Outline
ü Motivations
ü Data analysis
ü Systematics
ü Results
Motivations (1)
ü
Electrons/Positrons are “special” CRs:
-
Large energy losses à“local” sources
-
Only e.m. interactions in the ISM à complementary info on CR propagations
-
e
+Sensitive to exotic sources à DM indirect searches
ü
Most of the High Energy measurements are not distinguishing the charge sign:
-
Direct measurements: eg. BETS, PPB-BETS, ATIC, FERMI, CALET, DAMPE
-
Indirect measurement: Hess,Hess-LE, CTA
3
B.Bertucci AMS days, April 16, 2015
(e
++ e
-) measurements before AMS
Chang, 2008
Aahronian, 2008, 2009
Abdo,2009
Ackerman,2010
(e
++ e
-) measurements before AMS Large spread in the measurements results
5
B.Bertucci AMS days, April 16, 2015
AMS-02 “charge insensitive” measurement can be directly
compared to previous measurements
Motivations (2)
Charge insensitive measurement offers unique features:
v No specific selection related to charge sign
ü more statistics
ü reduce systematics in the evaluation of the selection efficiency
v No systematic uncertainties related to charge sign
• Reach higher energies
• Smaller systematic uncertainties
Data Analysis
7
B.Bertucci AMS days, April 16, 2015
N(E,E+ΔE): number of e
++e
-A(E) : Acceptance
ε
trig: trigger efficiency T(E) : time exposure ΔE : energy interval
(E, E + E) = N(E, E + E)
A(E)✏
trigT(E) E
Data Analysis
N(E,E+ΔE): number of e
++e
-A(E) : Acceptance
ε
trig: trigger efficiency T(E) : time exposure ΔE : energy interval
Event Selection &
Measurement Technique
(E, E + E) = N(E, E + E)
A(E)✏
trigT(E) E
The Data Sample
9
B.Bertucci AMS days, April 16, 2015
41 billion events up to Nov. 2013 (e++e- measurement)
> 60 billion events collected now
Events collected
Events reconstructed
Event Selection
600 GeV electron DAQ:
- efficient data periods (no SAA, TRD gas refills, AMS z-axis more than 40° w.r.t. local zenith)
Geomagnetic effects:
E>1.20 max geomagnetic cutoff
TRD:
- Minimum 8 hits used for e/p identification - |Z| = 1
TOF:
- relativistic down-going particle (β>0.83) TRACKER:
- |Z| = 1
- track/ECAL matching to define fiducial volume
ECAL:
- Shower axis within the fiducial volume - Not MIP in the first 5X0
- Electromagnetic shape of the shower (ECAL estimator)
Measurement strategy
a) Define a clean sample of electrons/protons based on Tracker/ECAL detectors in order to study the TRD signals for electrons/protons b) Define a clean sample of electron/protons based on TRD/Tracker
detectors in order to study the ECAL signals for electrons/protons c) Efficiently select a sample of ISS data enriched in (e
++e
-) signal
based on ECAL
d) Measure the number of (e
++e
-) by a fit of the TRD classifier
distribution of the selected sample to the reference distributions in TRD for signal and background.
B.Bertucci
N
e, N
pevaluated only from Data
e/p separation with ECAL
electrons and protons behave differently when entering the ECAL
1) Matching measured momentum in tracker with the
deposited energy in ECAL [ not used for event selecAon, but to select control samples ]
2) 3D imaging of the energy shower allows to discriminate electron or proton iniAated showers [ ECAL classifier, used to preselect events for further analysis]
E ≈ 200 MeV E ≈ 20-30 GeV E ≈ 20GeV
Two complementary techniques can exploit electron/proton differences in ECAL
B.Bertucci
e/p separation with ECAL
1) Define a set of variables related to the shower:
NHITS: number of hits in the ECAL Shower Mean: weighted average of the longitudinal energy deposit
2) Combine them sta9s9cally by means of a mul9variate analysis based on Boosted Decision Tree (BDT) technique
13
0 50 100 150 200 250 300 350 400 450 !
! Nhits in ECAL ! Occurrency ! 0 0.02 0.04 0.06 0.08 0.1 0.12!
6 8 10 12 14 16 18 !
!!
Shower Mean (Layer Number)!
0.07!
0.06!
0.05!
0.05!
0.04!
0.03!
0.02!
0.01!
0!
!
Occurrency !
