first measurement of the beam normal single spin asymmetry in Δ resonance production by q-weak...
TRANSCRIPT
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First Measurement of the Beam Normal Single Spin Asymmetry in Δ Resonance Production by Q-weak
Nuruzzaman(https://userweb.jlab.org/~nur/)
for the Q-weak Collaboration
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Outline
CIPANP 2015Nuruzzaman 2
Beam Normal Single Spin Asymmetry
Experimental apparatus
Overview of the dataset
Overview of analysis and preliminary result
Comparison with a theory calculation
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Beam Normal Single Spin Asymmetry
CIPANP 2015Nuruzzaman 3
Bn = σ − σσ + σ
• Beam Normal Single Spin Asymmetries (Bn) are generated when transversely polarized electrons scatter from unpolarized targets
• Bn is parity conserving and is time-reversal invariant
spin UP
spin DOWN
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Beam Normal Single Spin Asymmetry
CIPANP 2015Nuruzzaman 3
Bn = 2T1γ × Im T2γ
|T1γ|σ − σσ + σ =
γ + γ γ
• Beam Normal Single Spin Asymmetries (Bn) are generated when transversely polarized electrons scatter from unpolarized targets
• Bn is parity conserving and is time-reversal invariant
• Bn provides direct access to the imaginary part of the two-photon exchange amplitude
Bn arises from the interference of 2-photon exchange with 1-photon
exchange in e-N scattering
T1γ – amplitude for 1-photon exchangeT2γ – amplitude for 2-photon exchange
spin UP
spin DOWN
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Beam Normal Single Spin Asymmetry
CIPANP 2015Nuruzzaman 3
Bn = 2T1γ × Im T2γ
|T1γ|σ − σσ + σ =
T1γ – amplitude for 1-photon exchangeT2γ – amplitude for 2-photon exchange
Contains information about the Intermediate states of the nucleon
γ + γ γ
• Beam Normal Single Spin Asymmetries (Bn) are generated when transversely polarized electrons scatter from unpolarized targets
• Bn is parity conserving and is time-reversal invariant
• Bn provides direct access to the imaginary part of the two-photon exchange amplitude
Bn arises from the interference of 2-photon exchange with 1-photon
exchange in e-N scattering
spin UP
spin DOWN
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Bn in the Production of the Δ Resonance
CIPANP 2015Nuruzzaman 4
Measuring Bn in e + p e + Δ
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Bn in the Production of the Δ Resonance
CIPANP 2015Nuruzzaman 4
• Proton EM FF well known. N→Δ EM transition FF fairly well known
• Unique tool to study *ΔΔ form factors
• Potential to constrain charge radius and magnetic moment of Δ !
Physics Motivation:
For p and Δ intermediate hadrons, vertices are known - except for *ΔΔ electromagnetic (EM) vertex
Measuring Bn in e + p e + Δ
More details by M. Dalton on Wed
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Asymmetry Measurement
CIPANP 2015Nuruzzaman 5
Measured asymmetry
ϵM(ϕ) = N − NN + N
e-
protonθK
K'
Detect
or
S S
Bn is also known as transverse asymmetry
Can be measured with a transversely polarized beam to determine the magnitude
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Asymmetry Measurement
CIPANP 2015Nuruzzaman 5
Measured asymmetry
ϵM(ϕ) = N − NN + N = − BnS.n = BnS sin(ϕ-ϕ0) = Bn [PVcos(ϕ) - PHsin(ϕ)]
∧
n =∧ k × k’
|k × k’|
Measured asymmetry has a small azimuthal dependence
e-
protonθK
K'
Detect
or
S S
• Horizontal : PH = S cos(ϕ0)
• Vertical : PV = S sin(ϕ0)
Bn is also known as transverse asymmetry
Can be measured with a transversely polarized beam to determine the magnitude
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Jefferson Lab and Q-weak Setup
CIPANP 2015Nuruzzaman 6
CA B
D
Q-weak experiment ran in Hall-C at the Thomas Jefferson National Laboratory in Newport News, Virginia from Jan 2010 – May 2012
Q-weak setup inside Hall-C (during construction)
Aerial view of Jefferson Lab
Transverse measurements were taken from 16 - 20 February, 2012
