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: 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}
0.0010419173824142214	0.39014293364681746	0.22161484622320993	0.4074774248933806	0.526353557609152	0.03814065059347773	0.07312140408143371	0.3351975265330307	0.014297981212139585

Theory summary

Collinear PDF set: MMHT2014nnlo68cl member 0
Collinear FF set: DSS14_NLO_PiSum member 0
b^* prescription: bstarmin
Perturbative order: NNLLp
Reference value of the fine-structure constant: \alpha(Q = 91.1876\;{\rm GeV}) = 0.00776578395589 (running True)

Global statistical estimators

N_{rep} = 122
\chi_{0}^2 = 1.1465
\chi_{mean}^2 = 1.0724
\langle\chi^2\rangle \pm \sigma_{\chi^2} = 1.1698 \pm 0.0124
\langle E \rangle \pm \sigma_{E} = 2.1819 \pm 0.1528

Parameters

Parameter	Central replica	Average over replicas	Fixed
g_2	0.00011560729	-0.00104242 \pm 0.00810468	False
N_1	0.42030542	0.44676858 \pm 0.14107231	False
\alpha	0.21950611	0.22573654 \pm 0.01364442	False
\sigma	0.39278937	0.39114982 \pm 0.08850198	False
\lambda	0.55456343	0.54421056 \pm 0.0871428	False
N_{1B}	0.037791147	0.04211653 \pm 0.01288901	False
\alpha_B	0.073482989	0.07526806 \pm 0.01089862	False
\sigma_B	0.33712526	0.30370251 \pm 0.11145638	False
g_{2B}	0.015197922	0.01507184 \pm 0.00297575	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	0.611	0.001	0.612
E605_Q_8_9	8	1.419	0.001	1.419
E605_Q_10.5_11.5	10	0.36	0.188	0.548
E605_Q_11.5_13.5	12	0.834	0.56	1.394
E605_Q_13.5_18	13	1.404	0.705	2.11
E288_200_Q_4_5	4	0.648	0.9	1.549
E288_200_Q_5_6	5	1.578	0.298	1.876
E288_200_Q_6_7	6	0.335	0.148	0.482
E288_200_Q_7_8	7	0.449	0.006	0.455
E288_200_Q_8_9	8	0.552	0.041	0.593
E288_300_Q_4_5	4	0.545	0.529	1.074
E288_300_Q_5_6	5	0.877	0.151	1.029
E288_300_Q_6_7	6	0.509	0.038	0.547
E288_300_Q_7_8	7	0.115	0.021	0.136
E288_300_Q_8_9	8	0.521	0.008	0.529
E288_300_Q_11_12	9	0.356	0.233	0.589
E288_400_Q_5_6	5	0.347	0.004	0.351
E288_400_Q_6_7	6	0.096	0.001	0.097
E288_400_Q_7_8	7	0.019	0.02	0.039
E288_400_Q_8_9	8	0.427	0.04	0.466
E288_400_Q_11_12	11	0.495	0.041	0.536
E288_400_Q_12_13	12	0.487	0.039	0.526
E288_400_Q_13_14	12	0.596	0.085	0.68
STAR_510	7	0.952	0.04	0.992
CDF_RunI	25	0.555	0.072	0.627
CDF_RunII	26	0.948	0.002	0.95
D0_RunI	12	0.645	0.032	0.677
D0_RunII	5	1.05	0.046	1.096
D0_RunIImu	3	0.295	0.05	0.345
LHCb_7TeV	7	1.191	0.205	1.396
LHCb_8TeV	7	0.546	0.155	0.701
LHCb_13TeV	7	0.817	0.04	0.857
CMS_7TeV	4	2.532	0	2.532
CMS_8TeV	4	1.319	0.156	1.475
ATLAS_7TeV_y_0_1	6	3.519	0.017	3.536
ATLAS_7TeV_y_1_2	6	3.691	0.597	4.288
ATLAS_7TeV_y_2_2.4	6	2.907	0.286	3.193
ATLAS_8TeV_y_0_0.4	6	3.095	0.718	3.812
ATLAS_8TeV_y_0.4_0.8	6	3.424	0.702	4.126
ATLAS_8TeV_y_0.8_1.2	6	1.601	0.181	1.782
ATLAS_8TeV_y_1.2_1.6	6	1.381	0.228	1.609
ATLAS_8TeV_y_1.6_2	6	0.926	0.289	1.214
ATLAS_8TeV_y_2_2.4	6	0.95	0.432	1.382
ATLAS_8TeV_Q_46_66	4	1.853	0.531	2.384
ATLAS_8TeV_Q_116_150	8	0.657	0.002	0.66
Total	353	0.973	0.173	1.146