B.Bertucci
83-100 GeV
83-100 GeV
ECAL Classifier
protons electrons
ISS data: 73–140 GeV
ECAL classifier
Fraction of events
e/p separation with TRD
15
B.Bertucci AMS days, April 16, 2015
TRD-Classifier = -Log10(Pe)-2 ! !
hEle_25__1__1 Entries 19229 Mean 376.6 RMS 369.1
ADC counts
500 1000 1500
Normalized Entries
10-5
10-4
10-3
10-2
10-1
hEle_25__1__1 Entries 19229 Mean 376.6 RMS 369.1
Electrons Protons
TRD - Single tube spectrum
15
Combined Probability to be electron :!
Electrons
[50,100] GeV [25,35] GeV
Protons
[330,500] GeV [24,26] GeV
AMS data on ISS:
redundancy and complementarity
e
-e
+p p
spillover p
N o rm al ize d En tr ie s
Control sample e-
Control Sample p
E C A L c la ss if ie r
sign(R)*TRD classifier
Anti-p, spillover protons,
ISS Data: 73-140 GeV!
1D fit to measure N
eand N
p17
B.Bertucci AMS days, April 16, 2015
Reference spectra for the signal and the background are fitted to data as a function of the TRD classifier for different cuts on the ECAL BDT estimator
electrons + positrons
protons
Measurement is performed for the cut on the ECAL classifier that minimizes the overall statistical + systematic uncertainty ( à εBDT)
1D fit to measure N
eand N
pReference spectra for the signal and the background are fitted to data as a function of the TRD classifier for different cuts on the ECAL BDT estimator
protons
ECAL selection protons
electrons + positrons electrons + positrons
Measurement is performed for the cut on the ECAL classifier that minimizes the overall statistical + systematic uncertainty ( à εBDT)
ECAL classifier cut efficiency
19
B.Bertucci AMS days, April 16, 2015
The efficiency of the ECAL classifier is evaluated on the negative sample (R<0), selected by means of the Tracker
à the Signal/Background in the sample is naturally enhanced and the evaluation is reliable up to highest energies
Raw (e
++e
-) counts
10.6 million (e
++ e
-) events
Systematic errors:
Stability of the signal
21
B.Bertucci AMS days, April 16, 2015
ECAL
∈ 0.78 0.8 0.82 0.84 0.86
EN
220 240 260 280 300 320
0 2 4 6 8 10 12 14 16 18 a) [500 - 700] GeV 20
Trials
EN
220 240 260 280 300
320 RMS = 4% b)
50 100 150 200
Dominating systematic uncertainties on Ne++e-
- Knowledge of the TRD reference distributions - Stability of the fit result for different
background levels, e.g. ECAL classifier cuts
The analysis was repeated 2000 times in each energy bin varying the ECAL classifier cut and different values of selection cuts used to construct the
templates and the stability of the results verified within a 5% window in ECAL classifier cut efficiency
Systematic errors:
Stability of the signal
The RMS of the Ne as been used as systematics uncertainty, the effect of purely statistical contributions were taken into account and subtracted estimated from a dedicated simulation.
Negligible contribution to the measurement error below ≈ 200 GeV Dominant source of systematic error at higher energies (> 500 GeV)
ECAL
∈ 0.78 0.8 0.82 0.84 0.86
EN
220 240 260 280 300 320
0 2 4 6 8 10 12 14 16 18 a) [500 - 700] GeV 20
Trials
EN
220 240 260 280 300
320 RMS = 4% b)
50 100 150 200
Data Analysis
23
B.Bertucci AMS days, April 16, 2015
N(E,E+ΔE): number of e
++e
-A(E) : Acceptance
ε
trig: trigger efficiency T(E) : time exposure Δ(E) : energy interval
Geometrical Acceptance Selection efficiency
& Data/MC comparison
(E, E + E) = N(E, E + E)
A(E)✏
trigT(E) E
Detector Acceptance
Calculated with MC (Geant 4)
e-!
A
geom(E) = A
gen⇥ N
sel(E) N
gen(E)
A
eff(E) = A
geom⇥ ✏
sel⇥ (1 + )
A
gen = acceptance of the generation surfaceN
sel = events passing through TRD,TOF,TRK,ECALε
sel=
selection efficiencyδ =
data driven correctionDetector Acceptance
25
B.Bertucci AMS days, April 16, 2015
Estimated with MC (Geant 4)
3.9 m!
A
geom(E) = A
gen⇥ N
sel(E) N
gen(E)
A
eff(E) = A
geom⇥ ✏
sel⇥ (1 + )
A
gen = acceptance of the generation surfaceN
sel = events passing through TRD,TOF,TRK,ECALε
sel=
selection efficiency (70-90% above GeV)δ =
data driven correction (-4%@ 2 GeV, -3%@1TeV)Preselection Selected
In AMS
e-!
