Introduction Genie CC 0π tuning Analysis Conclusion
GENIE/Professor framework for neutrino data global fit A first application: global fit of CC 0π datasets
Marco Roda - [email protected] on behalf of GENIE collaboration
University of Liverpool
19 April 2017 IPPP/NuStec
1 / 38 Introduction Genie CC 0π tuning Analysis Conclusion
Outline
Introduction Genie status vs recent datasets Tuning mechanism Tuning results Conclusions
Thanks to IPPP Associateship award
2 / 38 Introduction Genie CC 0π tuning Analysis Conclusion
Outline
Introduction Genie status vs recent datasets Tuning mechanism Tuning results Conclusions
Thanks to IPPP Associateship award
3 / 38 Introduction Genie CC 0π tuning Analysis Conclusion
Why 0π Why care about 0π?
We want to study neutrinos flavour and mixing Lepton CP violation
Oscillation experiments T2k, NOvA DUNE, HyperK Beam energy ∼ few GeV
CC 0π is the dominant reaction Two body reaction Ideal for ν energy estimation ...... on free nucleons
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0π puzzle CC Quasi-Elastic - 0π on single nucleons
Neutrinos Antineutrinos Theoretically 2003-2017, GENIE - http://www.genie-mc.org 2003-2017, GENIE - http://www.genie-mc.org ] ] 2 understood 2 2 cm cm -38
-38 1 Well constrained by 1.5
experimental 1 information 0.5 CCQE [10 0.5 CCQE [10 µ µ ν Electron scattering ν 0 0 Neutron β decay 10−1 1 10 1 10 102
ANL_12FT,1 ANL_12FT,3 Eν [GeV] BNL_7FT,2 Gargamelle,3 Eν [GeV] Experiments on BEBC,12 BNL_7FT,3 FNAL_15FT,3 Gargamelle,2 Gargamelle,5 NOMAD,3 Hydrogen / Deuterium NOMAD,2 SERP_A1,0 SERP_A1,2 SKAT,9 SERP_A1,1 SKAT,8
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0π puzzle CC Meson Exchange Current - 0π on heavy nuclei
On higher A nuclei things are complicated
CCQE is not enough to describe data MiniBooNE MiniBooNE data
MEC is required nucleons interactions 2p-2h np-nh > 20 % effect On carbon
[Martini et al. PRC 84 055502 (2011)]
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0π puzzle Effect of MEC on energy reconstruction
CCQE is a 2-body reaction Eν depends is just a function of lepton momentum and angle
MEC is not a 2-body reaction low energy tails in recontructed energy distributions
MEC also relevant for CP searches np-nh is different for ν/ν¯
⇒ MEC is important to achieve Martini et al. precise measurements
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0π puzzle Search for 2p-2h
ArgoNEUT
Characteristic events 2 back-to-back nucleons
Nuclear effect can change observed topology migrations in the number of observed protons [Phys.Rev. D90 (2014) 1, 012008] future LarTPCs (or gas TPCs) important role Disentangle FSI from MEC CC 0π samples proton multiplicity
Important dataset that will "soon" be available
[Ulrich Mosel]
8 / 38 Introduction Genie CC 0π tuning Analysis Conclusion
MC generators
What can we do as generator people? Comparing different data and models Being quantitative ⇒ highlight tensions Call for experiments: we need full covariance matrices feedback for experiments ⇒ drive the format of cross section releases ⇒ hint toward key measurements Global fits Model ⇒ Cross sections is not analytic
What is the status of Genie in all of this?
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MC generators
What can we do as generator people? Comparing different data and models Being quantitative ⇒ highlight tensions Call for experiments: we need full covariance matrices feedback for experiments ⇒ drive the format of cross section releases ⇒ hint toward key measurements Global fits Model ⇒ Cross sections is not analytic
What is the status of Genie in all of this?