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Bn Measurement Using Q-weak Apparatus
CIPANP 2015Nuruzzaman 7
• Ebeam = 1.16 GeV• <θ> ~ 8.3°• Q2 = 0.021 (GeV/c)2
• ϕ coverage ~ 49% of 2π• Current = 180 μA• Polarization = 88%
Kinematics
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Bn Measurement Using Q-weak Apparatus
CIPANP 2015Nuruzzaman 7
• Ebeam = 1.16 GeV• <θ> ~ 8.3°• Q2 = 0.021 (GeV/c)2
• ϕ coverage ~ 49% of 2π• Current = 180 μA• Polarization = 88%
Kinematics
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Bn Measurement Using Q-weak Apparatus
CIPANP 2015Nuruzzaman 7
3
7
51
2 4
8 6
ϕ (octant # − 1) x 45o
• Ebeam = 1.16 GeV• <θ> ~ 8.3°• Q2 = 0.021 (GeV/c)2
• ϕ coverage ~ 49% of 2π• Current = 180 μA• Polarization = 88%
Kinematics
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Transverse Dataset
CIPANP 2015Nuruzzaman 8
Δ peak
Simulation at E = 1.16 GeV
elastic peak
Toroidal magnet spectrometer current [A]
Data on 3 types of targets • Hydrogen• Aluminum• Carbon
Transverse polarization: • Horizontal• Vertical
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Transverse Dataset
CIPANP 2015Nuruzzaman 8
Data on 3 types of targets • Hydrogen• Aluminum• Carbon
Transverse polarization: • Horizontal• Vertical
Δ peakThis talk: Inelastic e-p
scattering with a Δ(1232) final state at E = 1.16 GeV
Simulation at E = 1.16 GeV
elastic peak
Toroidal magnet spectrometer current [A]
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Transverse Dataset
CIPANP 2015Nuruzzaman 8
Data on both side of the inelastic peak were taken to
study the elastic dilution
Δ peakThis talk: Inelastic e-p
scattering with a Δ(1232) final state at E = 1.16 GeV
Simulation at E = 1.16 GeV
elastic peak
Toroidal magnet spectrometer current [A]
Data on 3 types of targets • Hydrogen• Aluminum• Carbon
Transverse polarization: • Horizontal• Vertical
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Transverse Dataset
CIPANP 2015Nuruzzaman 8
Δ peak
Other datasets: • in the →Δ region (Al, C)𝑁• in the →Δ region (H𝑁 2, 0.877 GeV) • elastic scattering (H2, Al, C)
• elastic Møller scattering (H2)• in the DIS region (3.3 GeV) • in pion photoproduction
This talk: Inelastic e-p scattering with a Δ(1232)
final state at E = 1.16 GeV
Simulation at E = 1.16 GeV
elastic peak
Data on both side of the inelastic peak were taken to
study the elastic dilutionToroidal magnet spectrometer current [A]
Data on 3 types of targets • Hydrogen• Aluminum• Carbon
Transverse polarization: • Horizontal• Vertical
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Asymmetries from Main Detector Signals
CIPANP 2015Nuruzzaman 9
Not corrected for• False beam asymmetries• Polarization• Backgrounds
ϵR
ϵL
ϵraw = ϵL + ϵR
2
~0.6 V
Right PMT
Left PMT
e-Integrating signal
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Correction for False Beam Asymmetries
CIPANP 2015Nuruzzaman 10
Correcting for the helicity correlated changes in beam position, angle and energy using linear regression
Ti = X, X´, Y, Y´ & Eϵreg = ϵraw - ∂ϵraw ∂Ti
∆Ti ∑i
Not corrected for• Polarization• Backgrounds
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Correction for False Beam Asymmetries
CIPANP 2015Nuruzzaman 10
Correcting for the helicity correlated changes in beam position, angle and energy using linear regression
Ti = X, X´, Y, Y´ & Eϵreg = ϵraw - ∂ϵraw ∂Ti
∆Ti ∑i
∆X∂ϵraw ∂X
Not corrected for• Polarization• Backgrounds
0° 45° 90° 135° 180° 225° 270° 315°
example: ~2hr measurement
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Correction for False Beam Asymmetries
CIPANP 2015Nuruzzaman 10
Correcting for the helicity correlated changes in beam position, angle and energy using linear regression
ϵreg = ϵraw - ∂ϵraw ∂Ti
∆Ti ∑i
Not corrected for• Polarization• Backgrounds
Small corrections (<1%), compared to the size of the asymmetry
example: ~2hr measurement
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Regressed Transverse Asymmetries
11Nuruzzaman CIPANP 2015
