Report of the fit

Fit summary

Description: Fit with the MAP22 parametrisation.
Minimiser: ceres
Random seed: 1234
Maximum values allowed for q_T / Q: 0.2
Parameterisation: MAP22g52
Initial parameters fluctuations: True
Explicit formula:

f_{\rm NP}(x,\zeta, b_T)= \exp(S_{\rm NP}(\zeta, b_T))\frac{g_1(x) \exp( - g_1(x) \frac{b_T^2}{4}) + \lambda^2 g_{1B}^2(x) ( 1 - g_{1B}(x) \frac{b_T^2}{4}) \exp( - g_{1B}(x) \frac{b_T^2}{4}) + \lambda_2^2 g_{1C}(x) exp( - g_{1C}(x) \frac{b_T^2}{4}) }{ g_1(x) + \lambda g_{1B}^2(x) + \lambda_2^2 g_{1C}(x) }S_{\rm NP} = \exp\left[ - g_2^2 \frac{b_T^2}{4} \log \big (\frac{\zeta}{Q_0^2}\big ) \right]g_{1,1B,1C}(x) = N_{1,1B,1C} \frac{x^{\sigma_{1,2,3}}(1-x)^{\alpha^2_{1,2,3}}}{\hat{x}^{\sigma_{1,2,3}}(1-\hat{x})^{\alpha^2_{1,2,3}}}Q_0^2 = 1\;{\rm GeV}^2\hat{x} = 0.1

t_0 prescription: False

Global statistical estimators

N_{\rm rep} = 250
\chi_{0}^2 = 1.2838
\langle\chi^2\rangle \pm \sigma_{\chi^2} = 1.3043 \pm 0.0122

Parameters

Parameter Central replica Average over replicas
g_2 0.20445475 0.20854939 \pm 0.00990659
N_1 0.41723114 0.45068526 \pm 0.14228315
\alpha_1 1.9812219 2.04605122 \pm 0.3228551
\sigma_1 1.0893332 1.14681553 \pm 0.4930889
\lambda 1157.0146 3220.68475149 \pm 4423.28679817
N_{1B} 0.015288458 0.01191829 \pm 0.03633701
\lambda_2 0.020369101 0.01791931 \pm 0.00706415
\alpha_2 11.315561 8.75276983 \pm 4.54672713
\alpha_3 3.088822 3.29882025 \pm 0.45482344
\sigma_2 6.2834404 4.79953694 \pm 4.25581517
\sigma_3 12.189288 12.70435693 \pm 2.12942832
\beta_2 4.267465 4.26277397 \pm 0.0196373
Fitted parameter correlation matrix

