 88   800   800   0.25   0.25  0.031621  0.031621 2.5155307e-1 2.5156226e-1  3.652e-5
 89   800   800    0.4    0.4  0.019763  0.019763 1.3081441e-1 1.3081626e-1  1.418e-5
 90   800   800   0.65   0.65  0.012162  0.012162 1.9780981e-2 1.9777045e-2 -1.990e-4
 91  1000  1000  0.013  0.013   0.76011   0.76011 8.6677716e-1 8.6681409e-1  4.261e-5
 92  1000  1000   0.02   0.02   0.49407   0.49407 7.5641050e-1 7.5653612e-1  1.661e-4
 93  1000  1000  0.032  0.032   0.30879   0.30879 6.3161389e-1 6.3173498e-1  1.917e-4
 94  1000  1000   0.05   0.05   0.19763   0.19763 5.2916510e-1 5.2925659e-1  1.729e-4
 95  1000  1000   0.08   0.08   0.12352   0.12352 4.4176743e-1 4.4182512e-1  1.306e-4
 96  1000  1000   0.13   0.13  0.076011  0.076011 3.6696973e-1 3.6699997e-1  8.242e-5
 97  1000  1000   0.18   0.18  0.054897  0.054897 3.1510140e-1 3.1511908e-1  5.608e-5
 98  1000  1000   0.25   0.25  0.039526  0.039526 2.4990977e-1 2.4991769e-1  3.166e-5
 99  1000  1000    0.4    0.4  0.024704  0.024704 1.2875653e-1 1.2875807e-1  1.190e-5
100  1200  1200  0.014  0.014   0.84698   0.84698 8.4504679e-1 8.4505074e-1  4.667e-6
101  1200  1200   0.02   0.02   0.59289   0.59289 7.6294967e-1 7.6305259e-1  1.349e-4
102  1200  1200  0.032  0.032   0.37055   0.37055 6.3963187e-1 6.3974660e-1  1.794e-4
103  1200  1200   0.05   0.05   0.23715   0.23715 5.3495320e-1 5.3504207e-1  1.661e-4
104  1200  1200   0.08   0.08   0.14822   0.14822 4.4509035e-1 4.4514663e-1  1.264e-4
105  1200  1200   0.13   0.13  0.091213  0.091213 3.6816384e-1 3.6819306e-1  7.939e-5
106  1200  1200   0.18   0.18  0.065876  0.065876 3.1507510e-1 3.1509179e-1  5.298e-5
107  1200  1200   0.25   0.25  0.047431  0.047431 2.4890240e-1 2.4890954e-1  2.870e-5
108  1200  1200    0.4    0.4  0.029644  0.029644 1.2725702e-1 1.2725825e-1  9.599e-6
109  1500  1500   0.02   0.02   0.74111   0.74111 7.6786487e-1 7.6792424e-1  7.732e-5
110  1500  1500  0.032  0.032   0.46319   0.46319 6.5088590e-1 6.5098906e-1  1.585e-4
111  1500  1500   0.05   0.05   0.29644   0.29644 5.4382936e-1 5.4391417e-1  1.560e-4
112  1500  1500   0.08   0.08   0.18528   0.18528 4.5057290e-1 4.5062720e-1  1.205e-4
113  1500  1500   0.13   0.13   0.11402   0.11402 3.7062769e-1 3.7065541e-1  7.480e-5
114  1500  1500   0.18   0.18  0.082345  0.082345 3.1580709e-1 3.1582224e-1  4.800e-5
115  1500  1500   0.25   0.25  0.059289  0.059289 2.4821544e-1 2.4822124e-1  2.339e-5
116  1500  1500    0.4    0.4  0.037055  0.037055 1.2568982e-1 1.2569040e-1  4.574e-6
117  1500  1500   0.65   0.65  0.022803  0.022803 1.8123505e-2 1.8121178e-2 -1.284e-4
118  2000  2000 0.0219 0.0219   0.90241   0.90241 7.5042697e-1 7.5038315e-1 -5.840e-5
119  2000  2000  0.032  0.032   0.61759   0.61759 6.6806329e-1 6.6810582e-1  6.366e-5
120  2000  2000   0.05   0.05   0.39526   0.39526 5.5965085e-1 5.5970501e-1  9.677e-5
121  2000  2000   0.08   0.08   0.24704   0.24704 4.6112451e-1 4.6116204e-1  8.139e-5
122  2000  2000   0.13   0.13   0.15202   0.15202 3.7619764e-1 3.7621605e-1  4.893e-5
123  2000  2000   0.18   0.18   0.10979   0.10979 3.1852258e-1 3.1853119e-1  2.703e-5
124  2000  2000   0.25   0.25  0.079051  0.079051 2.4854625e-1 2.4854756e-1  5.289e-6
125  2000  2000    0.4    0.4  0.049407  0.049407 1.2421410e-1 1.2421283e-1 -1.024e-5
126  2000  2000   0.65   0.65  0.030404  0.030404 1.7522198e-2 1.7520224e-2 -1.127e-4
