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
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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
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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
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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 LR
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+Z43+(Z4-ZAl)Al
 Var(T4)=Var(T3)+Z42Var(m3)+Z42Var(3)+(Z4-ZAl)2Var(Al)+Z4Cov(T3,m3)
 T3=T1-Z1m3-Zdd-Z22
 Var(m3)=(1/Z12)(T1-T3-Zdd-Z22)
 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