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NSF Review Meeting, NSF, 03/24/14
Steffen Strauch*University of South Carolina
Geant4 Simulationsfor MUSE
*This work is supported in parts by the U.S. National Science Foundation: NSF PHY-1205782
beamCherenkov
GEM3
GEM2
GEM13 planes
of scintillation fibers
2 planes ofstraw chambers
beam-linemonitor
2 walls ofscatteredparticle
scintillators
veto
Outline
1. Geant4 physics model and simulation verification
2. Simulation of detector and beam properties
3. Preliminary study of analysis topics
‣ Particle tracking and scattering-angle reconstruction
‣ Møller/Bhabha scattering
‣ Muon decay in flight
2
Physics: test of ep - scattering cross section
3
(deg)θScattering Angle 0 45 90 135 180
/sr)
2 (
cmΩ
/dσC
ross
Sec
tion
d
-3310
-3210
-3110
-3010
-2910
-2810
-2710
-2610 = 150 MeV/ceGeant4, p
MottDiracElastic ep scattering
ep elastic cross section reasonably well described in Geant4 at 150 MeV/c and 210 MeV/c.
2 cm lH2 target
150 MeV/c electrons
6 x 109 events
FTFP_BERT
1
10
210
310
410
510
610
(deg)θScattering Angle 0 45 90 135
(MeV
/c)
e'M
omen
tum
p
0
50
100
150
= 150 MeV/cep ee→Moller / ee
ep→Mott / ep
Momentum-angle correlation approximated for forward angle elastic ep scattering.
Physics: Mott and Møller scattering
4
Mott
Møller
Pulse-height distribution: electrons and muons
ADC0 1000 2000 3000 4000
Cou
nts
1
10
210
310
410
, 115 MeV/c+Beam: e
Run: #934Data (geoadc)
g4PSI
ADC0 1000 2000 3000 4000
Cou
nts
1
10
210
310
410
, 153 MeV/c+Beam: e
Run: #935Data (geoadc)
g4PSI
Data (Summer 2013):
‣ 5 cm x 5 cm x 50 cm scintillator with 2 PMTs.
Geant4 simulation
‣ Universal energy scale of the MC data for all runs and all particle types.
‣ Histograms normalized for equal number of entries.
‣ Adjustment of beam parameters in simulation to fit pulse-height spectrum. ADC
0 1000 2000 3000 4000
Cou
nts
1
10
210
310
, 153 MeV/c+µBeam:
Run: #935Data (geoadc)
g4PSI
5
115 MeV/c 153 MeV/c
153 MeV/c
0
20
40
60
310×
SC Wall Front Paddle5 10 15
SC W
all B
ack
Padd
le
10
20
2 * Nα - 1N-5 0 5
Cou
nts
per I
ncid
ent P
artic
le
-510
-410
-310
-210
-110
1
Maximum-signal scintillatorsClosest above-threshold scintillators
-Particle: e
= 115 MeV/cin
p
= 2.0 MeVthE
Scattered particle scintillator - paddle correlation
• Front- and back-wall hits are highly correlated if the event originated in the target.
• Imposing a hardware coincidence with the expected correlation does reduce accidental background.
• Measured correlation will help validate the simulation.
6
Detector efficiency of TOF wall scintillators
• Efficiency of scattered particle scintillators is ≳ 99%
• Small (< 1%) effects which will be corrected
- Annihilation of positrons in the front wall
- Multiple scattering of low-momentum muons (with directional cut)
7
Particle Scattering Angle (deg)0 50 100
Effic
ienc
y
0.94
0.96
0.98
1.00
+Particle: e = 115 MeV/c
inp
= 2.0 MeVthE
one plane only
two-plane coincidence
directional cut
Particle Scattering Angle (deg)0 50 100
Effic
ienc
y
0.94
0.96
0.98
1.00
-µParticle: = 115 MeV/c
inp
= 2.0 MeVthE
one plane only
two-plane coincidence
directional cut
Multiplicity of scintillator-paddle hits
• In most cases one or two bars trigger per scintillator wall.
• Hit multiplicities can be used to validate the simulation.
