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}
0.03929225337166122	0.4585030605651706	0.2047307296278494	0.39219414364312494	0.5466961452424751	0.03936952389514996	0.06685346557972836	0.35528288710185424	0.010173598239098757

Theory summary

Collinear PDF set: MMHT2014nnlo68cl member 0
Collinear FF set: DSS14_NLO_PiSum member 0
b^* prescription: bstarmin
Perturbative order: N3LL
Reference value of the fine-structure constant: \alpha(Q = 91.1876\;{\rm GeV}) = 0.00776578395589 (running True)

Global statistical estimators

N_{rep} = 203
\chi_{0}^2 = 1.0705
\chi_{mean}^2 = 1.0197
\langle\chi^2\rangle \pm \sigma_{\chi^2} = 1.094 \pm 0.0119
\langle E \rangle \pm \sigma_{E} = 2.0947 \pm 0.161

Parameters

Parameter	Central replica	Average over replicas	Fixed
g_2	0.037923106	0.03621274 \pm 0.00860477	False
N_1	0.51881393	0.62481322 \pm 0.28221709	False
\alpha	0.20314198	0.20644958 \pm 0.00983289	False
\sigma	0.37327219	0.37011055 \pm 0.06267228	False
\lambda	0.57973261	0.5797666 \pm 0.09166202	False
N_{1B}	0.039554376	0.0443336 \pm 0.0122624	False
\alpha_B	0.067696657	0.06890795 \pm 0.00895598	False
\sigma_B	0.36307837	0.35625572 \pm 0.07538985	False
g_{2B}	0.011221607	0.01156522 \pm 0.00302411	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	0.669	0.008	0.677
E605_Q_8_9	8	1.517	0.005	1.522
E605_Q_10.5_11.5	10	0.341	0.173	0.514
E605_Q_11.5_13.5	12	0.8	0.491	1.291
E605_Q_13.5_18	13	1.407	0.61	2.017
E288_200_Q_4_5	4	0.525	0.843	1.367
E288_200_Q_5_6	5	1.364	0.268	1.632
E288_200_Q_6_7	6	0.259	0.135	0.394
E288_200_Q_7_8	7	0.404	0.005	0.409
E288_200_Q_8_9	8	0.548	0.044	0.592
E288_300_Q_4_5	4	0.467	0.562	1.029
E288_300_Q_5_6	5	0.755	0.156	0.911
E288_300_Q_6_7	6	0.414	0.033	0.447
E288_300_Q_7_8	7	0.088	0.014	0.102
E288_300_Q_8_9	8	0.552	0.003	0.556
E288_300_Q_11_12	9	0.357	0.248	0.605
E288_400_Q_5_6	5	0.266	0.009	0.275
E288_400_Q_6_7	6	0.079	0.0	0.079
E288_400_Q_7_8	7	0.021	0.022	0.043
E288_400_Q_8_9	8	0.413	0.049	0.462
E288_400_Q_11_12	11	0.51	0.053	0.563
E288_400_Q_12_13	12	0.489	0.048	0.538
E288_400_Q_13_14	12	0.592	0.093	0.685
STAR_510	7	0.89	0.033	0.923
CDF_RunI	25	0.533	0.056	0.589
CDF_RunII	26	0.873	0.003	0.876
D0_RunI	12	0.625	0.046	0.671
D0_RunII	5	1.134	0.605	1.739
D0_RunIImu	3	3.282	0.028	3.309
LHCb_7TeV	7	1.125	0.157	1.282
LHCb_8TeV	7	0.541	0.084	0.625
LHCb_13TeV	7	0.786	0.022	0.808
CMS_7TeV	4	2.125	0	2.125
CMS_8TeV	4	1.428	0.006	1.435
ATLAS_7TeV_y_0_1	6	2.652	0.03	2.681
ATLAS_7TeV_y_1_2	6	4.205	1.034	5.239
ATLAS_7TeV_y_2_2.4	6	3.514	0.382	3.896
ATLAS_8TeV_y_0_0.4	6	2.005	0.355	2.359
ATLAS_8TeV_y_0.4_0.8	6	2.202	0.27	2.473
ATLAS_8TeV_y_0.8_1.2	6	0.892	0.064	0.955
ATLAS_8TeV_y_1.2_1.6	6	0.915	0.101	1.016
ATLAS_8TeV_y_1.6_2	6	0.611	0.079	0.69
ATLAS_8TeV_y_2_2.4	6	0.722	0.299	1.021
ATLAS_8TeV_Q_46_66	4	2.304	0.697	3.001
ATLAS_8TeV_Q_116_150	8	0.496	0.003	0.499
Total	353	0.913	0.158	1.07

