Summary

We are comparing:

  • NNPDF4.0 (pert. charm) (210719-theory-003): NNPDF4.0 NNLO global pert. charm fit, alphas=0.118
  • NNPDF4.0 (fitted charm) (210713-n3fit-001): NNPDF4.0 NNLO global baseline fit, alphas=0.118
NNPDF4.0 (pert. charm) NNPDF4.0 (fitted charm)
χ2 1.19807 1.16173
 < Etrn> 2.312±0.064 2.263±0.065
 < Eval> 2.43±0.12 2.36±0.10
 < TL> 11500±2500 13500±2300
 < χ2> 1.222±0.024 1.188±0.016
ϕ 0.1555±0.0076 0.1608±0.0050

Theory covariance summary

NNPDF4.0 (pert. charm) NNPDF4.0 (fitted charm)
sampling False False
fitting False False
validphys statistical estimators False False

Dataset properties

Training fraction Weight C-factors Other fields
Dataset
NMCPD_dw_ite 0.75 1 - custom_group: unset
NMC 0.75 1 - custom_group: unset
SLACP_dwsh 0.75 1 - custom_group: unset
SLACD_dw_ite 0.75 1 - custom_group: unset
BCDMSP_dwsh 0.75 1 - custom_group: unset
BCDMSD_dw_ite 0.75 1 - custom_group: unset
CHORUSNUPb_dw_ite 0.75 1 - custom_group: unset
CHORUSNBPb_dw_ite 0.75 1 - custom_group: unset
NTVNUDMNFe_dw_ite 0.75 1 MAS custom_group: unset
NTVNBDMNFe_dw_ite 0.75 1 MAS custom_group: unset
HERACOMBNCEM 0.75 1 - custom_group: unset
HERACOMBNCEP460 0.75 1 - custom_group: unset
HERACOMBNCEP575 0.75 1 - custom_group: unset
HERACOMBNCEP820 0.75 1 - custom_group: unset
HERACOMBNCEP920 0.75 1 - custom_group: unset
HERACOMBCCEM 0.75 1 - custom_group: unset
HERACOMBCCEP 0.75 1 - custom_group: unset
HERACOMB_SIGMARED_C 0.75 1 - custom_group: unset
HERACOMB_SIGMARED_B 0.75 1 - custom_group: unset
DYE886R_dw_ite 0.75 1 QCD custom_group: unset
DYE886P 0.75 1 QCD custom_group: unset
DYE605_dw_ite 0.75 1 QCD custom_group: unset
DYE906R_dw_ite 0.75 1 ACC, QCD custom_group: unset
CDFZRAP_NEW 0.75 1 QCD custom_group: unset
D0ZRAP_40 0.75 1 QCD custom_group: unset
D0WMASY 0.75 1 QCD custom_group: unset
ATLASWZRAP36PB 0.75 1 QCD custom_group: unset
ATLASZHIGHMASS49FB 0.75 1 QCD custom_group: unset
ATLASLOMASSDY11EXT 0.75 1 QCD custom_group: unset
ATLASWZRAP11CC 0.75 1 QCD custom_group: unset
ATLASWZRAP11CF 0.75 1 QCD custom_group: unset
ATLASDY2D8TEV 0.75 1 QCDEWK custom_group: unset
ATLAS_DY_2D_8TEV_LOWMASS 0.75 1 QCD custom_group: unset
ATLAS_WZ_TOT_13TEV 0.75 1 NRM, QCD custom_group: unset
ATLAS_WP_JET_8TEV_PT 0.75 1 QCD custom_group: unset
ATLAS_WM_JET_8TEV_PT 0.75 1 QCD custom_group: unset
ATLASZPT8TEVMDIST 0.75 1 QCD sys: 10, custom_group: unset
ATLASZPT8TEVYDIST 0.75 1 QCD sys: 10, custom_group: unset
ATLASTTBARTOT7TEV 0.75 1 QCD custom_group: unset
ATLASTTBARTOT8TEV 0.75 1 QCD custom_group: unset
ATLAS_TTBARTOT_13TEV_FULLLUMI 0.75 1 QCD custom_group: unset
ATLAS_TTB_DIFF_8TEV_LJ_TRAPNORM 0.75 1 QCD custom_group: unset
ATLAS_TTB_DIFF_8TEV_LJ_TTRAPNORM 0.75 1 QCD custom_group: unset
