Report of the fit

Fit summary

Description: PV19 version x, parameters for NNLL
Minimiser: ceres
Random seed: 1234
Maximum values allowed for q_T / Q: 0.2
Percentile cut: 5
Parameterisation: PV19x
Initial parameters fluctuations: True
Explicit formula:

f_{\rm NP}(x,\zeta, b_T)= \Biggl( \frac{1-\lambda}{1 + g_1(x) b_T^2/4} + \lambda \exp \left(-g_{1B}(x) b_T^2 / 4 \right)\Biggr) \exp\left[- g_2 \log\left(\frac{\zeta}{Q_0^2}\right) b_T^2/4 - g_{2B} \log\left(\frac{\zeta}{Q_0^2}\right) b_T^4/4 \right]g_1(x) = \frac{N_1}{x\sigma} \exp\left[ - \frac{\ln^2\left(\frac{x}{\alpha}\right)}{2 \sigma^2} \right]g_{1B}(x) = \frac{N_{1B}}{x\sigma_B} \exp\left[ - \frac{\ln^2\left(\frac{x}{\alpha_B}\right)}{2 \sigma_B^2} \right]Q_0^2 = 1\;{\rm GeV}^2 t_0 prescription: True

g_2	N_1	\alpha	\sigma	\lambda	N_{1B}	\alpha_B	\sigma_B	g_{2B}
-0.05651150850119966	1.6027888644000163	0.7249039013242403	0.9073457205932122	0.3543394928378163	0.020375939002791388	0.09386203899849682	0.0274857746762149	0.019920085284356754

Theory summary

Collinear PDF set: MMHT2014nlo68cl member 0
Collinear FF set: DSS14_NLO_PiSum member 0
b^* prescription: bstarmin
Perturbative order: NNLL
Reference value of the fine-structure constant: \alpha(Q = 91.1876\;{\rm GeV}) = 0.00776578395589 (running True)

Global statistical estimators

N_{rep} = 123
\chi_{0}^2 = 1.6686
\chi_{mean}^2 = 1.6187
\langle\chi^2\rangle \pm \sigma_{\chi^2} = 1.699 \pm 0.0179
\langle E \rangle \pm \sigma_{E} = 2.7067 \pm 0.1822

Parameters

Parameter	Central replica	Average over replicas	Fixed
g_2	-0.057632624	-0.06067214 \pm 0.00991237	False
N_1	2.9759481	3.9825571 \pm 2.90529141	False
\alpha	1.1506021	1.44479698 \pm 0.82949205	False
\sigma	1.0075239	1.04188758 \pm 0.12926533	False
\lambda	0.41068867	0.38967438 \pm 0.05760985	False
N_{1B}	0.020634549	0.01698134 \pm 0.02448685	False
\alpha_B	0.093901444	0.08480947 \pm 0.01835043	False
\sigma_B	0.027372726	0.07070338 \pm 0.22613747	False
g_{2B}	0.022667287	0.0221229 \pm 0.00389806	False

