Porównanie NuWro z danymi z eksperymentów T2K and MINERvA dla zdarze«cc0π

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Porównanie NuWro z danymi z eksperymentów T2K and MINERvA dla zdarze«cc0π Jan T. Sobczyk Uniwersytet Wrocªawski Zakªad Fizyki Neutrin, 18 grudnia 2017 r. 1 / 41

NuWro validation On-going NuWro validation eort. Focus on CC0π measurements of T2K and MINERvA. Goal: identication of areas of necessary/possible improvements. For a moment NuWro scripts, in the future NUISANCE machinery will be used. A NuWro version 17.09 is used (LFG+RPA). Future NuWro upgrades will be compared to the same data set. Everything in this talk is preliminary and should be conrmed by NUISANCE machinery! 2 / 41

Data T2K MINERvA CC0π muon double dierential cross section on CH target [PRC93]. CC0π muon double dierential cross section on water target [arxiv:1708.06771]. CC 0π dierential cross section in transverse kinematics variables (one muon and one proton sample) [presented at NuInt17 by Stephen Dolan]. Proton multplicity [presented at NuInt17 by Stephen Dolan] CCQE-like d 2 σ/dp L dp T for ν µ, ν µ [Daniel, Heidi] CC d 2 σ/dqde avail for ν µ and ν µ [PRL 116 (2016) 071802] (inclusive but very useful) CCQE-like ratios C, Fe, Pb wrt CH (PRL119) 3 / 41

NuWro 17.09 CCQE LFG RES RPA based on K. Graczyk, JTS, Eur.Phys.J. C31 (2003) 177-185 M A = 1.03 GeV W < 1.6 GeV Smooth (linear) transition to DIS at W (1.3, 1.6) GeV LFG Explicit plus BKGR added incoherently C. Juszczak, J. Nowak, JTS, Nucl. Phys. Proc. Suppl. 159 (2006) 211-216 For nuclear target reactions a fraction of events is subtracted motivated by Oset et al studies JTS, J. muda, Phys.Rev. C87 (2013) 065503 π angular distribution from ANL and BNL papers. 4 / 41

NuWro 17.09 MEC Nieves et al model Implementation by J. muda with ve tabularized response function. Nucleons modeled with phase space model JTS, Phys.Rev. C86 (2012) 015504 Cascade model 85% initial p-n pairs Uniform distribution in nucleon CMF. Pions, nucleons. 0.2 fm steps. For pions Oset et al model T. Golan, C. Juszczak, JTS, Phys.Rev. C86 (2012) 015505. For nucleons in-medium modication of NN cross sections V.R. Pandharipande, S.C. Pieper, Phys.Rev. C45 (1992) 791-798 DIS, coherent pion production irrelevant for CC0π. 5 / 41

CC0π/CCQE-like 6 / 41

T2K CC0π double dierential cross section on water arxiv:1708.06771 [hep-ex] NuWro above the data at small muon angles. NuWro below the data at large muon angles. Bins where data/mc discrepancy is observed (complete results in back-up slides). 7 / 41

T2K CC0π double dierential cross section on water (cont.) There is also a large data/mc normalization discrepancy. The integration phase space: cos θ µ > 0, p muon < 5 GeV/c. Data: 9.5 ± 1.3 10 39 cm 2 /neutron. NuWro: 6.78 10 39 cm 2 /neutron. NEUT and GENIE results very close to NuWro (6.6 or 6.8). The discrepancy comes almost entirely from the most backward muon bin cos θ µ (0.0, 0.6) where NuWro predicts 2.43 and the data is 4.59 in the units of 10 39 cm 2 /neutron. There is also a large discrepancy in the next bin cos θ µ (0.6, 0.7) but a contribution to the overall cross section is much smaller. 8 / 41

T2K CC0π double dierential cross section on CH Phys.Rev. D93 (2016) 112012 There are two sets of results: full phase space (analysis I) and restricted phase space (analysis II). Restricted phase space dened as: cos θ µ > 0.6, p µ > 600 MeV/c. 9 / 41

