Report of the fit

Fit summary

Description: NNAD parameterisation test
Minimiser: ceres
Random seed: 1
Maximum values allowed for q_T / Q: 0.2
Parameterisation: NNADParam_xb_10_sigma_rat
Initial parameters fluctuations: True
Explicit formula:

f_{\rm NP}(x, b_T, \zeta) = \frac{{\rm NN}(x, b_T,\{p_i\})}{{\rm NN}(x, 0,\{p_i\})} \exp\left[ - g_2^2 b_T^2 \log \Bigg(\frac{\zeta}{Q_0^2}\Bigg) \right]

t_0 prescription: False

Global statistical estimators

N_{\rm rep} = 250
\chi_{0}^2 = 0.9666
\langle\chi^2\rangle \pm \sigma_{\chi^2} = 0.9328 \pm 0.0677

Parameters

Parameter Central replica Average over replicas
g_2 0.19179355 0.19008323 \pm 0.07111054
p_{0} -670.08852 42.85554444 \pm 1059.61053683
p_{1} 35.296592 -111.28416125 \pm 1418.80398968
p_{2} -68.63991 8.89200941 \pm 2688.49301484
p_{3} -905.11986 -34.99292978 \pm 1648.19710547
p_{4} 1567.5278 44.4696073 \pm 1298.18200162
p_{5} 0.10043769 -41.08947776 \pm 1118.70351024
p_{6} -192.85318 99.86767992 \pm 1380.62720636
p_{7} 4.5630083 -21.02747203 \pm 2196.96379487
p_{8} -277.72024 -12.67230426 \pm 631.87014702
p_{9} 241.43358 -101.53140127 \pm 2214.10873554
p_{10} 20.002978 0.0175983 \pm 129.92814088
p_{11} -220.18698 -14.10785571 \pm 245.79148609
p_{12} 1.9012559 -31.48515167 \pm 559.70748032
p_{13} -7.9990866 -14.05765198 \pm 140.30743893
p_{14} 4.8494964 15.69739988 \pm 271.88764317
p_{15} -0.89377742 -10.12095866 \pm 153.39740396
p_{16} 0.95764004 4.20241111 \pm 51.67053129
p_{17} -1.9515193 -0.49242115 \pm 35.22860126
p_{18} 18.901741 10.33977038 \pm 102.94734041
p_{19} 20.426205 -0.37125503 \pm 52.73502547
p_{20} 16.798169 24.82166409 \pm 437.90269685
p_{21} -65.225699 38.79402245 \pm 386.50286638
p_{22} 0.59224396 70.6429344 \pm 751.71956527
p_{23} -3.9419515 -5.2492487 \pm 128.90987791
p_{24} -174.34462 -1.2291907 \pm 116.10363915
p_{25} -3.3383286 -8.81579564 \pm 99.65004054
p_{26} 3.2101906 3.27836511 \pm 229.04617796
p_{27} 0.77506222 -7.7486988 \pm 78.22161039
p_{28} 52.541589 -2.15378719 \pm 97.99513497
p_{29} -42.582559 23.94723897 \pm 417.35435056
p_{30} 0.33963615 0.54842383 \pm 16.79525636
p_{31} 22.357691 1.00114417 \pm 20.62688068
p_{32} 0.83815973 1.55434716 \pm 42.01407362
p_{33} -10.878692 0.1429177 \pm 25.13556843
p_{34} 19.31126 -0.50789898 \pm 14.82685009
p_{35} 10.04159 -0.66675981 \pm 13.59006907
p_{36} 3.0394697 8.72136969 \pm 97.18710105
p_{37} -1.2589093 -7.70666697 \pm 115.09368512
p_{38} -4.1881612 -0.91561425 \pm 24.77873993
p_{39} 1.631553 -0.08092169 \pm 9.89262986
p_{40} 15.691632 0.17261342 \pm 7.87884543
Fitted parameter correlation matrix