8
)th
Number of Paddles (E > E0 5 10
Cou
nts
per I
ncid
ent P
artic
le
-410
-310
-210
-110
1-µParticle:
= 115 MeV/cin
p = 2.0 MeVthE
Front SC wallBack SC wall
)th
Number of Paddles (E > E0 5 10
Cou
nts
per I
ncid
ent P
artic
le
-410
-310
-210
-110
1-µParticle:
= 210 MeV/cin
p = 2.0 MeVthE
Front SC wallBack SC wall
Typically low multiplicity Highest multiplicity
Veto detector essential to reduce trigger rate
9
Trigger-rate reduction after veto:
‣ electrons ≈ 1/3‣ muons ≈ 1/2
Veto
GEM3
Target
16 cm
elec
tron
bea
m, p
= 153
MeV
/c
1
10
210
310
410
x-position at z = -17 cm (cm)-40 -20 0 20 40
y-po
sitio
n at
z =
-17
cm (
cm)
-40
-20
0
20
40
1
10
210
310
410
x-position at z = -17 cm (cm)-40 -20 0 20 40
y-po
sitio
n at
z =
-17
cm (
cm)
-40
-20
0
20
40
Beam
Beam-momentum distributions are an important input to radiative corrections of the scattering cross section.
Simulation helps to understand the beam momentum distribution
10
0)/p
0Relative particle momentum change (p - p
-0.20 -0.15 -0.10 -0.05 -0.00 0.05
Cou
nts
10
210
310 p = 115 MeV/c Target entrance-e Target exit-e
0)/p
0Relative particle momentum change (p - p
-0.20 -0.15 -0.10 -0.05 -0.00 0.05
Cou
nts
1
10
210
310 p = 115 MeV/c Target entrance-R Target exit-R
Electron beamMuon beam
Incident electron beam with momentum spread, Δp/p = ±1.5%
p(e,e’) scattering eventinside the target
153 MeV/celectron
Ionization andBremsstrahlung
in the thick rearscintillator wall
11
Particle-track reconstruction using hit information from
‣ hits in GEM detectors (incident) and
‣ straw chambers (scattered)
Tracking of simulated events
Vertex Resolution 𝝈 ≲ 6 mm
12X (cm)ΔVertex
-2 -1 0 1 2
Cou
nts
0
50
100
0.00 cm± = 0.00 µ 0.00 cm± = 0.10 σ
Beam-µ
p = 210 MeV/c
Z (cm)ΔVertex -2 -1 0 1 2
Cou
nts
0
20
40
0.01 cm± = -0.04 µ 0.01 cm± = 0.30 σ
Beam-µ
p = 210 MeV/c
Z (cm)ΔVertex -2 -1 0 1 2
Cou
nts
0
20
40
60 0.01 cm± = -0.05 µ 0.01 cm± = 0.61 σ
Beam-µ
p = 115 MeV/c
X (cm)ΔVertex -2 -1 0 1 2
Cou
nts
0
50
100
150 0.00 cm± = 0.00 µ 0.00 cm± = 0.24 σ
Beam-µ
p = 115 MeV/c
Reaction z-Vertex (cm)-20 0 20
Cou
nts
0
100
200
300 Beam-µ
p = 153 MeV/c
Vertex reconstruction of muon events
13
scatteringchamber exit
targetscatteringchamber entrance
GEM3detector
Reconstruction of muon scattering vertex is of sufficiently high resolution to cleanly separate scattering events within the target from other sources.
Reaction z-Vertex (cm)-20 0 20
Cou
nts
0
100
200 Beam-e
p = 153 MeV/c
Vertex reconstruction for electrons
14
scatteringchamber exit
targetscatteringchamber entrance
GEM3detector
Radiation processes affect vertex reconstruction of electrons. Small background can be studied and corrected for with empty target measurements and simulations.
Sufficient resolution of the scattering angle reconstruction
Reconstruction of the scattering angle for simulated events with reconstructed reaction vertex within the target volume and 𝜽 > 20˚
15
(mrad)θΔScattering Angle -50 0 50
Cou
nts
0
50
0.25 mrad± = 0.38 µ 0.17 mrad± = 12.34 σ
Beam-µ
p = 153 MeV/c
(mrad)θΔScattering Angle -50 0 50
Cou
nts
0
50
0.27 mrad± = 0.33 µ 0.19 mrad± = 11.76 σ
Beam-e
p = 153 MeV/c
Reconstruction of the scattering angle is unbiased and of sufficient resolution.