T2K CC0π double dierential cross section on CH analysis II - χ 2 study. We add statistical tools using covariance matrix M cov. 83 χ 2 = (σ j NuWro σj T 2K )M 1 cov jk (σk NuWro σt k 2K ). j,k=1 χ 2 103.2, NDoF = 96 One can also calculate χ 2 separately for 8 cosine bins (all with 12 data points). Results are: 2.8, 10.7, 12.2, 15.7, 12.0, 9.0, 6.7. Normalization comparisons. Analysis II: data 2.03 10 39 cm 2 /nucleon; NuWro 2.02 10 39 cm 2 /nucleon. The agreement is very good. A complete set of gures in back-up slides. 10 / 41

T2K CC0π double dierential cross section on CH (analysis I) In general, the agreement is fair, at least on eye... χ 2 = 185.6, NDoF=67 Sara Bolognesi: not bad! Integrated cross section (per nucleon): NuWro: 3.92 10 39 cm 2 /nucleon Data: 4.60 10 39 cm 2 /nucleon Paper: (4.17 ± 0.47 ± 0.05) 10 39 cm 2 /nucleon A signicant part of normalization discrepancy comes again from the most backward bin (0.75 wrt 1.05 in the units of 10 39 ) with a large systematic error. All the results on back-up slides. 11 / 41

T2K CC0π oxygen wrt carbon A message I from water measurement: NuWro below the data at large muon angles. Do we see the same on carbon? Oxygen left; carbon right For carbon the cross section a decit is not conclusive, but a tendency is perhaps there for lowest muon momenta?... 12 / 41

T2K CC0π oxygen wrt carbon A message II from water measurement: NuWro above the data at small muon angles. Do we see the same on carbon? Oxygen left; carbon right For carbon the cross section a surplus is not conclusive, but a tendency is perhaps there for muon momenta 500-1000 MeV/c?... 13 / 41

If a problem is there, which interaction modes are responsible? On the left: CCQE is too small! On the top CCQE too large? (no room for MEC) A breakdown for CH results will look almost the same. 14 / 41

T2K 0π suspicious bins kinematical study What is kinematical characteristic of bins where the data/mc tension is seen? We need a universal language in which tensions from distinct experiments can be discussed. We try to identify a region in energy and momentum transfer (q, ω) plane. A limitation is that disagreement may come from either transverse or longitudinal components and their ratio depends on neutrino energy. With NuWro one can easily identify (q, ω) of CCQE and MEC events in particular bins. 15 / 41

T2K 0π suspicious bins kinematical study (cont) CCQE hypothesis MEC hypothesis Line: QE peak. Lines: QE and peak. Blue: decit of events in NuWro. Red: excess of events in NuWro. A structure is there. If the problems comes from MEC dynamics, the information less certain. 16 / 41

MINERvA recoil energy [PRL 116 (2016) 071802] These are inclusive data but (hopefully) one can identify CCQE, MEC, RES regions separately. 17 / 41

MINERvA recoil energy (cont) The agreement is fair To be fully compared with Patrick Stowell computations (a few derences are there). NuWro is below the data at q (400, 800) MeV/c and E avail 150..200 MeV NuWro results shifted to the right? A bias in reconstruction of q3? A decit of events? NuWro is below the data q (200, 400) MeV/c and E avail 50 MeV 18 / 41

MINERvA recoil energy my conclusions If we treat E avail as a proxy for energy transfer, the conclusions may be: NuWro is below the data in the region of small energy and momentum transfer: q (200, 400) MeV/c, ω 40 MeV. This stands in contradiction to the T2K results NuWro is below the data for (q, ω) (450, 150), (550, 50 200), (700, 100 250). This may be consistent with the T2K results! 19 / 41

MINERvA recoil energy GENIE t Based on the MINERvA results, an enhancement in MEC was proposed by Phil: q = 508 ± 129, ω = 254 ± 57 It seems to be consistent with T2K! The contour shows region where rescaling is 100%. 20 / 41

MINERvA CC0π pt, pl on CH ν µ A signicant dierence in normalization. After a discussion with Daniel I applied 1.039 rescaling factor to NuWro results. 21 / 41

MINERvA CC0π pt, pl on CH ν µ Much better agreement with the normalization. 22 / 41

Data/MC discrepancies MINERvA Two major players: CCQE and MEC. It is unlikely that RES is underestimated by a factor of 2. Always a large MEC contributions should be even larger?! 23 / 41