ATLAS_TOPDIFF_DILEPT_8TEV_TTRAPNORM 0.75 1 QCD custom_group: unset
ATLAS_1JET_8TEV_R06_DEC 0.75 1 QCD custom_group: unset
ATLAS_2JET_7TEV_R06 0.75 1 QCD custom_group: unset
ATLASPHT15_SF 0.75 1 QCD, EWK custom_group: unset
ATLAS_SINGLETOP_TCH_R_7TEV 0.75 1 QCD custom_group: unset
ATLAS_SINGLETOP_TCH_R_13TEV 0.75 1 QCD custom_group: unset
ATLAS_SINGLETOP_TCH_DIFF_7TEV_T_RAP_NORM 0.75 1 QCD custom_group: unset
ATLAS_SINGLETOP_TCH_DIFF_7TEV_TBAR_RAP_NORM 0.75 1 QCD custom_group: unset
ATLAS_SINGLETOP_TCH_DIFF_8TEV_T_RAP_NORM 0.75 1 QCD custom_group: unset
ATLAS_SINGLETOP_TCH_DIFF_8TEV_TBAR_RAP_NORM 0.75 1 QCD custom_group: unset
CMSWEASY840PB 0.75 1 QCD custom_group: unset
CMSWMASY47FB 0.75 1 QCD custom_group: unset
CMSDY2D11 0.75 1 QCD custom_group: unset
CMSWMU8TEV 0.75 1 QCD custom_group: unset
CMSZDIFF12 0.75 1 QCD, NRM sys: 10, custom_group: unset
CMS_2JET_7TEV 0.75 1 QCD custom_group: unset
CMS_1JET_8TEV 0.75 1 QCD custom_group: unset
CMSTTBARTOT7TEV 0.75 1 QCD custom_group: unset
CMSTTBARTOT8TEV 0.75 1 QCD custom_group: unset
CMSTTBARTOT13TEV 0.75 1 QCD custom_group: unset
CMSTOPDIFF8TEVTTRAPNORM 0.75 1 QCD custom_group: unset
CMSTTBARTOT5TEV 0.75 1 QCD custom_group: unset
CMS_TTBAR_2D_DIFF_MTT_TRAP_NORM 0.75 1 QCD custom_group: unset
CMS_TTB_DIFF_13TEV_2016_2L_TRAP 0.75 1 QCD custom_group: unset
CMS_TTB_DIFF_13TEV_2016_LJ_TRAP 0.75 1 QCD custom_group: unset
CMS_SINGLETOP_TCH_TOT_7TEV 0.75 1 QCD custom_group: unset
CMS_SINGLETOP_TCH_R_8TEV 0.75 1 QCD custom_group: unset
CMS_SINGLETOP_TCH_R_13TEV 0.75 1 QCD custom_group: unset
LHCBZ940PB 0.75 1 QCD custom_group: unset
LHCBZEE2FB_40 0.75 1 QCD custom_group: unset
LHCBWZMU7TEV 0.75 1 NRM, QCD custom_group: unset
LHCBWZMU8TEV 0.75 1 NRM, QCD custom_group: unset
LHCB_Z_13TEV_DIMUON 0.75 1 QCD custom_group: unset
LHCB_Z_13TEV_DIELECTRON 0.75 1 QCD custom_group: unset

Distances

Q = 1.65 GeV

Flavour basis, Log

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Flavour basis, Linear

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Evolution basis, Log

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Evolution basis, Linear

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Q = 100 GeV

Flavour basis, Log

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Flavour basis, Linear

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Evolution basis, Log

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Evolution basis, Linear

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PDF arc-lengths

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Sum rules

NNPDF4.0 (pert. charm)

Known sum rules

mean std min max
momentum 1.000 7.876E-6 1.000 1.000
uvalence 2.000 1.527E-4 1.999 2.000
dvalence 0.9999 1.510E-4 0.9993 1.000
svalence 1.312E-4 1.847E-4 -2.446E-4 1.101E-3