Fit properties

Global \chi^2 distribution
g_2 distribution
p_{0} distribution
p_{1} distribution
p_{2} distribution
p_{3} distribution
p_{4} distribution
p_{5} distribution
p_{6} distribution
p_{7} distribution
p_{8} distribution
p_{9} distribution
p_{10} distribution
p_{11} distribution
p_{12} distribution
p_{13} distribution
p_{14} distribution
p_{15} distribution
p_{16} distribution
p_{17} distribution
p_{18} distribution
p_{19} distribution
p_{20} distribution
p_{21} distribution
p_{22} distribution
p_{23} distribution
p_{24} distribution
p_{25} distribution
p_{26} distribution
p_{27} distribution
p_{28} distribution
p_{29} distribution
p_{30} distribution
p_{31} distribution
p_{32} distribution
p_{33} distribution
p_{34} distribution
p_{35} distribution
p_{36} distribution
p_{37} distribution
p_{38} distribution
p_{39} distribution
p_{40} distribution

Table of \chi^2’s

Central-replica \chi^2’s:
Experiment Number of points \chi_{D}^2 \chi_{\lambda}^2 \chi^2
E605_Q_7_8 7 1.292 0.009 1.302
E605_Q_8_9 8 2.672 0.01 2.682
E605_Q_10.5_11.5 10 0.508 0.035 0.543
E605_Q_11.5_13.5 12 1.713 0.129 1.842
E605_Q_13.5_18 13 1.755 0.125 1.88
E772_Q_5_6 4 0.781 0.437 1.218
E772_Q_6_7 5 0.863 0.0 0.863
E772_Q_7_8 6 0.976 0.31 1.285
E772_Q_8_9 6 1.203 1.098 2.301
E772_Q_11_12 9 1.019 0.291 1.311
E772_Q_12_13 10 1.411 0.06 1.471
E772_Q_13_14 7 2.657 0.033 2.69
E772_Q_14_15 6 0.298 0.015 0.313
E288_200_Q_4_5 4 0.072 0.0 0.072
E288_200_Q_5_6 5 0.594 0.082 0.676
E288_200_Q_6_7 6 0.095 0.235 0.33
E288_200_Q_7_8 7 0.361 0.093 0.454
E288_200_Q_8_9 8 0.695 0.004 0.699
E288_300_Q_4_5 4 0.712 0.016 0.728
E288_300_Q_5_6 5 0.596 0.002 0.598
E288_300_Q_6_7 6 0.17 0.046 0.216
E288_300_Q_7_8 7 0.062 0.044 0.106
E288_300_Q_8_9 8 0.489 0.041 0.53
E288_300_Q_11_12 9 0.531 0.039 0.57
E288_400_Q_5_6 5 1.126 0.016 1.143
E288_400_Q_6_7 6 0.521 0.003 0.524
E288_400_Q_7_8 7 0.118 0.024 0.141
E288_400_Q_8_9 8 0.889 0.065 0.954
E288_400_Q_11_12 11 0.671 0.017 0.688
E288_400_Q_12_13 12 1.37 0.025 1.395
E288_400_Q_13_14 12 1.328 0.077 1.405
STAR_510 7 1.033 0.073 1.106
CDF_RunI 25 0.431 0.1 0.531
CDF_RunII 26 0.862 0.041 0.903
D0_RunI 12 0.699 0.031 0.731
D0_RunII 5 2.014 0.048 2.062
D0_RunIImu 3 0.14 0.112 0.252
LHCb_7TeV 7 0.933 0.241 1.174
LHCb_8TeV 7 0.621 0.024 0.645
LHCb_13TeV 7 1.078 0.032 1.11
CMS_7TeV 4 1.657 0.048 1.705
CMS_8TeV 4 0.966 0.126 1.092
CMS_13TeV_y_0_0.4 14 0.173 0.017 0.19
CMS_13TeV_y_0.4_0.8 14 0.117 0.007 0.124
CMS_13TeV_y_0.8_1.2 14 0.305 0.001 0.306
CMS_13TeV_y_1.2_1.6 14 0.247 0.006 0.253
