Lepton Polarisation at HERA A brief overview of lepton polarisation - its use and measurement at HERA, including testbeam analysis of the performance.
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Transcript Lepton Polarisation at HERA A brief overview of lepton polarisation - its use and measurement at HERA, including testbeam analysis of the performance.
Lepton Polarisation at HERA
A brief overview of lepton polarisation - its use
and measurement at HERA, including testbeam
analysis of the performance of the upgraded
Transverse Polarimeter (TPOL).
Chris Collins-Tooth (ZEUS, IC-London)
Outline
Lepton Beam Polarisation - how, why?
Measurement of Polarisation - currently, and in the future.
Test Beam setup of the Telescope and Transverse Polarimeter
What is the Telescope and what does it do?
What data was gathered?
Analysis of the data
Multiple Coulomb Scattering, Beam spread, and Telescope resolution
Relative rotations
between parts of the Telescope
between the Telescope and the TPOL silicon
What can be done about these factors?
What does this tell us about the TPOL silicon - resolution,efficiency?
Conclusions
Relativistic e+/- emit
synchrotron radiation in
curved portions of a storage
ring.
Emission can cause spin flip.
and
flip rates differ.
e- become polarised
antiparallel to the guide field,
e+ become polarised parallel
to field.
P(t) =Pst [1-exp(-t/Tst)]
= (N -N )/(N +N )
Pst was ~0.51 at HERA
Tst=time-constant ~20min
P(%)
Lepton Beam Polarisation
60
50
40
30
20
10
0
-10
t(min)
Why is polarisation important?
More accurate knowledge of polarisation state of beam will allow
‘new physics’ to be investigated e.g.:
Standard Model: no right handed Charged Currents (W
+
-
L
/ W R ).
Plotting s obs(P) allows direct measurement of right-handed W-R
mass. - present limit is 720GeV set in 10/2000 by D0.
Neutral Current (Z ,g ) cross sections split into 4 at high Q2 if Leptons
polarised.
This allows measurement light quark Neutral Current couplings
v v a a . (complimentary to LEP b,c quarks).
CC
0
u
d
u
d
How is polarisation currently measured?
Transversely polarised leptons collide
with circularly polarised laser light
to give angular asymmetry.
Angular asymmetry translates to
spatial asymmetry.
Compton-scattered photons enter
calorimeter.
Calorimeter is in two halves to
measure up-down energy asymm.
Polarisations measured to + 6%
(photon position measured to
within 1000 mm)
Upgrade will improve accuracy.
What does the prototype TPOL look like?
Only changes to calorimeter
section of TPOL.
New 1cm2 Si strip detector in
front of calorimeter (80 mm
pitch for horizontal strips).
Due to small beam spot
radiation damage may occur.
Movable scintillating fibre to
calibrate Si response over
~5yr lifetime.
Production TPOL has 6x6cm2
Si strip detector, with
horizontal and vertical strips
(just tested at CERN).
Test Beam setup
Telescope
TPOL
6 GeV e- beam enters from left
e- beam passes through Telescope then moves into the TPOL
Telescope mounted as close to TPOL as possible on movable table
Telescope has 3 position sensitive detectors T1,T2 and T3 (Td was
‘dead’ material being used for a second experiment)
The Telescope
Previously, degree of polarisation
estimated using energy asymmetry in
calorimeter (Calorimeter resolution
~1000 mm)
Now measure polarisation using 80 mm
pitch Si
Something more accurate needed to
probe TPOL silicon resolution -
the Telescope.
3 planes of 50 mm pitch Si, with
horizontal and vertical strips.
T1,T2,T3 detectors roughly 3cm × 3cm
(TPOL silicon ~1 cm2)
The data
T1,T2,T3 used to predict Si
strip to fire.
As expected, fitted line has
slope =1 0.01
Offset simply due to T1,2,3
being physically larger than
TPOL Silicon
Width of data about fitted line
gives indication of TPOL
resolution
The width
Width =132.15 ± 2.93 mm
TPOL Silicon strip pitch =80 mm
Intrinsic resolution ~80/12 mm
-800
-400
00
400
800
Analysis of the data
Observed width does not relate directly to the TPOL resolution
Multiple Coulomb Scattering (MCS) of e- beam at T1,Td,T2,T3 and
TPOL Aluminium Box
Finite resolution of the Telescope
e- beam not 100% collimated
Misalignments of the Telescope detectors T1,T2,T3
Misalignments of the Telescope (as a whole) and the TPOL
Telescope internal misalignment
T1,T2 and T3 could all be misaligned with respect to each other.