Fit properties

Global $\chi^2$ distribution — Global \chi^2 distribution

$\alpha$ distribution — \alpha distribution

$\sigma$ distribution — \sigma distribution

$\lambda$ distribution — \lambda distribution

$N_{1B}$ distribution — N_{1B} distribution

$\alpha_B$ distribution — \alpha_B distribution

$\sigma_B$ distribution — \sigma_B distribution

$g_{2B}$ distribution — g_{2B} 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	0.624	0.121	0.745
E605_Q_8_9	8	1.304	0.069	1.374
E605_Q_10.5_11.5	10	0.376	0.111	0.487
E605_Q_11.5_13.5	12	0.844	0.562	1.406
E605_Q_13.5_18	13	1.515	0.846	2.361
E288_200_Q_4_5	4	0.766	0.799	1.565
E288_200_Q_5_6	5	2.131	0.423	2.554
E288_200_Q_6_7	6	0.744	0.281	1.026
E288_200_Q_7_8	7	0.884	0.026	0.91
E288_200_Q_8_9	8	0.654	0.028	0.682
E288_300_Q_4_5	4	0.607	0.165	0.773
E288_300_Q_5_6	5	1.144	0.054	1.197
E288_300_Q_6_7	6	0.798	0.023	0.821
E288_300_Q_7_8	7	0.251	0.036	0.288
E288_300_Q_8_9	8	0.429	0.039	0.468
E288_300_Q_11_12	9	0.363	0.253	0.616
E288_400_Q_5_6	5	0.571	0.03	0.602
E288_400_Q_6_7	6	0.234	0.035	0.269
E288_400_Q_7_8	7	0.068	0.044	0.112
E288_400_Q_8_9	8	0.445	0.039	0.484
E288_400_Q_11_12	11	0.483	0.023	0.506
E288_400_Q_12_13	12	0.507	0.034	0.54
E288_400_Q_13_14	12	0.317	0.081	0.399
STAR_510	7	1.239	0.01	1.249
CDF_RunI	25	0.707	0.144	0.851
CDF_RunII	26	1.321	0.01	1.331
D0_RunI	12	0.724	0.002	0.726
D0_RunII	5	0.747	0.283	1.03
D0_RunIImu	3	0.092	0.063	0.154
LHCb_7TeV	7	1.872	0.84	2.712
LHCb_8TeV	7	1.575	1.417	2.992
LHCb_13TeV	7	1.346	0.283	1.629
CMS_7TeV	4	2.914	0	2.914
CMS_8TeV	4	1.54	0.187	1.727
ATLAS_7TeV_y_0_1	6	7.324	1.066	8.39
ATLAS_7TeV_y_1_2	6	5.305	0.472	5.777
ATLAS_7TeV_y_2_2.4	6	1.971	0.012	1.983
ATLAS_8TeV_y_0_0.4	6	5.234	1.032	6.267
ATLAS_8TeV_y_0.4_0.8	6	7.015	1.562	8.577
ATLAS_8TeV_y_0.8_1.2	6	4.376	0.62	4.996
ATLAS_8TeV_y_1.2_1.6	6	2.986	0.386	3.372
ATLAS_8TeV_y_1.6_2	6	2.833	0.256	3.089
ATLAS_8TeV_y_2_2.4	6	2.234	0.293	2.527
ATLAS_8TeV_Q_46_66	4	0.83	0.047	0.876
ATLAS_8TeV_Q_116_150	8	1.206	0.008	1.214
Total	353	1.406	0.263	1.669

Mean-replica \chi^2’s:
Experiment	Number of points	\chi_{D}^2	\chi_{\lambda}^2	\chi^2
E605_Q_7_8	7	1.041	0.165	1.207
E605_Q_8_9	8	1.988	0.069	2.057
E605_Q_10.5_11.5	10	0.289	0.102	0.391
E605_Q_11.5_13.5	12	0.405	0.327	0.733
E605_Q_13.5_18	13	0.493	0.477	0.97
E288_200_Q_4_5	4	0.306	0.317	0.622
E288_200_Q_5_6	5	0.995	0.224	1.219
E288_200_Q_6_7	6	0.32	0.159	0.48
E288_200_Q_7_8	7	0.565	0.031	0.596
E288_200_Q_8_9	8	0.757	0.012	0.769
E288_300_Q_4_5	4	0.396	0.065	0.461
E288_300_Q_5_6	5	0.773	0.031	0.804
E288_300_Q_6_7	6	0.496	0.018	0.514
E288_300_Q_7_8	7	0.12	0.031	0.151
E288_300_Q_8_9	8	0.348	0.04	0.388
E288_300_Q_11_12	9	1.161	0.195	1.356
E288_400_Q_5_6	5	0.533	0.054	0.587
E288_400_Q_6_7	6	0.159	0.047	0.206
E288_400_Q_7_8	7	0.028	0.052	0.08
E288_400_Q_8_9	8	0.571	0.038	0.609
E288_400_Q_11_12	11	0.63	0.015	0.644
E288_400_Q_12_13	12	0.705	0.02	0.725
E288_400_Q_13_14	12	0.526	0.076	0.602
STAR_510	7	1.098	0.033	1.131
CDF_RunI	25	0.549	0.14	0.689
CDF_RunII	26	1.277	0.005	1.282
D0_RunI	12	0.752	0.001	0.753
D0_RunII	5	0.618	0.275	0.893
D0_RunIImu	3	0.15	0.08	0.231
LHCb_7TeV	7	1.707	0.837	2.545
LHCb_8TeV	7	1.607	1.334	2.942
LHCb_13TeV	7	1.235	0.266	1.501
CMS_7TeV	4	2.944	0	2.944
CMS_8TeV	4	1.629	0.204	1.833
ATLAS_7TeV_y_0_1	6	7.826	1.037	8.864
ATLAS_7TeV_y_1_2	6	5.484	0.493	5.978
ATLAS_7TeV_y_2_2.4	6	2.238	0.013	2.251
ATLAS_8TeV_y_0_0.4	6	5.635	1.082	6.716
ATLAS_8TeV_y_0.4_0.8	6	7.108	1.68	8.788
ATLAS_8TeV_y_0.8_1.2	6	4.523	0.661	5.183
ATLAS_8TeV_y_1.2_1.6	6	3.043	0.401	3.444
ATLAS_8TeV_y_1.6_2	6	2.859	0.284	3.143
ATLAS_8TeV_y_2_2.4	6	3.085	0.383	3.468
ATLAS_8TeV_Q_46_66	4	0.832	0.077	0.909
ATLAS_8TeV_Q_116_150	8	1.257	0.004	1.261
Total	353	1.387	0.232	1.619

