Neutrino interaction at K2K

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Neutrino interaction at K2K KEK Yoshinari Hayato for the K2K collaboration Contents Introduction Neutrino flux measurements and neutrino interaction studies in K2K Charged current quasi-elastic scattering and the other charged current interactions Neutral current π 0 productions New SciBar detector Summary

Introduction νµ energy spectrum K2K Neutrino beam @ K2K near detector Eν ~ 1GeV Almost pure νµ beam (~98%) It is possible to investigate various neutrino interactions with the K2K near detectors. Muon range detector Target material Water (H,O) Eν (GeV) 1kt water Cherenkov detector SciFi detector Scintilator (H,C) SciBar detector Iron MRD

Introduction Neutrino interactions around 1GeV region σ/e (10-38 cm 2 /GeV) Charged current quasi-elastic scattering (CCQE) Neutral current elastic scattering Single π,η,k resonance productions Coherent pion productions Deep inelastic scattering Cross-sections CC Total CC quasi-elastic NC single π 0 Total (NC+CC) DIS CC single π E ν (GeV) ν µ + n ν µ + N ν µ + N ν µ +O ν µ + N µ - + p ν + N l + N + π (η,k) l + X + π l + N + mπ (η,k) (l : lepton, N,N : nucleon, m : integer) It is also important to take into account nuclear effects. Mesons (especially π) and protons interactions in target nucleus. (Oxygen, Carbon..)

Neutrino flux measurements and neutrino interaction studies at K2K Charged Current Quasi-Elastic scattering (ν µ + n µ - + p) is very useful to measure the energy spectrum of neutrino. For the neutrino energy spectrum measurements, we also changed the neutrino interaction models and parameters (CCQE, Single π, coherent π, DIS..) and search for the best combination. Fit the momentum and direction of µ. Study the neutrino interactions

Neutrino flux measurements and neutrino interaction studies at K2K 1) 1kt water Cherenkov detector 4π detector Possible to distinguish forward going particles from backward going particles. Momentum threshold of proton ~1.2GeV/c Use 1ring µ-like events Fraction of quasi-elastic scattering event ~50% Efficiency is getting smaller @ P µ > 1GeV/c 2) SciFi detector Possible to identify quasi-elastic scattering events by using the proton tracks a) 1track sample (CCQE ~60%, 1π ~30%) b) 2track CCQE sample (CCQE ~60%, 1π ~30%) c) 2track non-ccqe sample (CCQE ~15%, 1π ~51%, DIS ~ 25%, Coh.π ~7%)

Neutrino flux measurements and neutrino interaction studies at K2K Observation: Number of forward going particle is smaller than expected. (Deficit in the small q 2 region) Charged current quasi-elastic scattering M A =1.1GeV/c 2 Single π production M A =1.1GeV/c 2 (1.2GeV/c 2 ) DIS correction (Suggested by A. Bodek and U. K. Yang.) Nucl.Phys.Proc.Suppl.112:70-76,2002 This correction to PDF suppress small q 2 interactions. Coherent π production cross-section µ from coherent π production Forward peaking Use the calculation done by Marteau. σ is ~30% smaller in the low energy region compared to the calculation by Rein & Sehgal.

Charged current quasi-elastic scattering Larger M A value (~ 1.1 GeV/c 2 ) was favored. 1ring µ-like sample (from the 1kt detector) The number of backward going µ agrees well if we take M A =1.1GeV/c 2. (The backward going region is dominated by CCQE events) 1ring µ-like events CC Coherent π CC 1π Others DIS(CC) Backward going(>90 o ) Monte-Carlo 1ring µ-like events (CCQE only) M A =1.01 Backward going(>90 o ) CCQE(M A =1.1) Direction of µ (degree) M A =1.1 Direction of µ (degree)

Reconstructed q 2 distributions [SciFi detector] Single track sample Without DIS correction coherent π production cross-section Rein&Sehgal ( relative normalization σ(nqe)/σ(qe) = 0.86 ) Fit neutrino flux & nonqe QE ratio for each combinations With DIS correction coherent π production cross-section Marteau ( relative normalization σ(nqe)/σ(qe) = 1.04 ) 2trk non-qe sample Including these corrections, fit results get better but still some discrepancies exist in the small q 2 region.

