Homework from previous meeting• Matsuoka-san's report
– Check density of material (target, dump, horn).– Categorize contribution from different setup/condition
s. – Check two Gaussian beam profile case to imitates the c
ommissioning. – Updated geometry should be checked by multiple peopl
e. • Jordan's report
– It is a little bit surprising (for at least to me) that beam profile center shift is expected at INGRID for proton beam shift even when horn is off. Let's check it.
– Assumed INGRID response should be confirmed by the INGRID people.
• General – Include beam divergence treatment into jnubeam and c
heck the effect
Review –K2K-
Hadron production model
8
5
4
2 cosexp1 763
1
2C
BCB
C
B
C pCpCp
pC
p
ppC
dpd
d
p : momentum of secondary particle
pB : momentum of incident proton
Convert beryllium to aluminum by rescaling
)26.055.0(74.0)(x : F
)(
FF
x
Be
Al xxA
Aw
F
Primary interaction
Secondary interaction
GCALOR/FLUKA
Al
Beused
spectrum shape
HARP, Pion monitor and MC comparison
Far/Near ratio vs E
Near
Far
We use the HARP F/N ratio for the oscillation analysis
F/N
Estimation of uncertainty• Primary interaction
– the flux variation in each energy bin by varying a given HAPR Sanford-Wang parameter by 1
– ~30% in the interaction length. – overall charged and neutral kaon production normalization : 50%
• Secondary interaction– Take relatively large differences between the GCALOR/GFLUKA
and GHEISHA– also in comparison to available experimental data
• Horn Magnetic field– 10% uncertainty in the absolute field strength– periodic perturbation in azimuth of up to 15% amplitude with res
pect to the nominal field strength• Beam optics
– 1.2 mm : impact point on target, and 2.0 mrad in injection angle– beam profile width at the target and angular divergence : the 2
0% accuracy with which the beam profile widths are measured at the SPIC detector locations.
Uncertainty on Far/Near
Neutrino spectrum measurement at ND
Fit result of neutrino spectrum
Fitting NSK and Spectrum shape
)()()( fLfLfLL systshapenormtot systematics parameters
),,,,,( F/N nEsksknQE fffffff spec
nQE/QEFar/near
SK(efficiency)SK Enegry scale
Overall Norm Error
Systematic parameters also treated as fitting parameter.
Nsk (Flux)1KT (same target and detection technique as SK)
simply,
But actually
KT
SK
KTKT
SKSKobsKTSK M
M
dEEEE
dEEEENN
111
1exp
)()()(
)()()(
ji
KTijijji
MCKTi
ji
SKijijji
MCNDNiFi
DATAKTMC
KT
oscMCSK
nF/NnQE
fEf
fmPEff
NfN
PfN
m,f,f,ffNN
,
,
22/
2211expexp
)()(
)()2sin,()(
)(
),(
)2sin,,(
i :energy, j :modeND measurement
HARP
ND measurementtuned by Cho param.
Cancellation of syst error on N11exp
NSKMC(f) ∝NKT
MC(f)
N11exp(f)
Spectrum : 1R
SKijijji
MCNDNiFii
SK fmPEffE )()2sin,()()( 22/exp
Contribution of syst. errors on spectrum
Total
Spec. nQE/QE Spec.+nQE/QE
F/N SKSK Escale
K2K-II e appearance searchError on backgrounds from
NC10/CC ratio +6%,-7%
NC/CC ratio(non-NC10) +-3%
0 energy spectrum +-8%
coherent 0 model +3%,-10%
0 mass cut +19%,-17%
water properties +-6%
neutrino flux at SK +-6%
non-QE/QE ratio +-1%
detector efficiency +-6%
single electron selection +7%, -8%
Total +39%,-24%
* Super-K intrinsic
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