Average-over-replicas \chi^2’s:
Experiment	Number of points	\chi^2
E605_Q_7_8	7	0.743 \pm 0.162
E605_Q_8_9	8	1.425 \pm 0.267
E605_Q_10.5_11.5	10	0.518 \pm 0.055
E605_Q_11.5_13.5	12	1.461 \pm 0.114
E605_Q_13.5_18	13	2.358 \pm 0.174
E288_200_Q_4_5	4	1.688 \pm 0.298
E288_200_Q_5_6	5	2.567 \pm 0.226
E288_200_Q_6_7	6	1.02 \pm 0.149
E288_200_Q_7_8	7	0.881 \pm 0.145
E288_200_Q_8_9	8	0.668 \pm 0.062
E288_300_Q_4_5	4	0.854 \pm 0.186
E288_300_Q_5_6	5	1.204 \pm 0.169
E288_300_Q_6_7	6	0.799 \pm 0.179
E288_300_Q_7_8	7	0.283 \pm 0.089
E288_300_Q_8_9	8	0.493 \pm 0.044
E288_300_Q_11_12	9	0.623 \pm 0.074
E288_400_Q_5_6	5	0.6 \pm 0.163
E288_400_Q_6_7	6	0.268 \pm 0.137
E288_400_Q_7_8	7	0.126 \pm 0.096
E288_400_Q_8_9	8	0.501 \pm 0.071
E288_400_Q_11_12	11	0.529 \pm 0.073
E288_400_Q_12_13	12	0.563 \pm 0.051
E288_400_Q_13_14	12	0.4 \pm 0.076
STAR_510	7	1.235 \pm 0.09
CDF_RunI	25	0.857 \pm 0.04
CDF_RunII	26	1.492 \pm 0.217
D0_RunI	12	0.756 \pm 0.051
D0_RunII	5	1.218 \pm 0.309
D0_RunIImu	3	0.201 \pm 0.153
LHCb_7TeV	7	2.722 \pm 0.074
LHCb_8TeV	7	3.017 \pm 0.175
LHCb_13TeV	7	1.637 \pm 0.04
CMS_7TeV	4	2.921 \pm 0.017
CMS_8TeV	4	1.749 \pm 0.068
ATLAS_7TeV_y_0_1	6	8.459 \pm 0.261
ATLAS_7TeV_y_1_2	6	5.881 \pm 0.185
ATLAS_7TeV_y_2_2.4	6	1.987 \pm 0.121
ATLAS_8TeV_y_0_0.4	6	6.252 \pm 0.222
ATLAS_8TeV_y_0.4_0.8	6	8.627 \pm 0.13
ATLAS_8TeV_y_0.8_1.2	6	5.067 \pm 0.15
ATLAS_8TeV_y_1.2_1.6	6	3.476 \pm 0.157
ATLAS_8TeV_y_1.6_2	6	3.257 \pm 0.293
ATLAS_8TeV_y_2_2.4	6	2.276 \pm 0.449
ATLAS_8TeV_Q_46_66	4	0.87 \pm 0.024
ATLAS_8TeV_Q_116_150	8	1.226 \pm 0.026
Total	353	1.699 \pm 0.018