Further study of coherent π productions w/scifi In order to select the coherent π production events, apply PID to the second tracks. (Use de/dx difference between p and π.) Efficiency(%) number of events 160 140 120 100 80 60 40 20 0 pion miss-id prob. ~15% p Likelihood distriubution of 2nd track(nqe) 0 0.2 0.4 0.6 0.8 1 Likelihood Proton PID efficiency ~85% π Coherent π production number of events miss -reconstructed 100 80 60 40 20 2track non-qe samples number of events 50 40 Q2 2nd track nqe(25deg) LPI0.1 30 20 10 Q2 2nd track nqe(25deg) LPI0.1 0 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2 Q 2 (GeV/c) 2 2nd track : π 0 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2 Q 2 (GeV/c) 2 (Need to optimize the reconstruction tools.) 2nd track : p

NC π 0 measurements in 1kt detector Neutral current single π 0 production ν + N ν + N + π 0 Observable in 1kt : π 0 (Cherenkov threshold of proton > 1GeV/c) 2 γs from π 0 are identified as 2 electron like rings reconstruct invariant mass NUM 14 RUN 2340 SPIL 41875 SUBRUN 1 EVENT 1368 DATE **-Feb- 4 TIME 10:53: 3 TOT PE: 2844.8 MAX PE: 67.9 NMHIT : 467 ANT-PE: 1.3 ANT-MX: 0.6 reconstructed invariant mass Data Monte-Carlo 90/00/00:NoYet:NoYet 90/00/00:NoYet:NoYet 90/00/00:NoYet:NoYet 90/00/00:NoYet:NoYet 90/00/00:NoYet:NoYet 90/00/00:;R= 0:NoYet R : Z : PHI : GOOD 0.00: 0.00: 0.00:0.000 CANG : RTOT : AMOM : MS TRG ID :00000001 TMC Ch1:TMC Ch2:TMC Ch 0.21: 0.26: 0.88 T diff.: 0. us Q thr. : 0.0 SUB EV : 0/ 0 Comnt; Typical π 0 candidate

NC π 0 measurements in 1kt detector 1kt water Cherenkov detector has high efficiency in finding low energy π 0. π 0 sample selection criteria 2 e-like rings reconstructed mass 85~215MeV/c 2 detection efficiency of π 0 ~49% 86% from NC interactions (~60% from NC resonance meson production) Contamination from charged current low momentum µ (Pµ < 200MeV/c) can not be identified. Pions generated in Oxygen interacts with nucleons. (Inelastic scatterings, charge exchange and absorption in Oxygen are considered in Monte-Carlo simulation program)

NC π 0 measurements in 1kt detector momentum and direction of π 0 Backward Forward Both distributions agree quite well with Monte-Carlo. Still some discrepancies exist in the momentum distributions. (250~350MeV/c, 350~750MeV/c)

NC π 0 measurements in 1kt detector Cross-section of NC π 0 production Use single ring µ-like events as a reference. π 0 µ 25t fiducial ( r<2m, -2m<z<0m) 2 ring FC events, both e-like M γγ = 85 215 MeV/c 2 K2K Data set : 3.2E19 POT π 0 1-R FC µ π 0 /µ Data 2496 22612 0.110 2% 8% Detector systematic Particle ID Ring counting, etc.. (stat) (sys) 25t fiducial ( r<2m, -2m<z<0m) 1 ring FC events, µ-like GOOD Agreement! MC(*) 2582.3 22545.2 0.115 ~30% (sys) Neutrino interaction model NC/CC ratio Secondary interactions of π, etc.. The error was reduced by this measurement (*) Same version for the oscillation analysis paper. normalized by number of total events in 25t fiducial

New neutrino detector SciBar Installed in the summer 2003 Full Active tracking detector Extruded scintillator with WLS fiber readout Cell size : 2.5 x 1.3 x 300cm 3 Light yield :7~20p.e. /MIP/cm (2 MeV) reconstruct vertex identify the interaction High efficiency even for the short tracks Can detect low momentum protons down to ~350 MeV/c. PID (p/π) & momentum measurement by de/dx. Extruded scintillator (15t) Multi-anode PMT (64 ch.) Wave-length shifting fiber ν 3m 3m EM calorimeter 1.7m

Event observed by the SciBar detector Charged current quasi-elastic event candidate Size of each circle proportional to the ADC count. ~ energy deposit in each cell. de/dx for the shorter track is larger proton like. p Top view µ p Expected # of interactions (all interactions) Expected # of CCQE interactions Side view ~45k ( 3 x 10 19 pot ) ~12k ( 3 x 10 19 pot ) µ

Performance of the SciBar detector PID (p/π) momentum measurement by de/dx ~ Pulse height. Results from the beam test p/πmiss ID probability less than 20% below 1.2GeV/c Momentum reconstruction of proton by de/dx p/p within 10% 20 (using 10cm of de/dx) Low momentum (short track) proton identification High efficiency in finding/identifying the low energy CCqe events 1 π 1GeV/c p 0 Mean pulse height 100 Miss ID probability (10cm sampling) 10-1 0.4 0.8 1.2 (GeV/c)

Performance of the SciBar detector proton momentum reconstruction

Summary K2K near neutrino detectors accumulated large number of neutrino events around 1GeV. We have studied the neutrino interaction models and their parameters. The overall agreements between the data and Monte-Carlo simulations are quite well. Still, some discrepancies are observed. (Especially in the small reconstructed q 2 region.) Lead Glass detector has been removed (Summer 2002) and the new detector SciBar was installed (Summer 2003). Possible to lower the energy threshold for the quasi-elastic scattering events. Investigate other neutrino interactions more in detail.