lecture 3. cc1πlaveder/unbound/... · cc1π+ intro • charged current single pion production •...
TRANSCRIPT
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Lecture 3. CC1π+
M.O. Wascko 45th Karpacz Winter School
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Lecture 3. CC1π+
• Introduction - discussion of processes
• Event kinematics and topologies
• Experimental Searches
• Event Selections
• Efficiencies and Systematics
• Extracted parameters
• Upcoming measurements
K2K (SciBar),
MiniBooNE, SciBooNE
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CC1π+ Intro
• Charged current single pion production
• Anything producing a charged lepton and one pion
• Second largest cross section at 1 GeV
• Conflicting measurements of cross section
• Many models for production
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πµ eνµ
12C??
Ne
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CC1π+ Intro
• Charged current single pion production
• Anything producing a charged lepton and one pion
• Second largest cross section at 1 GeV
• Conflicting measurements of cross section
• Many models for production
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πµ eνµ
12C??
Ne
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CC1π+ and Oscillations
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C. Walter, NuInt07
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CC1π+ and Oscillations
• CC1π+ events can create bias in oscillation parameter extraction
• Must reduce uncertainty in σ(CC1π+) from 20% to 5% for T2K
5
δ(sin2 2θ) δ(Δm2)
Δm
223 e
rror
K. Hiraide
stat. only δ(nQE/QE)= 5% δ(nQE/QE)=20%
W+
νµ
nπ+
n
µ-,e-
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CC1π+ Reconstruction
• Two approaches to neutrino energy reconstruction
• Simple:
• Assume QE kinematics with recoil Δ
• Better:
• Use observed pion and muon tracks to reconstruct energy
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π
MΔ2−Mp2+2MpEμ−mμ2
πN
µ
νµN
µ
νµ
Δ
N
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CC1π+ Agenda
• MiniBooNE CC1π+/CCQE inclusive
• NUANCE
• Rein-Sehgal Model
• K2K SciBar CC1π+/CCQE ratio
• NEUT
• Rein-Sehgal
• SciBooNE & K2K SciBar CC1π+ coherent search
• Rein-Sehgal model
• Future Work
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MiniBooNE CC1π+ Ratio
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MiniBooNE CC1π+
• CC1π+/CCQE first shown in 2005
• Since then, changed CCQE analysis and much of detector MC
• PRL draft now in circulation
• Should be released soon
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MiniBooNE CC1π+
C
Far Michel
Close Michel
µ-
pΔ++
µ+
π+
ν No Final State ID
Cuts
84% puritywith 1st level
cuts,bgnd from Nπ and QE
First Level of Cuts:● Neutrino-Induced Event Selection Cuts● exactly 3 sub-events● 2nd 2 sub-events consistent with Michel e- (20 < NPMT < 200)
Signal: νµ X → µ- Y π+ ....... µ- → e- νµ νe and π+ → µ+ νµ ....... µ+ → e+ νµ νe
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C
µ-
pΔ++
µ+
π+
ν
Neutrino subeventUse these hits to reconstruct neutrino propertiesFit for muon Cherenkov ring
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C
µ-
pΔ++
µ+
π+
ν
Close Michel
1st Michel e± subeventCould be from μ- or π+(μ+) decayIn this case, I’ve drawn it as e-
Distance from end of muon track
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C
Far Michel
µ-
pΔ++
µ+
π+
ν
Close Michel
2nd Michel e± subeventCan use Michel subevents to help understand the neutrino subevent
Distance from end of muon track
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Event Selection Validation● validate CCPiP event selection with µ+ and µ− lifetime measurement● separate Electrons from μ+ and μ- by distance to μ- track
● close: μ− capture (8%)
expect τ=2026±1.5 ns measure τ=2070±15.5 ns
● far: μ+: do not capture
expect τ=2197.03±0.04 ns measure τ=2242±17.3 ns
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Event reconstruction
CCπ+ total 86.8%
CCπ+ resonant (red) 80.9%CCπ+ coherent (dark blue) 5.9%
CCQE (dark green) 5.2%
Multi-pion (light purple) 3.8%CCπ0 (light green) 1.5%
DIS (light blue) 1.0%Other 1.6%
Reconstructed E_nu
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use measured µ visible energy and angle to reconstruct EνQE
W+
νµ
p
µ-
π+
EQE! =
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2mpEµ +m2"!m2
p!m2µ
Mp!Eµ + cos#µ
!E2
µ!m2µ
S. Linden
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Energy Unsmearing
Migration Matrix (CCQE) Unsmearing Matrix (CCQE)
Bin events by E_rec and E_true Normalize each E_rec bin
Avoids the problems of matrix inversion (which for this analysis was not viable).