Unknown sum rules

mean std
u momentum fraction 0.3323 0.0021
ubar momentum fraction 0.0302 0.0010
d momentum fraction 0.1588 0.0020
dbar momentum fraction 0.0401 0.0015
s momentum fraction 0.0287 0.0026
sbar momentum fraction 0.0194 0.0012
cp momentum fraction 3.389E-3 5.0E-5
g momentum fraction 0.3873 0.0038
T3 0.80 0.31
T8 4.13 0.61

NNPDF4.0 (fitted charm)

Known sum rules

mean std min max
momentum 1.000 7.467E-7 1.000 1.000
uvalence 2.000 3.759E-6 2.000 2.000
dvalence 1.000 3.143E-6 1.000 1.000
svalence 2.162E-6 4.643E-6 -3.053E-5 2.360E-5

Unknown sum rules

mean std
u momentum fraction 0.3283 0.0028
ubar momentum fraction 0.0309 0.0010
d momentum fraction 0.1564 0.0028
dbar momentum fraction 0.0418 0.0016
s momentum fraction 0.0278 0.0030
sbar momentum fraction 0.0192 0.0016
cp momentum fraction 0.0088 0.0022
g momentum fraction 0.3868 0.0035
T3 0.83 0.27
T8 4.64 0.57

PDF plots

Plots at Q = 1.65 GeV

Plots at Q = 100 GeV

Luminosities

Plots at 13 TeV

Effective exponents

Detailed information

Training lengths

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Training-validation

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χ2 by nnpdf31_process

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χ2 by experiment

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χ2 by dataset

Plot

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Table

NNPDF4.0 (pert. charm) NNPDF4.0 (fitted charm)
ndata χ2/ndata ndata χ2/ndata
DEUTERON Total 790 1.181 790 1.161
NMCPD_dw_ite 121 0.8687 121 0.8699
SLACP_dwsh 33 0.8084 33 0.9476
SLACD_dw_ite 34 0.5564 34 0.6287
BCDMSP_dwsh 333 1.457 333 1.410
BCDMSD_dw_ite 248 1.034 248 1.013
DYE886R_dw_ite 15 0.6180 15 0.4947
DYE906R_dw_ite 6 0.8723 6 0.9338
NMC Total 204 1.729 204 1.559
NMC 204 1.729 204 1.559
NUCLEAR Total 993 0.8169 993 0.8225
CHORUSNUPb_dw_ite 416 0.9608 416 0.9571
CHORUSNBPb_dw_ite 416 0.8566 416 0.8683
NTVNUDMNFe_dw_ite 39 0.2292 39 0.3497
NTVNBDMNFe_dw_ite 37 0.7714 37 0.5644
DYE605_dw_ite 85 0.4364 85 0.4580
HERACOMB Total 1218 1.264 1208 1.203
HERACOMBNCEM 159 1.371 159 1.402
HERACOMBNCEP460 204 1.108 204 1.076
HERACOMBNCEP575 254 0.9631 254 0.9034
HERACOMBNCEP820 70 1.152 70 1.088
HERACOMBNCEP920 377 1.452 377 1.294
HERACOMBCCEM 42 1.192 42 1.248
HERACOMBCCEP 39 1.171 39 1.235
HERACOMB_SIGMARED_C 47 1.849 37 2.027
HERACOMB_SIGMARED_B 26 1.553 26 1.428