10 / 38 Introduction Genie CC 0π tuning Analysis Conclusion
MC generators
What can we do as generator people? Comparing different data and models Being quantitative ⇒ highlight tensions Call for experiments: we need full covariance matrices feedback for experiments ⇒ drive the format of cross section releases ⇒ hint toward key measurements Global fits Model ⇒ Cross sections is not analytic
What is the status of Genie in all of this?
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Models Genie - Models for 0π
Default - G00_00a No MEC CCQE process is LwlynSmith Model Dipole Axial Form Factor - Depending on MA = 0.99 GeV Nuclear model: Fermi Gas Model - Bodek, Ritchie
Default + MEC - G16_01b with Empirical MEC CCQE process is LwlynSmith Model Dipole Axial Form Factor - Depending on MA = 0.99 GeV Nuclear model: Fermi Gas Model - Bodek, Ritchie
Nieves, Simo, Vacas Model - G16_02a Theory motivated MEC CCQE process is Nieves Dipole Axial Form Factor - Depending on MA = 0.99 GeV Nuclear model: Local Fermi Gas Model
G17_02a (not presented in this talk) - G17_02a with Z-Expansion for Axial form factor Get rid of MA
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CCQE MiniBooNE CCQE
2003-2017, GENIE - http://www.genie-mc.org 2 [GeV]
Both ν and ν¯ µ T Double differential cross section 2 1.5 flux integrated
No correlations 1 1 Preferred model is Nieves Model (G16_02a) 0.5 excellent agreement for ν χ2 = 101/137 DoF 0 −1 −0.5 0 0.5 1 Cosθ worse for ν¯ µ -38 ∂2σ(ν CC 0π)/∂ Cosθ /∂ T [10 cm2/GeV/n] χ2 = 176/78 DoF µ µ µ Data: miniboone_nuccqe_2010
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CCQE MiniBooNE CCQE
Tµ ∈[0.4; 0.5 ] GeV
Both ν and ν¯ 2 /GeV/n] Double differential cross section 2 cm
flux integrated -38 1.5 [10 µ T ∂ / µ
No correlations θ 1 Cos ∂
Preferred model is Nieves Model )/ π (G16_02a) 0.5 CC 0 µ
ν ν excellent agreement for ( σ
2 2
χ = 101/137 DoF ∂ 0 −1 −0.5 0 0.5 1 worse for ν¯ miniboone_nuccqe_2010 Cosθµ 2 2 χ = 176/78 DoF trunk:G00_00a:miniboone_fhc χ = 40.6/17 DoF trunk:G16_01b:miniboone_fhc χ2 = 64.8/17 DoF
trunk:G16_02a:miniboone_fhc χ2 = 14.3/17 DoF
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CCQE T2K ND280 0π
2003-2017, GENIE - http://www.genie-mc.org
Double differential cross section [GeV] µ 6
P 1 flux integrated
Fully correlated 4
Tensions between datasets 0.5
Preferred model is G16_01b 2 χ2 = 135/67 DoF
all models look reasonable "By eye" 0 0 estimation −1 −0.5 0 0.5 1 Cosθ correlation is complicated µ ∂2σ/∂ Cosθ /∂ P [10-38 cm2/GeV/n] We can’t ignore it! µ µ Data: t2k_nd280_numucc0pi_2015
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CCQE T2K ND280 0π
Double differential cross section flux integrated
Bin ∈ [ 36; 41 ]
1
Fully correlated /GeV/n] 2 cm -38 [10 µ
P 0.5
Tensions between datasets ∂ / µ θ Cos ∂
Preferred model is G16_01b / σ 2 ∂ Cos Cos Cos Cos Cos Cos 2 0 θ θ θ θ θ θ χ = 135/67 DoF µ = 0.875 P µ = 0.875 P µ = 0.875 P µ = 0.92 P µ = 0.92 P µ = 0.92 P µ = 0.9 GeV µ = 1.25 GeV µ = 15.75 GeV µ = 0.2 GeV µ = 0.45 GeV µ = 0.55 GeV
t2k_nd280_numucc0pi_2015 trunk:G00_00a:t2k_nd280_numu_fhc χ2 = 11.5/6 DoF trunk:G16_01b:t2k_nd280_numu_fhc χ2 = 3.43/6 DoF all models look reasonable "By eye" trunk:G16_02a:t2k_nd280_numu_fhc χ2 = 28.1/6 DoF estimation correlation is complicated We can’t ignore it!