Introduces bias from MC true energy distributions - net effect is increased systematic uncertainty.
S. Linden
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ResultsS. Linden
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Effective Ratio Measurement
The effective ratio is smaller than the true ratio because there is a significant number of CCQE-like CCπ+ events due to pion absorption.
Red: Effective measurementBlack: “True” measurement
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S. Linden
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Model Comparisons
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J. Nowak
χ2/ndf(Q2)=19.5(Hernandez),14.9(Lalakulich),55.1(G&S1),28.05(G&S2)
J. NowakNuInt07 DNP08
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Coherent pion searches
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Coherent pion production
Aνπ
ℓ
• Neutrino interacts with nucleons coherently, producing a pion
• No nuclear breakup occurs
Charged Current (CC): νμ+A→μ+A+π+
Neutral Current (NC): νμ+A→νμ+A+π0
•Interestingly theoretically because it requires large wavelength in massive propagator
Several past measurements
• both NC and CC
• both neutrino and antineutrino
• >2 GeV (NC), >7 GeV (CC) up to ~100 GeV
example diagram
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SignalCC-coherent π production
ν+C → μ+C+π+
•2 MIP-like tracks (a muon and a pion)
• ~1% of total ν interaction based on Rein-Sehgal model
BackgroundCC-resonant π production
• ν+p → μ+p+π+
• ν+n → μ+n+π+
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CC Coherent Pion Production
ν
µ
πp,n
often notreconstructed
Cνπ
µSmall Q2
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1 Detector in 2 Beams
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• Unique opportunity today to show the same search in two different neutrino beams using the same detector
SciBooNE K2K
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Neutrino Fluxes
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SciBooNE<Eν>~0.8GeV
K2K<Eν>~1.3GeV
Similar fluxes per POT
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μ+p
w/o activityw/ activity
>2track1track
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CC event classification
MRD-stoppedCC-coh-pi sample
Number of tracks
Particle identification
Energy depositaround the vertex
SciBar-MRD matched sample
MRD-stopped
2track
μ+π
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μ+p
w/o activityw/ activity
>2track1track
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CC event classification
MRD-stoppedCC-coh-pi sample
Number of tracks
Particle identification
Energy depositaround the vertex
SciBar-MRD matched sample
MRD-stopped
2track
μ+π
MRD-penetrated
Same selection
MRD-penetratedCC-coh-pi
sample
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Number of Tracks
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SciBooNE K2K
K.Hiraide M. Hasegawa
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Particle ID
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SciBooNE K2K
Muon enriched Proton enriched
K.Hiraide M. Hasegawa
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Untracked protons
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µ
π+p
12.5 cm
SciBooNE K2K
M. HasegawaK.Hiraide
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Tuning of MC
Q2 reconstruction assuming CC-QE (ν+n→μ+p) interaction
Eν
(Pµ,θµ)
p
µ
V: nuclear potential (27MeV)
To constrain systematic uncertainties due to
• detector responses
• nuclear effects
• neutrino interaction models
• neutrino energy spectrum
Q2 distributions of sub-samples are fitted to data
CC-QE
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Fitting parameters (1)
µ+πw/ activity
µ+πno activity
Ract
µ+pRp/π
µ+π
1-track
R2trk/1trk2-track
MRD-stopped sample
Normalization parameter: Rnorm
Migration parameters : R2trk/1trk, Rp/π, Ract
Muon momentum scale : Pscale
× Rnorm
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K2K After fit
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M. Hasegawa
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SciBooNE After Fit
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CC coherent π signalregion is excluded
from fitting
low Q2 region in μ+pevents is excluded
from fitting
Before fit : χ2/ndf = 473/75 = 6.31After fit : χ2/ndf = 117/67 = 1.75
1-track μ+p
μ+π with activity μ+π without activity
K.Hiraide
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Data excess in µ+pFeatures of excess events
• proton candidate goes at large angle
• additional activity around the vertex
Possible candidateCC resonant pion events in which pion
is absorbed in the nucleus
πp,n
ν µ
p Not simulated
In MC simulation,such events are
reconstructed as1-track events
K.Hiraide
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Rejecting QE events
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μν
pΔθp
CCQE
K. Hiraide
SciBooNE K2K
M. Hasegawa
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Events with a forward-goingPion candidate are selected
Resonant pion rejectionK. Hiraide
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CC coherent pion sample
MRD stopped sample<Eν>= 1.1 GeV
MRD penetrated sample<Eν>= 2.2 GeV
57 events selected
BG expectation40+/-2.2 events
Q2 < 0.1 (GeV/c)2
247 events selected
BG expectation228+/-12 events
113 events selected
BG expectation111.4+/-2.2 events
SciBooNE K2K
M. Hasegawa
K. Hiraide
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Cross section ratioTo reduce neutrino flux uncertainty, we measureσ(CC coherent π)/σ(CC) cross section ratio
CC coherent π CC inclusive
Effic
ienc
y
For denominator,CC inclusive samplesare chosen so thatthey cover similar
neutrino energy rangeas coherent π samples.