DYE886 Total 89 1.572 89 1.597
DYE886P 89 1.572 89 1.597
CDF Total 28 1.309 28 1.275
CDFZRAP_NEW 28 1.309 28 1.275
D0 Total 37 0.9250 37 0.9516
D0ZRAP_40 28 0.6460 28 0.6445
D0WMASY 9 1.793 9 1.907
ATLAS Total 679 1.274 679 1.243
ATLASWZRAP36PB 30 1.037 30 0.9839
ATLASZHIGHMASS49FB 5 1.827 5 1.683
ATLASLOMASSDY11EXT 6 0.8056 6 0.8794
ATLASWZRAP11CC 46 2.290 46 1.885
ATLASWZRAP11CF 15 1.078 15 1.037
ATLASDY2D8TEV 48 1.088 48 1.112
ATLAS_DY_2D_8TEV_LOWMASS 60 1.221 60 1.218
ATLAS_WZ_TOT_13TEV 3 1.097 3 0.8076
ATLAS_WP_JET_8TEV_PT 15 0.8042 15 0.7909
ATLAS_WM_JET_8TEV_PT 15 1.507 15 1.488
ATLASZPT8TEVMDIST 44 0.8979 44 0.9054
ATLASZPT8TEVYDIST 48 0.8958 48 0.8979
ATLASTTBARTOT7TEV 1 4.125 1 4.590
ATLASTTBARTOT8TEV 1 3.947E-3 1 2.449E-2
ATLAS_TTBARTOT_13TEV_FULLLUMI 1 0.4988 1 0.5058
ATLAS_TTB_DIFF_8TEV_LJ_TRAPNORM 4 3.287 4 3.216
ATLAS_TTB_DIFF_8TEV_LJ_TTRAPNORM 4 3.348 4 3.772
ATLAS_TOPDIFF_DILEPT_8TEV_TTRAPNORM 5 1.468 5 1.611
ATLAS_1JET_8TEV_R06_DEC 171 0.6939 171 0.6968
ATLAS_2JET_7TEV_R06 90 2.140 90 2.145
ATLASPHT15_SF 53 0.7008 53 0.7699
ATLAS_SINGLETOP_TCH_R_7TEV 1 0.4701 1 0.4896
ATLAS_SINGLETOP_TCH_R_13TEV 1 6.990E-2 1 6.048E-2
ATLAS_SINGLETOP_TCH_DIFF_7TEV_T_RAP_NORM 3 0.9544 3 0.9569
ATLAS_SINGLETOP_TCH_DIFF_7TEV_TBAR_RAP_NORM 3 6.065E-2 3 6.194E-2
ATLAS_SINGLETOP_TCH_DIFF_8TEV_T_RAP_NORM 3 0.2381 3 0.2491
ATLAS_SINGLETOP_TCH_DIFF_8TEV_TBAR_RAP_NORM 3 0.2015 3 0.1887
CMS Total 474 1.348 474 1.312
CMSWEASY840PB 11 0.6970 11 0.8427
CMSWMASY47FB 11 1.722 11 1.704
CMSDY2D11 110 1.464 110 1.362
CMSWMU8TEV 22 1.338 22 1.376
CMSZDIFF12 28 1.326 28 1.405
CMS_2JET_7TEV 54 1.793 54 1.806
CMS_1JET_8TEV 185 1.256 185 1.190
CMSTTBARTOT7TEV 1 0.8073 1 1.060
CMSTTBARTOT8TEV 1 0.1615 1 0.2617
CMSTTBARTOT13TEV 1 6.131E-2 1 5.913E-2
CMSTOPDIFF8TEVTTRAPNORM 9 1.328 9 1.232
CMSTTBARTOT5TEV 1 0.4879 1 0.5447
CMS_TTBAR_2D_DIFF_MTT_TRAP_NORM 16 0.9390 16 1.032
CMS_TTB_DIFF_13TEV_2016_2L_TRAP 10 0.5412 10 0.5160
CMS_TTB_DIFF_13TEV_2016_LJ_TRAP 11 0.5805 11 0.6293
CMS_SINGLETOP_TCH_TOT_7TEV 1 0.7934 1 0.7289
CMS_SINGLETOP_TCH_R_8TEV 1 0.1705 1 0.1721
CMS_SINGLETOP_TCH_R_13TEV 1 0.3736 1 0.3544
LHCb Total 116 1.663 116 1.551
LHCBZ940PB 9 1.508 9 1.650
LHCBZEE2FB_40 17 1.821 17 1.326
LHCBWZMU7TEV 29 1.653 29 1.965
LHCBWZMU8TEV 30 1.541 30 1.423
LHCB_Z_13TEV_DIMUON 16 1.433 16 0.9896
LHCB_Z_13TEV_DIELECTRON 15 2.202 15 1.721
Total Total 4628 1.198 4618 1.162