Fit properties

Global \chi^2 distribution
g_2 distribution
N_1 distribution
\alpha_1 distribution
\sigma_1 distribution
\lambda distribution
N_{1B} distribution
\lambda_2 distribution
\alpha_2 distribution
\alpha_3 distribution
\sigma_2 distribution
\sigma_3 distribution
\beta_2 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 0.959 0.023 0.982
E605_Q_8_9 8 2.067 0.002 2.069
E605_Q_10.5_11.5 10 0.392 0.001 0.394
E605_Q_11.5_13.5 12 0.615 0.027 0.642
E605_Q_13.5_18 13 0.638 0.061 0.699
E772_Q_5_6 4 1.469 1.167 2.636
E772_Q_6_7 5 1.136 0.492 1.628
E772_Q_7_8 6 1.947 1.431 3.378
E772_Q_8_9 6 1.539 1.71 3.248
E772_Q_11_12 9 0.951 0.271 1.222
E772_Q_12_13 10 1.025 0.097 1.121
E772_Q_13_14 7 1.535 0.007 1.542
E772_Q_14_15 6 0.465 0.031 0.496
E288_200_Q_4_5 4 0.271 0.277 0.548
E288_200_Q_5_6 5 0.821 0.325 1.146
E288_200_Q_6_7 6 0.077 0.457 0.534
E288_200_Q_7_8 7 0.062 0.468 0.53
E288_200_Q_8_9 8 0.171 0.313 0.485
E288_300_Q_4_5 4 0.506 0.055 0.561
E288_300_Q_5_6 5 1.187 0.039 1.226
E288_300_Q_6_7 6 0.631 0.019 0.65
E288_300_Q_7_8 7 0.061 0.045 0.106
E288_300_Q_8_9 8 0.536 0.11 0.646
E288_300_Q_11_12 9 0.206 0.045 0.252
E288_400_Q_5_6 5 1.116 0.033 1.148
E288_400_Q_6_7 6 0.478 0.052 0.53
E288_400_Q_7_8 7 0.063 0.073 0.136
E288_400_Q_8_9 8 0.845 0.054 0.899
E288_400_Q_11_12 11 0.43 0.037 0.467
E288_400_Q_12_13 12 0.508 0.098 0.606
E288_400_Q_13_14 12 0.259 0.13 0.389
STAR_510 7 1.369 0.079 1.448
CDF_RunI 25 0.606 0.081 0.687
CDF_RunII 26 1.959 0.015 1.974
D0_RunI 12 0.844 0.009 0.853
D0_RunII 5 1.317 0.011 1.327
D0_RunIImu 3 0.018 0.021 0.039
LHCb_7TeV 7 1.006 0.317 1.322
LHCb_8TeV 7 0.678 0.237 0.914
LHCb_13TeV 7 1.463 0.048 1.511
CMS_7TeV 4 2.739 0.201 2.94
CMS_8TeV 4 1.475 0.298 1.773
CMS_13TeV_y_0_0.4 14 0.162 0.062 0.224
CMS_13TeV_y_0.4_0.8 14 0.111 0.056 0.167
CMS_13TeV_y_0.8_1.2 14 0.11 0.031 0.141
CMS_13TeV_y_1.2_1.6 14 0.097 0.012 0.109
CMS_13TeV_y_1.6_2.4 14 0.284 0.01 0.294
ATLAS_7TeV_y_0_1 6 9.439 0.733 10.172
ATLAS_7TeV_y_1_2 6 4.222 0.232 4.453
ATLAS_7TeV_y_2_2.4 6 1.575 0.591 2.165
ATLAS_8TeV_y_0_0.4 6 4.434 0.91 5.344
ATLAS_8TeV_y_0.4_0.8 6 6.241 0.984 7.225
ATLAS_8TeV_y_0.8_1.2 6 2.508 0.428 2.935
ATLAS_8TeV_y_1.2_1.6 6 0.918 0.441 1.359
ATLAS_8TeV_y_1.6_2 6 1.722 0.357 2.08
ATLAS_8TeV_y_2_2.4 6 0.419 0.213 0.631
ATLAS_8TeV_Q_46_66 4 1.311 0.691 2.002
ATLAS_8TeV_Q_116_150 8 0.66 0.027 0.688
ATLAS_13TeV 6 3.118 0.446 3.563
Total 482 1.085 0.199 1.284
Average-over-replicas \chi^2’s:
Experiment Number of points \chi^2
E605_Q_7_8 7 1.064 \pm 0.27
E605_Q_8_9 8 2.199 \pm 0.389
E605_Q_10.5_11.5 10 0.406 \pm 0.027
E605_Q_11.5_13.5 12 0.66 \pm 0.047
E605_Q_13.5_18 13 0.699 \pm 0.068
E772_Q_5_6 4 2.855 \pm 0.761
E772_Q_6_7 5 2.125 \pm 0.604
E772_Q_7_8 6 3.762 \pm 0.46
E772_Q_8_9 6 3.585 \pm 0.479
E772_Q_11_12 9 1.255 \pm 0.116
E772_Q_12_13 10 1.14 \pm 0.039
E772_Q_13_14 7 1.559 \pm 0.216
E772_Q_14_15 6 0.494 \pm 0.058
E288_200_Q_4_5 4 0.513 \pm 0.142
E288_200_Q_5_6 5 1.062 \pm 0.16
E288_200_Q_6_7 6 0.532 \pm 0.089
E288_200_Q_7_8 7 0.497 \pm 0.147
E288_200_Q_8_9 8 0.493 \pm 0.109
E288_300_Q_4_5 4 0.537 \pm 0.102
E288_300_Q_5_6 5 1.146 \pm 0.156
E288_300_Q_6_7 6 0.599 \pm 0.121
E288_300_Q_7_8 7 0.111 \pm 0.028
E288_300_Q_8_9 8 0.673 \pm 0.081
E288_300_Q_11_12 9 0.281 \pm 0.041
E288_400_Q_5_6 5 1.063 \pm 0.251
E288_400_Q_6_7 6 0.517 \pm 0.187
E288_400_Q_7_8 7 0.17 \pm 0.054
E288_400_Q_8_9 8 0.906 \pm 0.127
E288_400_Q_11_12 11 0.509 \pm 0.102
E288_400_Q_12_13 12 0.637 \pm 0.073
E288_400_Q_13_14 12 0.416 \pm 0.059
STAR_510 7 1.391 \pm 0.073
CDF_RunI 25 0.701 \pm 0.027
CDF_RunII 26 2.031 \pm 0.165
D0_RunI 12 0.867 \pm 0.033
D0_RunII 5 1.457 \pm 0.217
D0_RunIImu 3 0.052 \pm 0.018
LHCb_7TeV 7 1.378 \pm 0.088
LHCb_8TeV 7 0.933 \pm 0.119
LHCb_13TeV 7 1.473 \pm 0.06
CMS_7TeV 4 2.936 \pm 0.01
CMS_8TeV 4 1.76 \pm 0.032
CMS_13TeV_y_0_0.4 14 0.228 \pm 0.005
CMS_13TeV_y_0.4_0.8 14 0.169 \pm 0.004
CMS_13TeV_y_0.8_1.2 14 0.146 \pm 0.016
CMS_13TeV_y_1.2_1.6 14 0.103 \pm 0.01
CMS_13TeV_y_1.6_2.4 14 0.279 \pm 0.024
ATLAS_7TeV_y_0_1 6 10.099 \pm 0.351
ATLAS_7TeV_y_1_2 6 4.377 \pm 0.17
ATLAS_7TeV_y_2_2.4 6 1.99 \pm 0.202
ATLAS_8TeV_y_0_0.4 6 5.487 \pm 0.284
ATLAS_8TeV_y_0.4_0.8 6 7.222 \pm 0.188
ATLAS_8TeV_y_0.8_1.2 6 2.81 \pm 0.146
ATLAS_8TeV_y_1.2_1.6 6 1.329 \pm 0.081
ATLAS_8TeV_y_1.6_2 6 2.077 \pm 0.148
ATLAS_8TeV_y_2_2.4 6 0.598 \pm 0.044
ATLAS_8TeV_Q_46_66 4 1.962 \pm 0.113
ATLAS_8TeV_Q_116_150 8 0.689 \pm 0.004
ATLAS_13TeV 6 3.535 \pm 0.18
Total 482 1.304 \pm 0.012

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