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Genie status GENIE
New Models MEC models Empirical Nieves Simo Vacas
Better CCQE model Nieves ...
Nuclear models
Multiple combinations Need to check the balance between each component will have a tuning!
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Genie status GENIE
New Models MEC models Empirical Nieves Simo Vacas
Better CCQE model Nieves ...
Nuclear models
Multiple combinations Need to check the balance between each component will have a tuning!
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Comparisons The Comparisons
The GENIE suite contains a package devoted to comparing GENIE predictions against publicly released datasets. Crucial technology for new GENIE global fit to neutrino scattering data
Provides the opportunity to improve and develop GENIE models
All sorts of data Modern Neutrino Cross Section measurement nuclear targets typically flux-integrated differential cross-sections MiniBooNE, T2K, MINERvA
Historical Neutrino Cross Section Measurement Bubble chamber experiment
Measurements of neutrino-induced hadronic system characteristics
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Professor Professor
http://professor.hepforge.org Numerical assistant Developed for ATLAS experiment I(p) used instead of a full MC 1 MC runs subset of param space 2 sample bin’s behaviour 3 Parametrization I(p) Polinomial interpolation Repeat for each bin
a parameterization Ij (p) for each bin p Minimize according to~I(p)
∼ 15 parameters
Special thanks to H. Schulz based here in Durham
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Professor Professor
http://professor.hepforge.org Numerical assistant Developed for ATLAS experiment I(p) used instead of a full MC 1 MC runs subset of param space 2 sample bin’s behaviour 3 Parametrization I(p) Polinomial interpolation Repeat for each bin
a parameterization Ij (p) for each bin p Minimize according to~I(p)
∼ 15 parameters
Special thanks to H. Schulz based here in Durham
21 / 38 Introduction Genie CC 0π tuning Analysis Conclusion
Professor Professor
http://professor.hepforge.org Numerical assistant Developed for ATLAS experiment I(p) used instead of a full MC 1 MC runs subset of param space interpolated value 2 sample bin’s behaviour 3 Parametrization I(p) Polinomial interpolation Repeat for each bin
a parameterization Ij (p) for each bin p Minimize according to~I(p)
∼ 15 parameters
Special thanks to H. Schulz based here in Durham
22 / 38 Introduction Genie CC 0π tuning Analysis Conclusion
Professor Professor
http://professor.hepforge.org Numerical assistant Developed for ATLAS experiment I(p) used instead of a full MC 1 MC runs subset of param space interpolated value 2 sample bin’s behaviour 3 Parametrization I(p) Polinomial interpolation Repeat for each bin
a parameterization Ij (p) for each bin p Minimize according to~I(p)