Δθ = θreconstructed −θsimulated
Møller scattering background
Signatures
‣ Scattered Møller electron forward peaked
‣ Scattered electron has low momentum
‣ Forward going high-momentum beam electron
Suppression
‣ Beam-monitor scintillator as Møller Veto
‣ Scintillator Wall bar combination
16
ee → ee scattering eventinside the target
Møller electron
Forward goinghigh-momentum
electron
Beam-monitorscintillator
as Møller Veto
153 MeV/celectron
Scattered Particle Momentum (MeV/c)0 50 100 150
Cou
nts
0
500
1000
Beam-e
p = 153 MeV/c
Electron momentum distribution dominated by Møller events
17
Møller events
Mott eventsScattering events
of interest
All events have a reaction vertex within the target volume.
Experiment does not measure the momentum of the scattered particle, E(SC2) > 5 MeV.
Scattered Particle Momentum (MeV/c)0 50 100 150
Cou
nts
0
500
1000
Beam-e
p = 153 MeV/c
Full suppression of Møller events with beam monitor veto
18
Møller eventscompletely suppressed
with a veto signalfrom the downstream
beam monitor
Mott eventsScattering events
of interest
All events have a reaction vertex within the target volume. Events marked in red do not have a hit in the downstream beam monitor.
Experiment does not measure the momentum of the scattered particle, E(SC2) > 5 MeV.
Scattered Particle Momentum (MeV/c)0 50 100 150
Cou
nts
1
10
210
310 Beam-e
p = 153 MeV/c
19
Møller events
Mott eventsRadiative tail
Simulation gives input to calculations of radiative corrections
simulation determines detection threshold, which is an input to the calculations of radiative corrections
Muon decay in flight
20
Suppression of background from muon decay‣ Target vertex cut‣ Time of flight
153 MeV/c muon beam
electron
µ− → e− +νe +νµ
muon decayvertex
neutrinos
tSC
tUSBS
USBS
SC
Δt = tSC −
SCc
⎛⎝⎜
⎞⎠⎟ − tUSBS −
USBSβµc
⎛
⎝⎜⎞
⎠⎟
Vertex-time difference from path lengths and measured times
assuming electronafter muon decay, βe = 1
(ns)BC - tSCVertex Time Difference t0 1 2
Cou
nts
0
50
100
150TEST153 MeV/c scatteringµ
decayµ
(ns)BC - tSCVertex Time Difference t0 1 2
Cou
nts
0
100
200TEST115 MeV/c scatteringµ
decayµ
(ns)BC - tSCVertex Time Difference t0 1 2
Cou
nts
0
50
100
150TEST210 MeV/c scatteringµ
decayµ
Muon decay in flight — vertex-time differenceDetection of muon decay by path-length corrected time-of-flight:
‣ time-of-flight walls (tSC, 𝝈 = 50 ps)
‣ upstream beam Cherenkov (tBC, 𝝈 = 100 ps)
21
6𝝈
4𝝈 2.2𝝈most of theseevents are μ
scattering events
High fraction of scattering events are detectable without significant background contribution
22
Vertex-time difference cut on scattering event distributionVertex-time difference cut on scattering event distribution
μ momentum -σ < tSC - tBC -3σ < tSC - tBC
115 MeV/c Signal 85(2)%Background 0.0(0.0)%
Signal 100(2)%Background 0.0(0.0)%
153 MeV/c Signal 87(2)%Background 0.3(0.1)%
Signal 100(2)%“Background” 1.6(0.2)%
210 MeV/c Signal 90(3)%Background 3.1(0.2)%
Signal 100(4)%Background 63(1)%
• The time-of-flight technique can reduce the muon-decay in flight background to < 4% prior to any correction of subtraction.
• In practice, vary cut to optimize final uncertainties.
Direct measurement of the muon decay in flight background
In situ measurement of muon decay-in-flight background from events upstream & downstream of the target.
23
target z40 mm20 mm 20 mm
Muon decay flagged in simulation Muon decay distribution measured
(ns)BC - tSCVertex Time Difference t0 1 2
Cou
nts
0
50
100
150TEST153 MeV/c scatteringµ
decayµ
(ns)BC - tSCVertex Time Difference t0 1 2
Cou
nts
0
50
100
150TEST153 MeV/ctotalbackground
Summary
• Key physics processes are included in the simulation code.
• Simulation of detector components helped with the optimization of the experimental setup.
• Particle vertex and scattering-angel reconstruction is sufficient.
• Møller/Bhabha scattering are efficiently suppressed with an event-veto from the beam-line monitor detector.
• Muon decay-in-flight background can be removed with time-of-flight measurements, direct measurements of the background up- and downstream of the target, or through empty target measurements.
24