Rotations would produce systematic shifts of ‘predicted minus actual’
strip firing from left-to-right
Most important are rotations about beam-axis (pictured). A 0.08o
rotation would cause a shift of 1 strip across breadth of detector
‘Predicted minus Actual’ shifts for T3,T2 and
T1 from LR
T3
T2
T1
Using T1,T2 to predict T3 (left) we observe a shift from left to
right of approximately 50 microns
Correction of misalignment
Iterative process invoked
Rotating T3 by 0.27o flattened off all the plots (to within errors)
TPOL misalignment
The TPOL silicon had no vertical strips
Track through T1,T2,T3 used to predict vertical strip to fire to give
indication of horizontal position of impact
No discernable shift observed before or after T3 rotation applied
Correction for rotations caused no discernable reduction in
observed ‘width’
MCS, Telescope resolution and beam
collimation
Simple Monte-Carlo simulation
using PDG formula for MCS with
gaussian width:
s=(13.6MeV/cp) (x/Xo) (1+0.038 n [x/ Xo])
Telescope resolution and beam
collimation are small factors in
comparison to MCS
Together, all these factors
contribute ~102 mm to the width
Subtracting in quadrature, the
TPOL resolution obtained is
(1322-1022) 83 mm
But - MCS is not actually gaussian.
Attempted to use GEANT to
improve estimate
GEANT v3.13
Geant v3.13 used to simulate
MCS through 5 surfaces
Gives width of 138 mm ± 1.5
cf Observed width 132 mm ± 3
There are other errors on this
simulation, 1.5 mm only
statistical error.
Consistent with good
performance of TPOL Silicon.
Error propagation
T1
Td
T2
T3
m
Al
m3
T4 (TPOL)
m3+3
3
+z
Alternative approach to Monte-Carlo
Use errors introduced by MCS etc., and propagate them to the TPOL silicon
T4=T3+Z4m3+Z43+(Z4-ZAl)Al
Var(T4)=Var(T3)+Z42Var(m3)+Z42Var(3)+(Z4-ZAl)2Var(Al)+Z4Cov(T3,m3)
T3=T1-Z1m3-Zdd-Z22
Var(m3)=(1/Z12)(T1-T3-Zdd-Z22)
Variances are calculated, (e.g. Var(T1,T2,T3)=s2T1,T2,T3 =208 mm)
sT4=[Var(T4)]=120 mm= Error on TPOL Si due to uncertainties in Telescope
Resolution of TPOL Si = [1322-1202]=55 mm
TPOL Resolution
Obviously other effects (eg MCS) mask the resolution, so we can
only say that TPOL Si results are consistent with theory.
From Monte-Carlo Simulation with PDG formula we obtain RTPOL 83 mm
From Error Propagation we obtain RTPOL 55 mm
TPOL Silicon Efficiency
Ratio of hits NOT registering in TPOL
Telescope used to predict TPOL events
Efficiency is the ratio of:
Horizontal Position (mm)
events with TPOL Silicon signal
events predicted by Telescope
TPOL Silicon edges found by looking at
ratio of hits not registering in the TPOL
as a function of position
Log plot reveals edges where Telescope
predicts TPOL hits but TPOL does not
register
Horizontal edges at 13000 & 20000 mm
Vertical edges at 11000 & 18000 mm
Consistent with active area of Silicon
Vertical Position (mm)
Efficiency cuts
Using the edges from previous slide, we must remove predicted events
from efficiency calculations where they miss the boundaries of the TPOL Si
Figures show
events predicted by the Telescope and registered by the TPOL (black)
For effect, events in red are added. They are predicted events which had no
TPOL response, but the event was inside the opposite direction boundary, and
so should have registered.
Clearly, the boundaries look correct.
Final Efficiency
With the positional cuts made, the efficiency of the TPOL
silicon can be calculated
This is the ratio of :
events with a TPOL silicon response
all predicted events inside the boundary
The efficiency is uniform across the detector, at ~97.8%
Conclusions
Upgrade should improve accuracy of asymmetry measurement.
Currently aiming for better than 1% error on P(t)
Misalignments, Coulomb Scattering and other factors contribute
significantly to observed width of 132 mm.
TPOL Silicon resolution TBA but preliminary studies suggest 55 and 83
mm
TPOL Silicon efficiency spatially uniform at 97.8%
More accurate knowledge of polarisation state of beam will allow
‘new physics’ to be investigated e.g.:
Standard Model: no right handed Charged Currents (W
+
-
L
/ W R ).
Plotting s obs(P) allows direct measurement of right-handed W-R
mass. - present limit is 720GeV set in 10/2000 by D0.
Neutral Current (Z ,g ) cross sections split into 4 at high Q2 if Leptons
polarised.
This allows measurement light quark Neutral Current couplings v v a
a . (complimentary to LEP b,c quarks).
CC
0
u
d
d
u