∼ 15 parameters
Special thanks to H. Schulz based here in Durham
23 / 38 Introduction Genie CC 0π tuning Analysis Conclusion
Professor Professor
http://professor.hepforge.org Numerical assistant Developed for ATLAS experiment I(p) used instead of a full MC 1 MC runs subset of param space interpolated value 2 sample bin’s behaviour 3 Parametrization I(p) Polinomial interpolation Repeat for each bin
a parameterization Ij (p) for each bin p Minimize according to~I(p)
∼ 15 parameters
Special thanks to H. Schulz based here in Durham
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Professor Advantages
Highly parallelizable independent from the minimization
All kind of parameters can be tuned Not only reweight-able
Advanced system Take into account correlations weights specific for each bin and/or dataset Proper treatment while handling multiple datasets Restrict the fit to particular subsets
Nuisance parameters can be inserted proper treatment for datasets without correlations (MiniBooNE)
Reliable minimization algorithm based on Minuit
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Inputs Datasets - 298 data points
Data 2.2
2
1.8 MiniBooNE νµ CCQE 1.6 2D histogram 1.4 137 points 1.2 1
0.8 MiniBooNE ν¯µ CCQE 0.6 2D histogram 0.4 78 points 0.2 0 T2K ND280 0π (2015)
irregular 2D histogram Data Covariance
67 points bin 0.14
250 MINERvA νµ CCQE 0.12
0.1 1D histogram 200 0.08 8 points 150 0.06 MINERvA ν¯µ CCQE 100 0.04
1D histogram 0.02 50
8 points 0 0 0 50 100 150 200 250 bin
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Inputs Model and parameters
Default + Empirical MEC G16_01b in the new naming scheme Parameters: QEL-MA ∈ [0.7; 1.8] GeV - Default value is 0.99 GeV QEL-CC-XSecScale ∈ [0.8; 1.2] - Default value is 1 RES-CC-XSecScale ∈ [0.5; 1.5] - Default value is 1 MEC-FracCCQE ∈ [0; 1] - Default value is 0.45 FSI-PionMFP-Scale ∈ [0.6; 1.4] - Default value is 1 FSI-PionAbs-Scale ∈ [0.4; 1.6] - Default value is 1
No priors on the parameters Considering on MA
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Outputs Professor Output
Parameter Covariance
5 0.005
4 Parameters best fit 0.004
0 MA 3 0.003
1 QEL-CC-XSecScale 0.002 2 RES-CC-XSecScale 2 0.001 3 MEC-FracCCQE 1 0 4 FSI-PionMFP-Scale 0
5 FSI-PionAbs-Scale 0 1 2 3 4 5
Prediction covariance Prediction Covariance due to the propagation of the param. covariance 0.007 So far not used 250 0.006 0.005 200 Tool to propagate systematics 0.004 150 0.003
parameters 0.002 100 0.001
0 50
−0.001
0 0 50 100 150 200 250
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Outputs Sheer results
Parameter Best fit Nominal 2 MA (GeV/c ) 1.21 ± 0.02 0.99 QEL-CC-XSecScale 0.95 ± 0.02 1 RES-CC-XSecScale 1.02 ± 0.05 1 MEC-FracCCQE 0.53 ± 0.08 0.45 FSI-PionMFP-Scale 0.75 ± 0.04 1 FSI-PionAbs-Scale 0.87 ± 0.07 1
MA is reasonably low
Scaling factors for single processes are compatible with nominal values