127  3000  3000  0.032  0.032   0.92638   0.92638 6.8977157e-1 6.8984948e-1  1.130e-4
128  3000  3000   0.05   0.05   0.59289   0.59289 5.9315903e-1 5.9326725e-1  1.825e-4
129  3000  3000   0.08   0.08   0.37055   0.37055 4.8621893e-1 4.8629254e-1  1.514e-4
130  3000  3000   0.13   0.13   0.22803   0.22803 3.9107356e-1 3.9110656e-1  8.439e-5
131  3000  3000   0.18   0.18   0.16469   0.16469 3.2745249e-1 3.2746534e-1  3.926e-5
132  3000  3000   0.25   0.25   0.11858   0.11858 2.5240502e-1 2.5240471e-1 -1.252e-6
133  3000  3000    0.4    0.4  0.074111  0.074111 1.2352908e-1 1.2352499e-1 -3.310e-5
134  3000  3000   0.65   0.65  0.045607  0.045607 1.6870296e-2 1.6868429e-2 -1.107e-4
135  5000  5000 0.0547 0.0547   0.90324   0.90324 6.3165220e-1 6.3171677e-1  1.022e-4
136  5000  5000   0.08   0.08   0.61759   0.61759 5.4674633e-1 5.4681614e-1  1.277e-4
137  5000  5000   0.13   0.13   0.38005   0.38005 4.3089912e-1 4.3092363e-1  5.688e-5
138  5000  5000   0.18   0.18   0.27448   0.27448 3.5353543e-1 3.5353285e-1 -7.284e-6
139  5000  5000   0.25   0.25   0.19763   0.19763 2.6663496e-1 2.6661658e-1 -6.894e-5
140  5000  5000    0.4    0.4   0.12352   0.12352 1.2610826e-1 1.2609318e-1 -1.196e-4
141  5000  5000   0.65   0.65  0.076011  0.076011 1.6440344e-2 1.6437607e-2 -1.665e-4
142  8000  8000 0.0875 0.0875   0.90344   0.90344 6.0328574e-1 6.0329545e-1  1.611e-5
143  8000  8000   0.13   0.13   0.60809   0.60809 5.0111483e-1 5.0110331e-1 -2.300e-5
144  8000  8000   0.18   0.18   0.43917   0.43917 4.0243745e-1 4.0239446e-1 -1.068e-4
145  8000  8000   0.25   0.25   0.31621   0.31621 2.9501052e-1 2.9495174e-1 -1.992e-4
146  8000  8000    0.4    0.4   0.19763   0.19763 1.3353184e-1 1.3349434e-1 -2.808e-4
147  8000  8000   0.65   0.65   0.12162   0.12162 1.6513587e-2 1.6508520e-2 -3.069e-4
148 12000 12000   0.13   0.13   0.91213   0.91213 5.7766985e-1 5.7759475e-1 -1.300e-4
149 12000 12000   0.18   0.18   0.65876   0.65876 4.7099736e-1 4.7088760e-1 -2.330e-4
150 12000 12000   0.25   0.25   0.47431   0.47431 3.3766909e-1 3.3754375e-1 -3.712e-4
151 12000 12000    0.4    0.4   0.29644   0.29644 1.4559989e-1 1.4552601e-1 -5.075e-4
152 12000 12000   0.65   0.65   0.18243   0.18243 1.7011056e-2 1.7002012e-2 -5.317e-4
153 20000 20000   0.25   0.25   0.79051   0.79051 4.1550426e-1 4.1523009e-1 -6.599e-4
154 20000 20000    0.4    0.4   0.49407   0.49407 1.7156442e-1 1.7140384e-1 -9.359e-4
155 20000 20000   0.65   0.65   0.30404   0.30404 1.8372179e-2 1.8353664e-2 -1.008e-3
156 30000 30000    0.4    0.4   0.74111   0.74111 2.0046375e-1 2.0019420e-1 -1.345e-3
157 30000 30000   0.65   0.65   0.45607   0.45607 2.0251235e-2 2.0219519e-2 -1.566e-3
158 50000 50000   0.65   0.65   0.76011   0.76011 2.3535306e-2 2.3479050e-2 -2.390e-3

@scarlehoff

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But this fktable is with this branch, right?

@Radonirinaunimi

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Then the fktables in 4.1 were always correct? But they did not agree, did they?

That'd be my conclusion yes. And the difference of about 2% that we saw between 4.0 and 4.1 are due to quark masses+CKM+(small) Evolution settings.

@Radonirinaunimi

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But this fktable is with this branch, right?

No, everything with master (inc. yadism).

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