Mean-replica \chi^2’s:
Experiment	Number of points	\chi_{D}^2	\chi_{\lambda}^2	\chi^2
E605_Q_7_8	7	0.419	0.068	0.487
E605_Q_8_9	8	0.995	0.034	1.029
E605_Q_10.5_11.5	10	0.191	0.137	0.328
E605_Q_11.5_13.5	12	0.491	0.284	0.775
E605_Q_13.5_18	13	0.491	0.385	0.877
E288_200_Q_4_5	4	0.213	0.649	0.862
E288_200_Q_5_6	5	0.673	0.292	0.965
E288_200_Q_6_7	6	0.133	0.141	0.275
E288_200_Q_7_8	7	0.254	0.014	0.268
E288_200_Q_8_9	8	0.652	0.024	0.676
E288_300_Q_4_5	4	0.231	0.555	0.785
E288_300_Q_5_6	5	0.502	0.204	0.706
E288_300_Q_6_7	6	0.315	0.063	0.378
E288_300_Q_7_8	7	0.056	0.03	0.086
E288_300_Q_8_9	8	0.53	0.017	0.547
E288_300_Q_11_12	9	1.047	0.167	1.215
E288_400_Q_5_6	5	0.312	0.065	0.377
E288_400_Q_6_7	6	0.1	0.005	0.105
E288_400_Q_7_8	7	0.018	0.011	0.029
E288_400_Q_8_9	8	0.437	0.039	0.477
E288_400_Q_11_12	11	0.637	0.036	0.673
E288_400_Q_12_13	12	0.788	0.028	0.816
E288_400_Q_13_14	12	1.064	0.044	1.107
STAR_510	7	0.782	0.054	0.836
CDF_RunI	25	0.48	0.058	0.538
CDF_RunII	26	0.959	0.001	0.959
D0_RunI	12	0.711	0.043	0.753
D0_RunII	5	1.325	0.612	1.937
D0_RunIImu	3	3.196	0.023	3.218
LHCb_7TeV	7	1.069	0.194	1.263
LHCb_8TeV	7	0.46	0.075	0.535
LHCb_13TeV	7	0.735	0.02	0.755
CMS_7TeV	4	2.131	0	2.131
CMS_8TeV	4	1.405	0.007	1.412
ATLAS_7TeV_y_0_1	6	2.581	0.028	2.609
ATLAS_7TeV_y_1_2	6	4.333	1.032	5.365
ATLAS_7TeV_y_2_2.4	6	3.561	0.378	3.939
ATLAS_8TeV_y_0_0.4	6	1.924	0.337	2.262
ATLAS_8TeV_y_0.4_0.8	6	2.342	0.247	2.59
ATLAS_8TeV_y_0.8_1.2	6	0.917	0.061	0.978
ATLAS_8TeV_y_1.2_1.6	6	0.912	0.095	1.006
ATLAS_8TeV_y_1.6_2	6	0.721	0.092	0.814
ATLAS_8TeV_y_2_2.4	6	0.932	0.348	1.28
ATLAS_8TeV_Q_46_66	4	2.138	0.745	2.883
ATLAS_8TeV_Q_116_150	8	0.501	0.003	0.504
Total	353	0.88	0.14	1.02

Average-over-replicas \chi^2’s:
Experiment	Number of points	\chi^2
E605_Q_7_8	7	0.692 \pm 0.105
E605_Q_8_9	8	1.537 \pm 0.223
E605_Q_10.5_11.5	10	0.553 \pm 0.071
E605_Q_11.5_13.5	12	1.387 \pm 0.111
E605_Q_13.5_18	13	2.045 \pm 0.111
E288_200_Q_4_5	4	1.432 \pm 0.287
E288_200_Q_5_6	5	1.668 \pm 0.195
E288_200_Q_6_7	6	0.415 \pm 0.084
E288_200_Q_7_8	7	0.425 \pm 0.142
E288_200_Q_8_9	8	0.601 \pm 0.067
E288_300_Q_4_5	4	1.087 \pm 0.266
E288_300_Q_5_6	5	0.943 \pm 0.137
E288_300_Q_6_7	6	0.461 \pm 0.129
E288_300_Q_7_8	7	0.115 \pm 0.045
E288_300_Q_8_9	8	0.576 \pm 0.1
E288_300_Q_11_12	9	0.608 \pm 0.029
E288_400_Q_5_6	5	0.316 \pm 0.081
E288_400_Q_6_7	6	0.111 \pm 0.03
E288_400_Q_7_8	7	0.082 \pm 0.054
E288_400_Q_8_9	8	0.504 \pm 0.082
E288_400_Q_11_12	11	0.595 \pm 0.138
E288_400_Q_12_13	12	0.57 \pm 0.039
E288_400_Q_13_14	12	0.697 \pm 0.051
STAR_510	7	0.93 \pm 0.047
CDF_RunI	25	0.592 \pm 0.016
CDF_RunII	26	0.896 \pm 0.066
D0_RunI	12	0.671 \pm 0.028
D0_RunII	5	1.702 \pm 0.223
D0_RunIImu	3	3.213 \pm 0.443
LHCb_7TeV	7	1.281 \pm 0.037
LHCb_8TeV	7	0.669 \pm 0.128
LHCb_13TeV	7	0.845 \pm 0.069
CMS_7TeV	4	2.128 \pm 0.009
CMS_8TeV	4	1.432 \pm 0.051
ATLAS_7TeV_y_0_1	6	2.707 \pm 0.242
ATLAS_7TeV_y_1_2	6	5.287 \pm 0.094
ATLAS_7TeV_y_2_2.4	6	3.916 \pm 0.108
ATLAS_8TeV_y_0_0.4	6	2.364 \pm 0.134
ATLAS_8TeV_y_0.4_0.8	6	2.502 \pm 0.087
ATLAS_8TeV_y_0.8_1.2	6	0.994 \pm 0.085
ATLAS_8TeV_y_1.2_1.6	6	1.038 \pm 0.154
ATLAS_8TeV_y_1.6_2	6	0.805 \pm 0.241
ATLAS_8TeV_y_2_2.4	6	1.054 \pm 0.223
ATLAS_8TeV_Q_46_66	4	2.995 \pm 0.117
ATLAS_8TeV_Q_116_150	8	0.502 \pm 0.008
Total	353	1.094 \pm 0.012