Effic
ienc
y
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ComparisonK2K (<Eν>=1.3 GeV)
SciBooNE (<Eν>=1.1 GeV)
K2K result (90% CL U.L.=m+1.28*σ) σ(CC coherent π)/σ(CC) < 0.60x10-2 for <Eν>=1.3 GeV
SciBooNE results (Bayesian 90% CL U.L.)σ(CC coherent π)/σ(CC) < 0.67x10-2 for <Eν>=1.1 GeV
< 1.36x10-2 <Eν>=2.2 GeV
SciBooNE results are consistent with K2K result
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ComparisonK2K (<Eν>=1.3 GeV)
SciBooNE (<Eν>=1.1 GeV) improved
K2K result (90% CL U.L.=m+1.28*σ) σ(CC coherent π)/σ(CC) < 0.60x10-2 for <Eν>=1.3 GeV
SciBooNE results (Bayesian 90% CL U.L.)σ(CC coherent π)/σ(CC) < 0.67x10-2 for <Eν>=1.1 GeV
< 1.36x10-2 <Eν>=2.2 GeV
SciBooNE results are consistent with K2K result
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ComparisonK2K (<Eν>=1.3 GeV)
SciBooNE (<Eν>=1.1 GeV) improved slightlyimproved
K2K result (90% CL U.L.=m+1.28*σ) σ(CC coherent π)/σ(CC) < 0.60x10-2 for <Eν>=1.3 GeV
SciBooNE results (Bayesian 90% CL U.L.)σ(CC coherent π)/σ(CC) < 0.67x10-2 for <Eν>=1.1 GeV
< 1.36x10-2 <Eν>=2.2 GeV
SciBooNE results are consistent with K2K result
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SciBooNE Systematics
MRD stoppedError (x10-2)
MRD penetratedError (x10-2)
Detector response +0.10 / -0.18 +0.18 / -0.18
Nuclear effect +0.20 / -0.07 +0.19 / -0.09
Neutrino interaction model +0.17 / -0.04 +0.08 / -0.04
Neutrino beam +0.07 / -0.11 +0.27 / -0.13
Event selection +0.07 / -0.14 +0.06 / -0.05
Total +0.30 / -0.27 +0.39 / -0.25
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Discussion
Rein-Sehgalw/ lepton mass correction
(Our default model)
Alvarez-Ruso et al.
Singh et al.
Measured upper limits on σ(CC coherent π)/σ(CC) ratiosare converted to upper limits on absolute cross sections
by using σ(CC) predicted by MC simulation
SciBooNE 90% C.L.
Other measurements athigher neutrino energyComparison with theoretical models
assuming• A2/3 dependence• σ(CC coh)=2*σ(NC coh)
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K2K SciBar CC1pi
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Method and Goals
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L. Whitehead, NuInt07
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Event Selection
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A. Rodriguez
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A. Rodriguez
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Fitting procedure
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i=pµ,θµ binsj=data samples
α, RCC1π+, ROtherNonQE, Psc
are free parameters in fit
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Results
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A. Rodriguez
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Systematics
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References
• MiniBooNE CC1π/CCQE
• NuInt05 & NuInt07 proceedings
• hep-ex/0602050
• SciBooNE CC coherent pi
• Phys.Rev.D 78 112004 (2008); arXiv:0811.0369[hep-ex]
• K2K CC coherent pi
• Phys.Rev.Lett. 95 (2005) 252301; hep-ex/0506008
• K2K CC1pi/CCQE
• Phys.Rev.D78 (2008) 032003 arXiv:0805.0186v2[hep-ex]
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Future Measurements
• MiniBooNE CC1π/CCQE ratio
• MiniBooNE CC1π differential cross section
• New fitter
• SciBooNE CC1π inclusive/exclusive cross section
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M. Wilking