CMS_13TeV_y_1.6_2.4 14 0.499 0.034 0.533
ATLAS_7TeV_y_0_1 6 1.301 0.08 1.382
ATLAS_7TeV_y_1_2 6 2.253 0.368 2.621
ATLAS_7TeV_y_2_2.4 6 2.611 1.016 3.627
ATLAS_8TeV_y_0_0.4 6 1.292 0.073 1.365
ATLAS_8TeV_y_0.4_0.8 6 1.431 0.115 1.546
ATLAS_8TeV_y_0.8_1.2 6 0.354 0.06 0.414
ATLAS_8TeV_y_1.2_1.6 6 0.437 0.29 0.727
ATLAS_8TeV_y_1.6_2 6 0.304 0.204 0.509
ATLAS_8TeV_y_2_2.4 6 0.474 0.031 0.505
ATLAS_8TeV_Q_46_66 4 1.643 1.934 3.577
ATLAS_8TeV_Q_116_150 8 0.737 0.002 0.738
ATLAS_13TeV 6 0.5 0.003 0.503
Total 482 0.856 0.111 0.967
Average-over-replicas \chi^2’s:
Experiment Number of points \chi^2
E605_Q_7_8 7 1.044 \pm 0.294
E605_Q_8_9 8 1.963 \pm 0.494
E605_Q_10.5_11.5 10 0.496 \pm 0.125
E605_Q_11.5_13.5 12 0.783 \pm 0.298
E605_Q_13.5_18 13 1.25 \pm 0.346
E772_Q_5_6 4 2.003 \pm 1.072
E772_Q_6_7 5 1.667 \pm 0.851
E772_Q_7_8 6 2.959 \pm 1.004
E772_Q_8_9 6 2.943 \pm 0.859
E772_Q_11_12 9 1.139 \pm 0.106
E772_Q_12_13 10 1.186 \pm 0.144
E772_Q_13_14 7 2.507 \pm 0.306
E772_Q_14_15 6 0.319 \pm 0.036
E288_200_Q_4_5 4 0.164 \pm 0.138
E288_200_Q_5_6 5 0.823 \pm 0.26
E288_200_Q_6_7 6 0.271 \pm 0.099
E288_200_Q_7_8 7 0.304 \pm 0.169
E288_200_Q_8_9 8 0.654 \pm 0.27
E288_300_Q_4_5 4 0.674 \pm 0.348
E288_300_Q_5_6 5 0.696 \pm 0.147
E288_300_Q_6_7 6 0.298 \pm 0.18
E288_300_Q_7_8 7 0.103 \pm 0.051
E288_300_Q_8_9 8 0.781 \pm 0.208
E288_300_Q_11_12 9 0.758 \pm 0.213
E288_400_Q_5_6 5 0.782 \pm 0.326
E288_400_Q_6_7 6 0.372 \pm 0.256
E288_400_Q_7_8 7 0.245 \pm 0.316
E288_400_Q_8_9 8 1.143 \pm 0.452
E288_400_Q_11_12 11 1.063 \pm 0.415
E288_400_Q_12_13 12 0.915 \pm 0.292
E288_400_Q_13_14 12 0.97 \pm 0.358
STAR_510 7 0.926 \pm 0.205
CDF_RunI 25 0.548 \pm 0.063
CDF_RunII 26 0.91 \pm 0.249
D0_RunI 12 0.685 \pm 0.094
D0_RunII 5 1.831 \pm 0.774
D0_RunIImu 3 0.62 \pm 0.779
LHCb_7TeV 7 1.377 \pm 0.291
LHCb_8TeV 7 0.977 \pm 0.522
LHCb_13TeV 7 1.172 \pm 0.463
CMS_7TeV 4 1.628 \pm 0.146
CMS_8TeV 4 1.056 \pm 0.09
CMS_13TeV_y_0_0.4 14 0.201 \pm 0.115
CMS_13TeV_y_0.4_0.8 14 0.17 \pm 0.072
CMS_13TeV_y_0.8_1.2 14 0.286 \pm 0.084
CMS_13TeV_y_1.2_1.6 14 0.231 \pm 0.065
CMS_13TeV_y_1.6_2.4 14 0.597 \pm 0.093
ATLAS_7TeV_y_0_1 6 2.143 \pm 0.998
ATLAS_7TeV_y_1_2 6 2.132 \pm 0.8
ATLAS_7TeV_y_2_2.4 6 2.002 \pm 1.076
ATLAS_8TeV_y_0_0.4 6 1.525 \pm 0.91
ATLAS_8TeV_y_0.4_0.8 6 1.097 \pm 0.541
ATLAS_8TeV_y_0.8_1.2 6 0.623 \pm 0.453
ATLAS_8TeV_y_1.2_1.6 6 0.912 \pm 0.447
ATLAS_8TeV_y_1.6_2 6 1.191 \pm 0.998
ATLAS_8TeV_y_2_2.4 6 0.56 \pm 0.427
ATLAS_8TeV_Q_46_66 4 3.509 \pm 0.721
ATLAS_8TeV_Q_116_150 8 0.74 \pm 0.179
ATLAS_13TeV 6 0.578 \pm 0.333
Total 482 0.933 \pm 0.068