Detector Acceptance
Data driven correction evaluated from the comparison of each selection cut efficiency on ISS data and MC sample
Energy (GeV)
10 10
2Efficiency
0.9 0.92 0.94 0.96 0.98 1
Energy (GeV) 5 6 7 8 910 20 30 40 50 102
Data/MC
0.96 0.98 1 1.02
1.04 Data/MC comparison
Energy (GeV)
10 102
Efficiency
0.9 0.92 0.94 0.96 0.98 1
Energy (GeV)
5 6 7 8 910 20 30 40 50 102
Data/MC
0.96 0.98 1 1.02
1.04 Data/MC comparison
Example : TRD acceptance + quality cut
•
Data/MC ratio on all cuts used to evaluate δ
•
Deviation from unity used to assess systematic uncertainty
Data Analysis
27
B.Bertucci AMS days, April 16, 2015
N(E,E+ΔE): number of e
++e
-A(E) : Acceptance
ε
trig: trigger efficiency T(E) : time exposure Δ(E) : energy interval
(E, E + E) = N(E, E + E)
A(E)✏
trigT(E) E
Trigger Efficiency
B.Bertucci
100% efficiency at E>3 GeV Determined with ISS data using with unbias trigger (pre-scaled by 1/100)
Electromagnetic Trigger:
4/4 TOF + ECAL energy deposit Z=1 Trigger
4/4 TOF + No Veto
Data Analysis
29
B.Bertucci AMS days, April 16, 2015
N(E,E+ΔE): number of e
++e
-A(E) : Acceptance
ε
trig: trigger efficiency T(E) : time exposure Δ(E) : energy interval
Data taking &
Geomagnetic effects
(E, E + E) = N(E, E + E)
A(E)✏
trigT(E) E
Exposure time:
geomagnetic effects
<Acquisition rate> ≈ 500 Hz
CR (R<Rcutoff)
CR (R>Rcutoff)
AMS
CR
Latitude (°) Latitude (°)
<Livetime> ≈ 89%
Longitude (°) Longitude (°)
Effect on data taking:
- Reduced livetime: in South
Atlantic Anomaly region and close to geomagnetic poles.
Exposure time
31
B.Bertucci AMS days, April 16, 2015
The exposure time to a given energy along the orbit is performed only considering the time spent in the regions where the rigidity cutoff used in the event selection is lower than the energy.
Primary
Secondary
|GeoLat| < 20°
|GeoLat| > 40°
20°<|GeoLat| < 40°
dN /dE (H z G eV
-1)
≈ 80% efficiencyGeomagnetic cutoff & orbit
Data Analysis
N(E,E+ΔE): number of e
++e
-A(E) : Acceptance
ε
trig: trigger efficiency T(E) : time exposure Δ(E) : energy interval
Energy resolution
& Calibration
(E, E + E) = N(E, E + E)
A(E)✏
trigT(E) E
33
B.Bertucci AMS days, April 16, 2015
Chapter 2. The AMS-02 detector 73
information used to have a redundant signal in case of anode breakdowns and also to build up
1661
the ECAL standalone trigger (see Section det:daq_trg
2.8).
1662 1663
ECAL PMT response is equalized setting the PMT gain to a common value and correcting
1664
the residual response of each cell to hadronic MIP particles o✏ine [BasaraICRC2013
202].
1665 1666
Electrons, positrons and photons reaching ECAL interact starting an electromagnetic shower.
1667
The mean longitudinal profile of the energy deposit by an electromagnetic shower is usually
1668
described by a gamma distribution [Grindhammer1993kw
203]:
1669
h 1 E
dE(t)
dt i = ( t)↵ 1e t
(↵) (2.2) eq:show_long_prof
where t = x/X0 is the shower depth in units of radiation length, ⇠ 0.5 is the scaling parameter
1670
and ↵ the shape parameter. The total thickness of the ECAL (⇠ 17 X0) allows the containment
1671
of 75% of the shower energy deposit for 1 TeV electrons.
1672
The energy of the incoming particle is measured applying corrections for the rear and lateral
1673
energy leakage, and for the anode efficiency, to the deposited energy. These corrections ensure
1674
the energy linearity to be under control to less than 1% up to 300 GeV. The calorimeter energy
1675
resolution (E)/E has been measured during the test beams [DiFalcoICRC2013
204] (see Figure fig:det:ecal:ecal_eneres
2.16) and can be
1676
parametrized as a function of the particle energy E by:
1677
(E)
E = 10.4± 0.2
pE(GeV)% (1.4± 0.1)% (2.3) eq:ecal_ene_res
fig:det:ecal:ecal_eneres
Figure 2.16: ECAL energy resolution measured using e± test beams for
perpendicularly incident particles [DiFalcoICRC2013 204].
