Report of the fit

Fit summary

Description: PV19 version x
Minimiser: minuit
Random seed: 1234
Maximum values allowed for q_T / Q: 0.2
Percentile cut: 5
Parameterisation: PV19x
Initial parameters fluctuations: False
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}
-0.12171532362505316	654.4751907123826	140.22949684582787	1.8350315259676926	0.49862144025369637	0.020682804403049194	0.17977030257144908	0.0034810401323081995	0.042248352421387886

Theory summary

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

Global statistical estimators

N_{rep} = 128
\chi_{0}^2 = 3.2628
\chi_{mean}^2 = 3.1909
\langle\chi^2\rangle \pm \sigma_{\chi^2} = 3.2801 \pm 0.0107
\langle E \rangle \pm \sigma_{E} = 4.3175 \pm 0.2259

Parameters

Parameter	Central replica	Average over replicas	Fixed
g_2	-0.12171324	-0.12171315 \pm 0.00878992	False
N_1	2290.5502	22858.55589272 \pm 91979.53431227	False
\alpha	417.24014	2513.87711699 \pm 8988.48011056	False
\sigma	1.9663395	1.79482461 \pm 0.30610008	False
\lambda	0.49454503	0.48658755 \pm 0.06344241	False
N_{1B}	0.020409603	0.02352988 \pm 0.00950689	False
\alpha_B	0.17977059	0.17977411 \pm 6.727e-05	False
\sigma_B	0.0034851611	0.00351953 \pm 0.0005288	False
g_{2B}	0.041642355	0.04137174 \pm 0.00674311	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	0.491	0.201	0.693
E605_Q_8_9	8	0.914	0.045	0.959
E605_Q_10.5_11.5	10	0.531	0.035	0.566
E605_Q_11.5_13.5	12	1.717	0.401	2.117
E605_Q_13.5_18	13	2.492	0.744	3.236
E288_200_Q_4_5	4	1.176	0.701	1.877
E288_200_Q_5_6	5	3.117	0.645	3.762
E288_200_Q_6_7	6	1.351	0.265	1.617
E288_200_Q_7_8	7	1.396	0.027	1.423
E288_200_Q_8_9	8	0.805	0.02	0.825
E288_300_Q_4_5	4	0.905	0.102	1.007
E288_300_Q_5_6	5	1.864	0.085	1.949
E288_300_Q_6_7	6	1.496	0.005	1.502
E288_300_Q_7_8	7	0.641	0.016	0.657
E288_300_Q_8_9	8	0.407	0.03	0.437
E288_300_Q_11_12	9	0.354	0.221	0.575
E288_400_Q_5_6	5	1.263	0.005	1.268
E288_400_Q_6_7	6	0.773	0.065	0.838
E288_400_Q_7_8	7	0.478	0.073	0.551
E288_400_Q_8_9	8	0.719	0.064	0.783
E288_400_Q_11_12	11	0.51	0.025	0.535
E288_400_Q_12_13	12	0.546	0.029	0.575
E288_400_Q_13_14	12	0.428	0.074	0.503
STAR_510	7	1.627	0.03	1.657
CDF_RunI	25	0.891	0.255	1.146
CDF_RunII	26	1.62	0.032	1.652
D0_RunI	12	0.844	0.009	0.853
D0_RunII	5	0.795	0.008	0.803
D0_RunIImu	3	0.992	0.153	1.145
LHCb_7TeV	7	2.19	1.445	3.635
LHCb_8TeV	7	2.263	2.681	4.943
LHCb_13TeV	7	1.792	0.573	2.364
CMS_7TeV	4	5.524	0	5.524
CMS_8TeV	4	2.335	0.438	2.774
ATLAS_7TeV_y_0_1	6	16.788	4.909	21.697
ATLAS_7TeV_y_1_2	6	12.263	2.602	14.865
ATLAS_7TeV_y_2_2.4	6	3.499	0.171	3.669
ATLAS_8TeV_y_0_0.4	6	12.591	3.89	16.48
ATLAS_8TeV_y_0.4_0.8	6	16.921	6.006	22.928
ATLAS_8TeV_y_0.8_1.2	6	11.439	2.219	13.658
ATLAS_8TeV_y_1.2_1.6	6	7.414	1.708	9.122
ATLAS_8TeV_y_1.6_2	6	6.356	2.232	8.588
ATLAS_8TeV_y_2_2.4	6	2.728	0.762	3.491
ATLAS_8TeV_Q_46_66	4	2.249	0.371	2.62
ATLAS_8TeV_Q_116_150	8	3.518	0.111	3.629
Total	353	2.632	0.631	3.263