TMDs in k_T space

TMD PDF of the u at Q = 2 GeV and x = 0.001
TMD PDF of the u at Q = 2 GeV and x = 0.01
TMD PDF of the u at Q = 2 GeV and x = 0.1
TMD PDF of the u at Q = 10 GeV and x = 0.001
TMD PDF of the u at Q = 10 GeV and x = 0.01
TMD PDF of the u at Q = 10 GeV and x = 0.1

Data-theory comparison

E605_Q_7_8 data-theory comparison
E605_Q_8_9 data-theory comparison
E605_Q_10.5_11.5 data-theory comparison
E605_Q_11.5_13.5 data-theory comparison
E605_Q_13.5_18 data-theory comparison
E772_Q_5_6 data-theory comparison
E772_Q_6_7 data-theory comparison
E772_Q_7_8 data-theory comparison
E772_Q_8_9 data-theory comparison
E772_Q_11_12 data-theory comparison
E772_Q_12_13 data-theory comparison
E772_Q_13_14 data-theory comparison
E772_Q_14_15 data-theory comparison
E288_200_Q_4_5 data-theory comparison
E288_200_Q_5_6 data-theory comparison
E288_200_Q_6_7 data-theory comparison
E288_200_Q_7_8 data-theory comparison
E288_200_Q_8_9 data-theory comparison
E288_300_Q_4_5 data-theory comparison
E288_300_Q_5_6 data-theory comparison
E288_300_Q_6_7 data-theory comparison
E288_300_Q_7_8 data-theory comparison
E288_300_Q_8_9 data-theory comparison
E288_300_Q_11_12 data-theory comparison
E288_400_Q_5_6 data-theory comparison
E288_400_Q_6_7 data-theory comparison
E288_400_Q_7_8 data-theory comparison
E288_400_Q_8_9 data-theory comparison
E288_400_Q_11_12 data-theory comparison
E288_400_Q_12_13 data-theory comparison
E288_400_Q_13_14 data-theory comparison
STAR_510 data-theory comparison
CDF_RunI data-theory comparison
CDF_RunII data-theory comparison
D0_RunI data-theory comparison
D0_RunII data-theory comparison
D0_RunIImu data-theory comparison
LHCb_7TeV data-theory comparison
LHCb_8TeV data-theory comparison
LHCb_13TeV data-theory comparison
CMS_7TeV data-theory comparison
CMS_8TeV data-theory comparison
CMS_13TeV_y_0_0.4 data-theory comparison
CMS_13TeV_y_0.4_0.8 data-theory comparison
CMS_13TeV_y_0.8_1.2 data-theory comparison
CMS_13TeV_y_1.2_1.6 data-theory comparison
CMS_13TeV_y_1.6_2.4 data-theory comparison
ATLAS_7TeV_y_0_1 data-theory comparison
ATLAS_7TeV_y_1_2 data-theory comparison
ATLAS_7TeV_y_2_2.4 data-theory comparison
ATLAS_8TeV_y_0_0.4 data-theory comparison
ATLAS_8TeV_y_0.4_0.8 data-theory comparison
ATLAS_8TeV_y_0.8_1.2 data-theory comparison
ATLAS_8TeV_y_1.2_1.6 data-theory comparison
ATLAS_8TeV_y_1.6_2 data-theory comparison
ATLAS_8TeV_y_2_2.4 data-theory comparison
ATLAS_8TeV_Q_46_66 data-theory comparison
ATLAS_8TeV_Q_116_150 data-theory comparison
ATLAS_13TeV data-theory comparison