You can find the complete comparisons plots in the indico page
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Single datasets Single datasets
Datasets were fitted separately
Parameter Neutrino fit Anti-neutrino fit Global fit 2 MA (GeV/c ) 1.17 ± 0.02 1.26 ± 0.03 1.21 ± 0.02 QEL-CC-XSecScale 0.93 ± 0.01 0.97 ± 0.02 0.95 ± 0.02 RES-CC-XSecScale 0.86 ± 0.05 0.98 ± 0.09 1.02 ± 0.05 MEC-FracCCQE 0.85 ± 0.03 0.7 ± 0.1 0.53 ± 0.08 FSI-PionMFP-Scale 0.87 ± 0.02 1.39 ± 0.03 0.75 ± 0.04 FSI-PionAbs-Scale 1.51 ± 0.03 0.7 ± 0.1 0.87 ± 0.07
Fit Results Neutrino fit Anti-neutrino fit Global fit Nominal Values 2 Miniboone νµ χ 152 / 137 171 / 137 138 / 137 441 / 137 2 MiniBooNE ν¯µ χ 60 / 78 32.4 / 78 36.2 / 78 50.4 / 78 T2K χ2 237 / 67 276 / 67 252 / 67 135 / 67 2 MINERvA νµ χ 6.11 / 8 8.07 / 8 7.79 / 8 17.5 / 8 2 MINERvA ν¯µ χ 8.19 / 8 11.5 / 8 5.7 / 8 6.23 / 8 Global dataset χ2 463 / 292 499 / 292 440 / 292 650 / 298
MA and cross section scale factors are in good agreement FSI parameters are not The agreement with data is reasonable Better than original model
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Single datasets T2K effect on the fit
T2K ND280 data are complicated Tensions Correlations ⇒ anti-intuitive
T2K ND280 data can not even be fitted by their own with the current model ⇒ χ2 = 127/61
T2K fit results are not compatible with other dataset 2 ⇒ χ = 1023/137 vs MiniBooNE νµ CCQE ⇒ χ2 = 1567/292 vs whole fitted dataset
global fit can suffer from this Effect is clear discrepancy in low momentum muons Tµ < 400 MeV
No reason to remove this dataset from the fit Their effort on the error estimation should be praised 31 / 38 Introduction Genie CC 0π tuning Analysis Conclusion
Single datasets T2K effect on the fit
T2K ND280 data are complicated Tµ ∈[0.2; 0.3 ] GeV Tensions /GeV/n] 2 1 Correlations ⇒ anti-intuitive cm -38 [10 µ T ∂ / µ T2K ND280 data can not even be fitted by their own θ
Cos 0.5 ∂ )/ with the current model π CC 0 µ
2 ν ( σ
⇒ χ = 127/61 2 ∂ 0 −1 −0.5 0 0.5 1
miniboone_nuccqe_2010 Cosθµ
trunk:G16_01b:miniboone_fhc χ2 = 156/20 DoF
T2K fit results are not compatible with other dataset χ2 trunk:GlobalFit:miniboone_fhc = 31.4/20 DoF 2 ⇒ χ = 1023/137 vs MiniBooNE νµ CCQE Tµ ∈[0.3; 0.4 ] GeV 2 1.5
⇒ χ = 1567/292 vs whole fitted dataset /GeV/n] 2 cm -38
[10 1 µ T
global fit can suffer from this ∂ / µ θ Cos
Effect is clear ∂ )/ 0.5 π CC 0
discrepancy in low momentum muons µ ν ( σ 2 Tµ < 400 MeV ∂ 0 −1 −0.5 0 0.5 1
miniboone_nuccqe_2010 Cosθµ No reason to remove this dataset from the fit trunk:G16_01b:miniboone_fhc χ2 = 68.7/20 DoF trunk:GlobalFit:miniboone_fhc χ2 = 34.2/20 DoF Their effort on the error estimation should be praised 32 / 38 Introduction Genie CC 0π tuning Analysis Conclusion
Best fit plots
Best fit - MiniBooNE νµ CCQE
Cosθµ ∈[0.8; 0.9 ] Cosθµ ∈[0.9; 1 ] /GeV/n] /GeV/n] 2 2 cm cm
-38 2 -38 2 [10 [10 µ µ T T ∂ ∂ / / µ µ θ θ Cos Cos