Mean-replica \chi^2’s:
Experiment	Number of points	\chi_{D}^2	\chi_{\lambda}^2	\chi^2
E605_Q_7_8	7	0.425	0.048	0.472
E605_Q_8_9	8	0.991	0.027	1.018
E605_Q_10.5_11.5	10	0.183	0.156	0.339
E605_Q_11.5_13.5	12	0.442	0.318	0.759
E605_Q_13.5_18	13	0.463	0.423	0.886
E288_200_Q_4_5	4	0.252	0.659	0.911
E288_200_Q_5_6	5	0.762	0.308	1.07
E288_200_Q_6_7	6	0.174	0.156	0.33
E288_200_Q_7_8	7	0.303	0.019	0.322
E288_200_Q_8_9	8	0.652	0.018	0.669
E288_300_Q_4_5	4	0.268	0.528	0.796
E288_300_Q_5_6	5	0.57	0.203	0.773
E288_300_Q_6_7	6	0.384	0.07	0.455
E288_300_Q_7_8	7	0.076	0.04	0.116
E288_300_Q_8_9	8	0.458	0.026	0.484
E288_300_Q_11_12	9	0.977	0.146	1.123
E288_400_Q_5_6	5	0.39	0.053	0.443
E288_400_Q_6_7	6	0.136	0.004	0.141
E288_400_Q_7_8	7	0.023	0.008	0.031
E288_400_Q_8_9	8	0.438	0.027	0.465
E288_400_Q_11_12	11	0.585	0.023	0.608
E288_400_Q_12_13	12	0.73	0.018	0.748
E288_400_Q_13_14	12	1.039	0.034	1.073
STAR_510	7	0.798	0.065	0.863
CDF_RunI	25	0.489	0.073	0.562
CDF_RunII	26	1.034	0.0	1.034
D0_RunI	12	0.722	0.028	0.75
D0_RunII	5	1.051	0.046	1.097
D0_RunIImu	3	0.379	0.08	0.459
LHCb_7TeV	7	1.096	0.235	1.331
LHCb_8TeV	7	0.492	0.148	0.64
LHCb_13TeV	7	0.759	0.038	0.797
CMS_7TeV	4	2.528	0	2.528
CMS_8TeV	4	1.301	0.153	1.454
ATLAS_7TeV_y_0_1	6	3.403	0.019	3.422
ATLAS_7TeV_y_1_2	6	3.798	0.596	4.394
ATLAS_7TeV_y_2_2.4	6	2.984	0.282	3.266
ATLAS_8TeV_y_0_0.4	6	2.999	0.699	3.698
ATLAS_8TeV_y_0.4_0.8	6	3.544	0.665	4.209
ATLAS_8TeV_y_0.8_1.2	6	1.62	0.174	1.794
ATLAS_8TeV_y_1.2_1.6	6	1.395	0.222	1.617
ATLAS_8TeV_y_1.6_2	6	0.99	0.296	1.287
ATLAS_8TeV_y_2_2.4	6	1.126	0.485	1.611
ATLAS_8TeV_Q_46_66	4	1.71	0.567	2.277
ATLAS_8TeV_Q_116_150	8	0.67	0.002	0.672
Total	353	0.922	0.151	1.072

Average-over-replicas \chi^2’s:
Experiment	Number of points	\chi^2
E605_Q_7_8	7	0.683 \pm 0.155
E605_Q_8_9	8	1.482 \pm 0.226
E605_Q_10.5_11.5	10	0.584 \pm 0.072
E605_Q_11.5_13.5	12	1.477 \pm 0.096
E605_Q_13.5_18	13	2.118 \pm 0.097
E288_200_Q_4_5	4	1.516 \pm 0.339
E288_200_Q_5_6	5	1.858 \pm 0.201
E288_200_Q_6_7	6	0.479 \pm 0.091
E288_200_Q_7_8	7	0.447 \pm 0.131
E288_200_Q_8_9	8	0.593 \pm 0.058
E288_300_Q_4_5	4	1.062 \pm 0.289
E288_300_Q_5_6	5	1.034 \pm 0.142
E288_300_Q_6_7	6	0.542 \pm 0.127
E288_300_Q_7_8	7	0.138 \pm 0.047
E288_300_Q_8_9	8	0.561 \pm 0.085
E288_300_Q_11_12	9	0.594 \pm 0.03
E288_400_Q_5_6	5	0.38 \pm 0.102
E288_400_Q_6_7	6	0.121 \pm 0.046
E288_400_Q_7_8	7	0.07 \pm 0.044
E288_400_Q_8_9	8	0.501 \pm 0.074
E288_400_Q_11_12	11	0.593 \pm 0.137
E288_400_Q_12_13	12	0.55 \pm 0.035
E288_400_Q_13_14	12	0.68 \pm 0.055
STAR_510	7	1.009 \pm 0.071
CDF_RunI	25	0.629 \pm 0.019
CDF_RunII	26	0.977 \pm 0.084
D0_RunI	12	0.688 \pm 0.026
D0_RunII	5	1.041 \pm 0.218
D0_RunIImu	3	0.394 \pm 0.174
LHCb_7TeV	7	1.4 \pm 0.027
LHCb_8TeV	7	0.713 \pm 0.091
LHCb_13TeV	7	0.88 \pm 0.045
CMS_7TeV	4	2.535 \pm 0.014
CMS_8TeV	4	1.472 \pm 0.06
ATLAS_7TeV_y_0_1	6	3.57 \pm 0.282
ATLAS_7TeV_y_1_2	6	4.366 \pm 0.117
ATLAS_7TeV_y_2_2.4	6	3.232 \pm 0.092
ATLAS_8TeV_y_0_0.4	6	3.814 \pm 0.178
ATLAS_8TeV_y_0.4_0.8	6	4.162 \pm 0.077
ATLAS_8TeV_y_0.8_1.2	6	1.815 \pm 0.079
ATLAS_8TeV_y_1.2_1.6	6	1.647 \pm 0.117
ATLAS_8TeV_y_1.6_2	6	1.288 \pm 0.208
ATLAS_8TeV_y_2_2.4	6	1.537 \pm 0.382
ATLAS_8TeV_Q_46_66	4	2.376 \pm 0.108
ATLAS_8TeV_Q_116_150	8	0.666 \pm 0.014
Total	353	1.17 \pm 0.012