The fine ECAL 3D readout granularity allows to reconstruct the shower axis and direction
1678
with high precision. The ECAL pointing accuracy is an extremely important parameter for
1679
gamma ray astrophysics. The ECAL angular resolution has been measured to be better than 1
1680
for energies above 50 GeV [VecchiICRC2013
205]. The ECAL standalone trigger, whose efficiency is better than
1681
99% at energies above 5 GeV, allows to measure photons inside the AMS field of view and which
1682
did not interact before the calorimeter. Given the amount of radiation length X0 in front of
1683
Chapter 2. The AMS-02 detector 73
information used to have a redundant signal in case of anode breakdowns and also to build up
1661
the ECAL standalone trigger (see Section det:daq_trg
2.8).
1662
1663
ECAL PMT response is equalized setting the PMT gain to a common value and correcting
1664
the residual response of each cell to hadronic MIP particles o✏ine [BasaraICRC2013
202].
1665
1666
Electrons, positrons and photons reaching ECAL interact starting an electromagnetic shower.
1667
The mean longitudinal profile of the energy deposit by an electromagnetic shower is usually
1668
described by a gamma distribution [Grindhammer1993kw
203]:
1669
h1 E
dE(t)
dt i = ( t)↵ 1e t
(↵) (2.2) eq:show_long_prof
where t = x/X0 is the shower depth in units of radiation length, ⇠ 0.5 is the scaling parameter
1670
and ↵ the shape parameter. The total thickness of the ECAL (⇠ 17 X0) allows the containment
1671
of 75% of the shower energy deposit for 1 TeV electrons.
1672
The energy of the incoming particle is measured applying corrections for the rear and lateral
1673
energy leakage, and for the anode efficiency, to the deposited energy. These corrections ensure
1674
the energy linearity to be under control to less than 1% up to 300 GeV. The calorimeter energy
1675
resolution (E)/E has been measured during the test beams [DiFalcoICRC2013
204] (see Figure fig:det:ecal:ecal_eneres
2.16) and can be
1676
parametrized as a function of the particle energy E by:
1677
(E)
E = 10.4± 0.2
pE(GeV)% (1.4± 0.1)% (2.3) eq:ecal_ene_res
fig:det:ecal:ecal_eneres
Figure 2.16: ECAL energy resolution measured using e± test beams for
perpendicularly incident particles [DiFalcoICRC2013 204].
The fine ECAL 3D readout granularity allows to reconstruct the shower axis and direction
1678
with high precision. The ECAL pointing accuracy is an extremely important parameter for
1679
gamma ray astrophysics. The ECAL angular resolution has been measured to be better than 1
1680
for energies above 50 GeV [VecchiICRC2013
205]. The ECAL standalone trigger, whose efficiency is better than
1681
99% at energies above 5 GeV, allows to measure photons inside the AMS field of view and which
1682
did not interact before the calorimeter. Given the amount of radiation length X0 in front of
1683
Energy Resolution
The finite energy resolution could affect the flux measurement due to bin-to-bin migration effects.
Energy (GeV)
1 10 102 103
Relative error
0 0.01 0.02 0.03 0.04
Bin to bin migration error
The excellent energy resolution of ECAL results in a negligible effect of on the measurement error above few GeVs.
Energy scale
ECAL energy absolute scale
ü measured on ground with test beams
ü Minimum ionization signal from p/He used to cross-calibrate the energy scale in flight
Comparison of the reconstructed energy in the ECAL with the Momentum (P) measured in the Tracker is used to verify the stability over time
10
20 80 100 120 180 290
35
B.Bertucci AMS days, April 16, 2015
Chapter 6. The e+ + e flux measurement 187
Energy (GeV)
1 10 102 103
(E) / Eσ
0 0.02 0.04 0.06 0.08 0.1 0.12 0.14
Energy resolution
Absolute scale uncertainty
fig:flux:ecal:scale:enerr_param
Figure 6.2: Parametrization of the ECAL energy resolution (in blue) and the energy measurement absolute scale systematics (in red). Both curves have been parametrized between 10 GeV and 290 GeV using test beam e±. The ECAL resolution energy dependence has been extrapolated continuously outside this range. The uncertainty on the absolute scale grows towards low and high energies in order to cover further discrepancies with the MC simulation.