ϕ by nnpdf31_process

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ϕ by experiment

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Dataset plots

Plots for HERACOMBCCEM

Plots for HERACOMBCCEP

Plots for HERACOMBNCEM

Plots for HERACOMBNCEP460

Plots for HERACOMBNCEP575

Plots for HERACOMBNCEP820

Plots for HERACOMBNCEP920

Plots for NMC

Plots for ATLASLOMASSDY11EXT

Plots for ATLASWZRAP36PB

Plots for ATLASZHIGHMASS49FB

Plots for ATLASZPT8TEVMDIST

Plots for ATLASZPT8TEVYDIST

Plots for CMSDY2D11

Plots for CMSWEASY840PB

Plots for CMSWMASY47FB

Plots for CMSWMU8TEV

Plots for CMSZDIFF12

Plots for D0WMASY

Plots for DYE886P

Plots for LHCBWZMU7TEV

Plots for LHCBWZMU8TEV

Plots for LHCBZ940PB

Plots for CMSTOPDIFF8TEVTTRAPNORM

Plots for ATLASDY2D8TEV

Plots for ATLASPHT15_SF

Plots for ATLASTTBARTOT7TEV

Plots for ATLASTTBARTOT8TEV

Plots for ATLASWZRAP11CC

Plots for ATLASWZRAP11CF

Plots for ATLAS_1JET_8TEV_R06_DEC

Plots for ATLAS_2JET_7TEV_R06

Plots for ATLAS_DY_2D_8TEV_LOWMASS

Plots for ATLAS_SINGLETOP_TCH_DIFF_7TEV_TBAR_RAP_NORM

Plots for ATLAS_SINGLETOP_TCH_DIFF_7TEV_T_RAP_NORM

Plots for ATLAS_SINGLETOP_TCH_DIFF_8TEV_TBAR_RAP_NORM

Plots for ATLAS_SINGLETOP_TCH_DIFF_8TEV_T_RAP_NORM

Plots for ATLAS_SINGLETOP_TCH_R_13TEV

Plots for ATLAS_SINGLETOP_TCH_R_7TEV

Plots for ATLAS_TOPDIFF_DILEPT_8TEV_TTRAPNORM

Plots for ATLAS_TTBARTOT_13TEV_FULLLUMI

Plots for ATLAS_TTB_DIFF_8TEV_LJ_TRAPNORM

Plots for ATLAS_TTB_DIFF_8TEV_LJ_TTRAPNORM

Plots for ATLAS_WM_JET_8TEV_PT

Plots for ATLAS_WP_JET_8TEV_PT

Plots for ATLAS_WZ_TOT_13TEV

Plots for BCDMSD_dw_ite

Plots for BCDMSP_dwsh

Plots for CDFZRAP_NEW

Plots for CHORUSNBPb_dw_ite

Plots for CHORUSNUPb_dw_ite

Plots for CMSTTBARTOT13TEV

Plots for CMSTTBARTOT5TEV

Plots for CMSTTBARTOT7TEV

Plots for CMSTTBARTOT8TEV

Plots for CMS_1JET_8TEV

Plots for CMS_2JET_7TEV

Plots for CMS_SINGLETOP_TCH_R_13TEV

Plots for CMS_SINGLETOP_TCH_R_8TEV

Plots for CMS_SINGLETOP_TCH_TOT_7TEV

Plots for CMS_TTBAR_2D_DIFF_MTT_TRAP_NORM

Plots for CMS_TTB_DIFF_13TEV_2016_2L_TRAP

Plots for CMS_TTB_DIFF_13TEV_2016_LJ_TRAP

Plots for D0ZRAP_40

Plots for DYE605_dw_ite

Plots for DYE886R_dw_ite

Plots for DYE906R_dw_ite

Plots for HERACOMB_SIGMARED_B

Plots for HERACOMB_SIGMARED_C

Plots for LHCBZEE2FB_40

Plots for LHCB_Z_13TEV_DIELECTRON

Plots for LHCB_Z_13TEV_DIMUON

Plots for NMCPD_dw_ite

Plots for NTVNBDMNFe_dw_ite

Plots for NTVNUDMNFe_dw_ite

Plots for SLACD_dw_ite

Plots for SLACP_dwsh

Positivity

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Dataset differences and cuts

The following datasets are included in both NNPDF4.0 (pert. charm) and NNPDF4.0 (fitted charm):