Data/MC discrepancies MINERvA The rst issue is normalization. NuWro is below the data in a wide kinematical region! The exception is p L (4, 6) GeV/c. How much? Overall rescaling factor is 1.20. In particular bins it diers from 1.42 (largest p L ) to only 1.02 (intermediate p L ). A surprising fact: kinematical characteristics of CCQE and (to some degree) MEC events in dierent p L in the p T peak region are quite similar. CCQE p L (15, 20) p T (0.4, 0.475) q 466 ± 30 MeV/c, ω 140 ± 50 MeV p L (4, 4.5) p T (0.4, 0.475) q 473 ± 32 MeV/c, ω 147 ± 52 MeV p L (1.5, 2) p T (0.4, 0.475) q 487 ± 36 MeV/c, ω 156 ± 54 MeV MEC p L (15, 20) p T (0.4, 0.475) q 573 ± 126 MeV/c, ω 342 ± 194 MeV p L (4, 4.5) p T (0.4, 0.475) q 639 ± 186 MeV/c, ω 403 ± 258 MeV p L (1.5, 2) p T (0.4, 0.475) q 735 ± 185 MeV/c, ω 512 ± 238 MeV 24 / 41

Data/MC discrepancies MINERvA Problems with CCQE cannot explain this pattern! If MEC enhancement stands behind the discrepancy then we need a lot of extra MEC strength at q 573 ± 126 MeV/c, ω 342 ± 194 MeV and very little extra MEC strength at q 639 ± 186 MeV/c, ω 403 ± 258 MeV Is that possible?! 25 / 41

Data/MC discrepancies MINERvA Events in distinct p L bins come from mostly separated ν energies: CCQE p L (15, 20) p T (0.4, 0.475) E 17.2 ± 1.2 GeV p L (4, 4.5) p T (0.4, 0.475) E 4.4 ± 0.1 MEC p L (15, 20) p T (0.4, 0.475) E 18.2 ± 1.5 p L (4, 4.5) p T (0.4, 0.475) E 4.7 ± 0.3 Discrepancies between various p L bins could be easily explained by ux shape error!!! 26 / 41

Including protons in the game... 27 / 41

CC 0π dierential cross section in transverse variables Denition of transverse (wrt neutrino ux) variables. from Stephen Dolan presentation at NuInt17 28 / 41

CC 0π dierential cross section in transverse variables T2K selection: CC0π muon momentum > 250 MeV/c cosine of muon angle > 0.6 leading proton momentum (450, 1000) MeV/c cosine of leading proton angle > 0.4. Muon selection includes a region of tha data/nuwro normalization discrepancy. Results on the next slide from the Stephen Dolan presentation at NuInt17. 29 / 41

CC 0π STV T2K. Stephen Dolan: SF leads to better agreement. NuWro is 19-24% above the data, surprising! Need more proton reinteractions?! In fact, NuWro proton transparency seems to be too large by 10% (ongoing study). 30 / 41

Transverse variables MINERvA We are still checking overall normalization with Xianguo!... 31 / 41

Summary 1 There is a lot of interesting data to be used as benchmark for MC event generators. 32 / 41

Summary 2 NuWro/T2K normalization discrepancy at large muon angles. Some data suggest NuWro/T2K/MINERvA agreement on MEC enhancement Dicult to understand a pattern of NuWro/MINERvA agreement/disagreement at various p L Interesting to look for NuWro/T2K/MINERvA for STV measurement/predictions (sorry, not ready yet). 33 / 41

Back-up slides 34 / 41

T2K CC0π double dierential cross section on water arxiv:1708.06771 [hep-ex] NuWro below the data at large muon angles. 35 / 41

T2K CC0π double dierential cross section on water (cont) NuWro above the data at small muon angles. 36 / 41

T2K CC0π double dierential cross section on CH (analysis II) 37 / 41

T2K CC0π double dierential cross section on CH (analysis II, cont) The agreement is good. 38 / 41

T2K CC0π double dierential cross section on CH (analysis I) 39 / 41

T2K CC0π double dierential cross section on CH (analysis I, cont) 40 / 41

T2K CC0π double dierential cross section on CH (analysis I, cont) In general, the agreement is fair. χ 2 = 185.6, NDoF=67 Integrated cross section (per nucleon): NuWro: 3.92 10 39 cm 2 /nucleon Data: 4.60 10 39 cm 2 /nucleon Paper: (4.17 ± 0.47 ± 0.05) 10 39 cm 2 /nucleon A signicant part of normalization discrepancy comes from the most backward bin (0.75 wrt 1.05 in the units of 10 39 ) 41 / 41