dure explained in Section fluxintro:MCnorm
3.3 assuming an injection flux ⇤gen(Egen) representative of the incoming
3916
e++ e flux. The analysis selection chain has been applied on MC simulation e events. The bias
3917
introduced in the energy measurement by every cut on the analysis is in this way taken into ac-
3918
count. The selected e events are then accumulated in histograms according to the reconstructed
3919
energy value Erec and the reconstructed flux ⇤rec(Erec) is then computed, as done for data, ac-
3920
cording to the prescription of Equation eq:flux3.11. Finally ⇤rec(Erec) is compared to the known input
3921
flux ⇤gen(Egen). Any discrepancy between the two values has to be considered a consequence of
3922
bin-to-bin event migrations due to the finite ECAL energy measurement resolution and to any
3923
non-linearity in the energy scale.
3924
The uncertainty of the flux measurement due to the bin-to-bin event migration induced by the
3925
finite ECAL energy measurement resolution has been studied using this approach. For each MC
3926
simulation event, the value of Erec has been determined by applying a smearing to the value of
3927
Egen according to the energy resolution observed in the ECAL migration matrix. Any deviation
3928
from the linearity, observed in Figure fig:flux:ecal:scale:resomatrix
6.3, has been neglected in this approach to disentagle the
3929
bin-to-bin event migrations from the event migrations due to a miscalibration of the energy scale.
3930
This last point will be discussed later in this section. The result of the comparison of ⇤rec(Erec)
3931
with the known input flux ⇤gen(Egen) is shown in Figure fig:flux:ecal:scale:bintobinerror
6.4. The red points quantify the amount
3932
of systematic uncertainty to the flux measurement due to the discrepancy observed in ⇤rec(Erec) if
3933
compared to ⇤gen(Egen). This e↵ect has been studied independently also by other analysis groups
3934
within the AMS collaboration. The parametrization that has been chosen by the collaboration to
3935
• For each energy bin, the flux measurement is reported to a representative value Ē of the energy in the bin for a flux E−3
• the uncertainty on the energy scale is associated as an error to the choosen Ē
ECAL energy scale known at 2% level in [10.0 – 290.0] GeV
Energy scale
Measurement Error
Dominated by acceptance
systematics below ≈100 GeV Dominated by statistics above 130 GeV.
Finite Statistics of reference distributions in the fit are the major source of systematics.
With more data both errors will decrease.
B.Bertucci
Results: PRL 113, 221102 (2014)
Results: the flux before AMS
Results: the flux after AMS
39
B.Bertucci AMS days, April 16, 2015
Solar effects on fluxes
At low energies the flux is modulated by solar activity :
further studies from AMS-02 data will allow to accurately deconvolve the Local Interstellar Spectrum
Oct. 2013 Stat err. only Oct. 2011
Stat err. only
AMS-02 Data Neutron monitor
Φ(e+ +e- ) relative flux Neutron monitor relative counts
Flux on PRL
Results: the spectral index
41
B.Bertucci AMS days, April 16, 2015
γ = d log (Φ)/ d log (E)
γ
d log (Φ)/ d log (E) = -3.170 ±0.008 (stat+sys) ±0.008 (E scale)
A single power law describes the spectrum for E>30.2 GeV
Results: the spectral index
d log (Φ)/ d log (E) = -3.170 ±0.008 (stat+sys) ±0.008 (E scale)
A single power law describes the spectrum for E>30.2 GeV Energy (GeV)
10 10
2Spectral Index
-3.6 -3.4 -3.2 -3 -2.8 -2.6 -2.4 -2.2
Energy (GeV)
102 103
)-1 sr sec ]2 [ m2 (GeVΦ × 3 E
102
Data
Eγ
Fit to C ×
AMS-02 ATIC01&02 BETS9798 BETS04 Fermi-LAT HEAT94 HEAT94&95 HEAT95 H.E.S.S.
H.E.S.S. (LE)
Minimal model Fit
Minimal model combined fit to (e
++e
-) and positron fraction
common e+/-source with cut-off
- primary e- from SNR - secondary e+ from
ISM interactions
Secondary e+
Primary e- from SNR
Common e+/- source with cut-off
43
B.Bertucci
CSE se E/ES
e
= C
eE
e+
e+
= C
e+E
e++
CSE se E/ES..next step
Conclusion
45
B.Bertucci AMS days, April 16, 2015
ü
The statistics and the resolution of AMS provide a precision measurement of the (e
++e
-) flux.
ü
The flux is smooth and reveals new and distinct information:
above 30.2 GeV, the flux can be described by a single power law with a spectral index
γ = − 3.170± 0.008(stat+syst) ± 0.008 (energy scale)
What’s next?
-