  • ATLAS W, Z 7 TeV 2010
  • NuTeV σcν
  • CMS W asymmetry 4.7 fb
  • HERA I+II inclusive CC e+p
  • ATLAS t yt
  • CHORUS σCCν
  • ATLAS W, Z inclusive 13 TeV
  • CMS t rapidity yt
  • CMS single top Rt 13 TeV
  • CMS W rapidity 8 TeV
  • CMS t absolute |yt|
  • LHCb Z 940 pb
  • CMS single top σt + σ 7 TeV
  • CMS Drell-Yan 2D 7 TeV 2011
  • ATLAS single antitop y (normalised)
  • SLAC d
  • ATLAS single top Rt 13 TeV
  • ATLAS $\sigma_{tt}^{\rm tot}$ 13 TeV Run II full lumi
  • CDF Z rapidity (new)
  • HERA comb. $\sigma_{c\bar c}^{\rm red}$
  • ATLAS W, Z 7 TeV 2011 Forward selection
  • CMS t double differential (mt, yt)
  • NuTeV σcν̄
  • DY E605 $\sigma^p_{\rm DY}$
  • CMS single top Rt 8 TeV
  • CHORUS σCCν̄
  • ATLAS dijets 7 TeV, R=0.6
  • HERA I+II inclusive CC ep
  • D0 Z rapidity
  • HERA I+II inclusive NC e+p 575 GeV
  • CMS $\sigma_{tt}^{\rm tot}$ 13 TeV
  • HERA I+II inclusive NC e+p 920 GeV
  • ATLAS Z pT 8 TeV (pTll, yll)
  • CMS jets 8 TeV
  • LHCb W, Z → μ 7 TeV
  • SLAC p
  • HERA I+II inclusive NC e+p 820 GeV
  • CMS W asymmetry 840 pb
  • HERA comb. $\sigma_{b\bar b}^{\rm red}$
  • ATLAS single top yt (normalised)
  • BCDMS d
  • ATLAS t yt
  • ATLAS $\sigma_{tt}^{\rm tot}$
  • ATLAS single top yt (normalised)
  • NMC d/p
  • ATLAS DY 2D 8 TeV low mass
  • LHCb W, Z → μ 8 TeV
  • ATLAS single antitop y (normalised)
  • BCDMS p
  • CMS $\sigma_{tt}^{\rm tot}$ 8 TeV
  • DY E886 $\sigma^p_{\rm DY}$
  • LHCb Z → ee
  • CMS $\sigma_{tt}^{\rm tot}$ 5 TeV
  • CMS t absolute yt
  • HERA I+II inclusive NC ep
  • ATLAS low-mass DY 2011
  • CMS $\sigma_{tt}^{\rm tot}$ 7 TeV
  • ATLAS HM DY 7 TeV
  • ATLAS W++jet 8 TeV
  • LHCb Z → ee 2 fb
  • HERA I+II inclusive NC e+p 460 GeV
  • ATLAS t normalised |yt|
  • ATLAS W, Z 7 TeV 2011 Central selection
  • ATLAS $\sigma_{tt}^{\rm tot}$ 8 TeV
  • CMS dijets 7 TeV
  • ATLAS direct photon production 13 TeV
  • ATLAS single top Rt 7 TeV
  • ATLAS jets 8 TeV, R=0.6
  • NMC p
  • CMS Z pT 8 TeV (pTll, yll)
  • ATLAS Z pT 8 TeV (pTll, Mll)
  • ATLAS W+jet 8 TeV
  • DYE 866 $\sigma^d_{\rm DY}/\sigma^p_{\rm DY}$
  • LHCb Z → μμ
  • D0 W → μν asymmetry
  • DYE 906 $\sigma^d_{\rm DY}/\sigma^p_{\rm DY}$
  • ATLAS DY 2D 8 TeV high mass

The following datasets are both included but have different kinematical cuts:

  • HERA comb. $\sigma_{c\bar c}^{\rm red}$:
    • NNPDF4.0 (pert. charm) includes 47 out of 52 points.
    • NNPDF4.0 (fitted charm) includes 37 out of 52 points.

Code versions

NNPDF4.0 (pert. charm) NNPDF4.0 (fitted charm)
module
numpy 1.19.2 1.19.2
tensorflow 2.3.0, mkl=False 2.3.0, mkl=False
nnpdf 4.0.3.0+g1229126 4.0.3.0+g1229126
validphys 4.0.3.0+g1229126 4.0.3.0+g1229126
keras 2.4.0 2.4.0