∂ ∂ 1
)/ 1 )/ π π CC 0 CC 0 µ µ ν ν ( ( σ σ 2 2 ∂ 0 ∂ 0 0.5 1 1.5 2 0.5 1 1.5 2
Tµ [GeV] Tµ [GeV] miniboone_nuccqe_2010 miniboone_nuccqe_2010
trunk:G16_01b:miniboone_fhc χ2 = 37.3/16 DoF trunk:G16_01b:miniboone_fhc χ2 = 95.8/18 DoF
trunk:GlobalFit:miniboone_fhc χ2 = 3.08/16 DoF trunk:GlobalFit:miniboone_fhc χ2 = 15.3/18 DoF
Fit has a big impact
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Best fit plots
Best fit - MiniBooNE ν¯µ CCQE
Cosθµ ∈[0.6; 0.7 ] Cosθµ ∈[0.7; 0.8 ]
0.4 0.6 /GeV/n] /GeV/n] 2 2 cm cm
-38 0.3 -38
[10 [10 0.4 µ µ T T ∂ ∂ / / µ µ
θ 0.2 θ Cos Cos ∂ ∂
)/ )/ 0.2 π π 0.1 CC 0 CC 0 µ µ ν ν ( ( σ σ 2 2 ∂ 0 ∂ 0 0.5 1 1.5 2 0.5 1 1.5 2
Tµ [GeV] Tµ [GeV] miniboone_nubarccqe_2013 miniboone_nubarccqe_2013
trunk:G16_01b:miniboone_rhc χ2 = 6.28/8 DoF trunk:G16_01b:miniboone_rhc χ2 = 9.62/9 DoF
trunk:GlobalFit:miniboone_rhc χ2 = 2.37/8 DoF trunk:GlobalFit:miniboone_rhc χ2 = 3.22/9 DoF
Improvement not really necessary in this case
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Best fit plots Best fit - MINERvA Neutrinos Antineutrinos
2003-2017, GENIE - http://www.genie-mc.org 2003-2017, GENIE - http://www.genie-mc.org
1.5 /proton] 2 /neutron] 2 1 /GeV 2
/GeV 1 2 cm cm -38
-38 0.5 0.5 [10 [10 2 QE 2 QE /dQ /dQ σ
σ 0 d 0 d 0 0.5 1 1.5 2 0 0.5 1 1.5 2 2 2 2 2 MINERvAExDataCCQEQ2 QQE [GeV ] MINERvAExDataCCQEQ2 QQE [GeV ]
trunk:G16_01b:minerva_numu_2013 χ2 = 17.5/8 DoF trunk:G16_01b:numubar_2013 χ2 = 6.23/8 DoF
trunk:GlobalFit:minerva_numu_2013 χ2 = 7.79/8 DoF trunk:GlobalFit:numubar_2013 χ2 = 5.7/8 DoF ⇒ "Eye evaluation" would prefer default model
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Best fit plots Best fit - T2K ND280
Bin ∈ [ 48; 53 ] 1 /GeV/n] 2 cm -38 [10 µ
P 0.5 ∂ / µ θ Cos ∂ / σ 2 ∂ Cos Cos Cos Cos Cos Cos θ θ θ θ θ θ 0 µ = 0.96 P µ = 0.96 P µ = 0.96 P µ = 0.96 P µ = 0.96 P µ = 0.96 P agreement with t2k has worsened µ = 0.45 GeV µ = 0.55 GeV µ = 0.65 GeV µ = 0.75 GeV µ = 0.9 GeV µ = 1.125 GeV
t2k_nd280_numucc0pi_2015 trunk:G16_01b:t2k_nd280_numu_fhc χ2 = 5.47/6 DoF not surprising trunk:GlobalFit:t2k_nd280_numu_fhc χ2 = 8.1/6 DoF ⇒ it happened also with models Bin ∈ [ 54; 59 ] /GeV/n] 2 0.3
2 cm
χ : 135 → 252 / 67 DoF -38 [10
µ 0.2 P ∂ / µ θ 0.1 Cos ∂ / σ 2 ∂ Cos Cos Cos Cos Cos Cos θ θ θ θ θ θ 0 µ = 0.96 P µ = 0.96 P µ = 0.96 P µ = 0.96 P µ = 0.99 P µ = 0.99 P
µ = 1.375 GeV µ = 1.75 GeV µ = 2.5 GeV µ = 16.5 GeV µ = 0.25 GeV µ = 0.55 GeV
t2k_nd280_numucc0pi_2015 trunk:G16_01b:t2k_nd280_numu_fhc χ2 = 6.66/6 DoF trunk:GlobalFit:t2k_nd280_numu_fhc χ2 = 12.3/6 DoF
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Possible improvements Next steps
More datasets: Bubble chamber CCQE data
Why not fitting MA all together? Data are in our database (see introduction)
inclusive cross sections avoid fit results to go in not physical regions
Fit of new models Full Nieves Model - G16_02b ...