Mean-replica \chi^2’s:
Experiment	Number of points	\chi_{D}^2	\chi_{\lambda}^2	\chi^2
E605_Q_7_8	7	0.715	0.146	0.861
E605_Q_8_9	8	1.296	0.107	1.403
E605_Q_10.5_11.5	10	0.812	0.031	0.843
E605_Q_11.5_13.5	12	1.257	0.226	1.483
E605_Q_13.5_18	13	1.256	0.418	1.674
E288_200_Q_4_5	4	0.597	0.482	1.079
E288_200_Q_5_6	5	1.73	0.311	2.041
E288_200_Q_6_7	6	0.975	0.209	1.185
E288_200_Q_7_8	7	1.423	0.051	1.474
E288_200_Q_8_9	8	1.191	0.003	1.194
E288_300_Q_4_5	4	0.705	0.169	0.874
E288_300_Q_5_6	5	1.716	0.065	1.781
E288_300_Q_6_7	6	1.774	0.025	1.799
E288_300_Q_7_8	7	0.871	0.029	0.9
E288_300_Q_8_9	8	0.41	0.036	0.445
E288_300_Q_11_12	9	1.019	0.176	1.195
E288_400_Q_5_6	5	1.947	0.017	1.965
E288_400_Q_6_7	6	1.858	0.039	1.897
E288_400_Q_7_8	7	1.638	0.069	1.707
E288_400_Q_8_9	8	1.831	0.073	1.904
E288_400_Q_11_12	11	0.715	0.036	0.75
E288_400_Q_12_13	12	0.832	0.031	0.863
E288_400_Q_13_14	12	0.886	0.071	0.957
STAR_510	7	1.397	0.083	1.48
CDF_RunI	25	0.709	0.239	0.948
CDF_RunII	26	1.801	0.026	1.827
D0_RunI	12	0.71	0.014	0.724
D0_RunII	5	2.312	0.015	2.328
D0_RunIImu	3	0.946	0.447	1.393
LHCb_7TeV	7	1.712	1.411	3.123
LHCb_8TeV	7	1.97	2.491	4.461
LHCb_13TeV	7	1.576	0.51	2.086
CMS_7TeV	4	5.367	0	5.367
CMS_8TeV	4	2.195	0.405	2.601
ATLAS_7TeV_y_0_1	6	15.7	5.056	20.756
ATLAS_7TeV_y_1_2	6	11.423	2.571	13.994
ATLAS_7TeV_y_2_2.4	6	3.346	0.172	3.518
ATLAS_8TeV_y_0_0.4	6	11.911	3.881	15.792
ATLAS_8TeV_y_0.4_0.8	6	16.179	5.929	22.108
ATLAS_8TeV_y_0.8_1.2	6	10.907	2.181	13.088
ATLAS_8TeV_y_1.2_1.6	6	6.965	1.697	8.663
ATLAS_8TeV_y_1.6_2	6	5.836	2.113	7.948
ATLAS_8TeV_y_2_2.4	6	2.522	0.741	3.263
ATLAS_8TeV_Q_46_66	4	1.977	0.32	2.297
ATLAS_8TeV_Q_116_150	8	3.369	0.102	3.471
Total	353	2.593	0.598	3.191

Average-over-replicas \chi^2’s:
Experiment	Number of points	\chi^2
E605_Q_7_8	7	0.707 \pm 0.09
E605_Q_8_9	8	1.009 \pm 0.082
E605_Q_10.5_11.5	10	0.604 \pm 0.084
E605_Q_11.5_13.5	12	2.132 \pm 0.182
E605_Q_13.5_18	13	3.225 \pm 0.181
E288_200_Q_4_5	4	1.901 \pm 0.18
E288_200_Q_5_6	5	3.764 \pm 0.243
E288_200_Q_6_7	6	1.617 \pm 0.175
E288_200_Q_7_8	7	1.421 \pm 0.184
E288_200_Q_8_9	8	0.831 \pm 0.097
E288_300_Q_4_5	4	1.019 \pm 0.127
E288_300_Q_5_6	5	1.946 \pm 0.224
E288_300_Q_6_7	6	1.49 \pm 0.266
E288_300_Q_7_8	7	0.658 \pm 0.161
E288_300_Q_8_9	8	0.451 \pm 0.032
E288_300_Q_11_12	9	0.584 \pm 0.06
E288_400_Q_5_6	5	1.253 \pm 0.253
E288_400_Q_6_7	6	0.833 \pm 0.312
E288_400_Q_7_8	7	0.566 \pm 0.296
E288_400_Q_8_9	8	0.807 \pm 0.225
E288_400_Q_11_12	11	0.551 \pm 0.061
E288_400_Q_12_13	12	0.588 \pm 0.056
E288_400_Q_13_14	12	0.508 \pm 0.107
STAR_510	7	1.626 \pm 0.102
CDF_RunI	25	1.15 \pm 0.035
CDF_RunII	26	1.719 \pm 0.224
D0_RunI	12	0.867 \pm 0.081
D0_RunII	5	0.838 \pm 0.171
D0_RunIImu	3	1.201 \pm 0.088
LHCb_7TeV	7	3.661 \pm 0.105
LHCb_8TeV	7	4.994 \pm 0.154
LHCb_13TeV	7	2.388 \pm 0.046
CMS_7TeV	4	5.523 \pm 0.058
CMS_8TeV	4	2.775 \pm 0.084
ATLAS_7TeV_y_0_1	6	21.713 \pm 0.425
ATLAS_7TeV_y_1_2	6	14.913 \pm 0.39
ATLAS_7TeV_y_2_2.4	6	3.698 \pm 0.094
ATLAS_8TeV_y_0_0.4	6	16.483 \pm 0.293
ATLAS_8TeV_y_0.4_0.8	6	22.965 \pm 0.353
ATLAS_8TeV_y_0.8_1.2	6	13.667 \pm 0.253
ATLAS_8TeV_y_1.2_1.6	6	9.136 \pm 0.197
ATLAS_8TeV_y_1.6_2	6	8.629 \pm 0.281
ATLAS_8TeV_y_2_2.4	6	3.528 \pm 0.143
ATLAS_8TeV_Q_46_66	4	2.615 \pm 0.105
ATLAS_8TeV_Q_116_150	8	3.64 \pm 0.075
Total	353	3.28 \pm 0.011