Find a way to estimate correlations for MiniBooNE Nuisance parameters
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Conclusions Conclusion
We are renewing Genie new models Easy comparisons with Cross section Data ⇒ Quantitative Deployed in Genie v3 and v4
We have a very powerful fitting machinery Proved to work This is not an exercise
We hope that these tools will improve theory / experiments collaboration
38 / 38 Single datasets
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39 / 38 Single datasets
Backup slides
40 / 38 Single datasets
MiniBooNE Single datasets - MiniBooNE
Parameter Miniboone νµ fit MiniBooNE ν¯µ MiniBooNE Global fit 2 MA (GeV/c ) 1.10 ± 0.03 1.25 ± 0.03 1.17 ± 0.02 QEL-CC-XSecScale 1.12 ± 0.02 0.99 ± 0.03 1.05 ± 0.02 RES-CC-XSecScale 0.69 ± 0.06 0.9 ± 0.1 0.68 ± 0.06 MEC-FracCCQE 0.43 ± 0.07 0.63 ± 0.03 0.33 ± 0.08 FSI-PionMFP-Scale 0.95 ± 0.03 1.39 ± 0.04 0.99 ± 0.06 FSI-PionAbs-Scale 1.17 ± 0.07 0.8 ± 0.2 1.08 ± 0.09
2 Fit Results Miniboone νµ fit MiniBooNE ν¯µ fit MiniBooNE Global fitGlobal χ 2 Miniboone νµ χ 121 / 131 153 / 137 124 / 137 2 MiniBooNE ν¯µ χ 60.4 / 78 29 / 72 40.3 / 78 T2K χ2 298 / 67 279 / 67 271 / 67 2 MINERvA νµ χ 11.4 / 8 10.6 / 8 9.17 / 8 2 MINERvA ν¯µ χ 16.3 / 8 11.7 / 8 10.4 / 8 Global dataset χ2 507 / 292 483 / 292 455 / 292
41 / 38 Single datasets
T2K
Single datasets - T2K ND280 νµ 0π
Parameter T2K fit T2K fit - no corr T2K fit with priors 2 MA (GeV/c ) 0.75 ± 0.04 1.03 ± 0.13 QEL-CC-XSecScale 0.90 ± 0.02 1.11 ± 0.04 RES-CC-XSecScale 1.2 ± 0.1 1.500 ± 0.001 MEC-FracCCQE 0.36 ± 0.09 0.3 ± 0.1 FSI-PionMFP-Scale 0.81 ± 0.05 1.1 ± 0.1 FSI-PionAbs-Scale 1.1 ± 0.1 1.54 ± 0.08
Fit Results T2K fit T2K fit - no corr 2 Miniboone νµ χ 1023 / 137 / 137 2 MiniBooNE ν¯µ χ 367 / 78 / 72 T2K χ2 127 / 61 / 61 2 MINERvA νµ χ 26.1 / 8 / 8 2 MINERvA ν¯µ χ 23.5 / 8 / 8 Global dataset χ2 1567 / 292 / 292
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MINERvA Single datasets - MINERvA
Parameter MINERvA νµ fit MINERvA ν¯µ MINERvA Global fit 2 MA (GeV/c ) 1.16 ± 0.10 1.2 ± 0.1 1.20 ± 0.08 QEL-CC-XSecScale 0.81 ± 0.04 0.83 ± 0.03 0.84 ± 0.04 RES-CC-XSecScale 1.2 ± 0.2 0.7 ± 0.3 1.1 ± 0.1 MEC-FracCCQE 0.7 ± 0.2 0.07 ± 0.08 0.6 ± 0.1 FSI-PionMFP-Scale 1.3 ± 0.1 0.9 ± 0.3 1.2 ± 0.2 FSI-PionAbs-Scale 0.8 ± 0.2 1.2 ± 0.3 0.8 ± 0.3
Fit Results MINERvA νµ fit MINERvA ν¯µ fit MINERvA Global fit 2 Miniboone νµ χ / 131 / 137 220 / 137 2 MiniBooNE ν¯µ χ / 78 / 72 97.2 / 78 T2K χ2 / 67 / 67 184 / 67 2 MINERvA νµ χ / 2 / 8 6.49 / 8 2 MINERvA ν¯µ χ / 8 / 2 3.26 / 8 Global dataset χ2 / 292 / 292 511 / 292
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