Fit function for horizontal: ϵreg
H sin(ϕ)
Regressed asymmetries Not corrected for polarization and backgrounds
0° 45° 90° 135° 180° 225° 270° 315°
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Regressed Transverse Asymmetries
11Nuruzzaman CIPANP 2015
Fit function for horizontal: ϵreg
H sin(ϕ)vertical: ϵreg
V cos(ϕ)
~90o phase offset
Regressed asymmetries Not corrected for polarization and backgrounds
0° 45° 90° 135° 180° 225° 270° 315°
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Regressed Transverse Asymmetries
12Nuruzzaman CIPANP 2015
ϵreg = 5.1 ± 0.4 (stat) ppmMeasured asymmetry
Error weighted (H and V) regressed asym. Corrected for detector acceptance Not corrected for polarization and backgrounds
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Summary of Uncertainties on ϵreg
13Nuruzzaman CIPANP 2015
dominated by statistics
systematics are under control
Error weighted (H and V) regressed asym. Corrected for detector acceptance Not corrected for polarization and backgrounds
ϵreg = 5.1 ± 0.4 (stat) ± 0.1 (sys) ppmMeasured asymmetry
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Extraction of Physics Asymmetry
14Nuruzzaman CIPANP 2015
Beam Normal Single Spin Asymmetry
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Extraction of Physics Asymmetry
14Nuruzzaman CIPANP 2015
Beam Normal Single Spin Asymmetry
Extracting Bn from the experimental measured asymmetry by removing false asymmetries
ϵreg = ϵraw -∂ϵraw
∂Ti ∆Ti, cor. for det. acpt.∑
i
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Extraction of Physics Asymmetry
14Nuruzzaman CIPANP 2015
Beam Normal Single Spin Asymmetry
Extracting Bn from the experimental measured asymmetry by removing false asymmetries correcting for the beam polarization
ϵreg = ϵraw -∂ϵraw
∂Ti ∆Ti, cor. for det. acpt.∑
i
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Extraction of Physics Asymmetry
14Nuruzzaman CIPANP 2015
Beam Normal Single Spin Asymmetry
Extracting Bn from the experimental measured asymmetry by removing false asymmetries correcting for the beam polarization removing background asymmetries
Bbi = Background asymmetries
fbi = dilution factors
ϵreg = ϵraw -∂ϵraw
∂Ti ∆Ti, cor. for det. acpt.∑
i
• Al : aluminum window backgrounds
• BB : scattering from the beamline• QTor: neutral particles in the magnet acpt.• el : elastic radiative tail
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Extraction of Physics Asymmetry
14Nuruzzaman CIPANP 2015
Beam Normal Single Spin Asymmetry
Extracting Bn from the experimental measured asymmetry by removing false asymmetries correcting for the beam polarization removing background asymmetries correcting for radiative tails and other
kinematic correction • Al : aluminum window backgrounds
• BB : scattering from the beamline• QTor: neutral particles in the magnet acpt.• el : elastic radiative tail
Bbi = Background asymmetries
fbi = dilution factors
Mkin = kinematic correction
ϵreg = ϵraw -∂ϵraw
∂Ti ∆Ti, cor. for det. acpt.∑
i
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Extraction of Physics Asymmetry and Uncertainties
15Nuruzzaman CIPANP 2015
Beam Normal Single Spin Asymmetry
at kinematics• <E> = 1.16 GeV• <W> = 1.2 GeV• <θ> = 8.3°• <Q2> = 0.021 GeV2
~ 38% measurement of beam normal single asymmetry in Δ resonance production
Bn = 43 ± 16 ppmPreliminary
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Summary of Uncertainties
16Nuruzzaman CIPANP 2015
Beam Normal Single Spin Asymmetry
Summary of Uncertainties
Bn = 43 ± 16 ppmPreliminary
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Summary of Uncertainties
16Nuruzzaman CIPANP 2015
Beam Normal Single Spin Asymmetry
Bn = 43 ± 16 ppm
Summary of Uncertainties
Preliminary
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Summary of Uncertainties
16Nuruzzaman CIPANP 2015
Beam Normal Single Spin Asymmetry
Bn = 43 ± 16 ppm
Summary of Uncertainties
Preliminary
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Summary of Uncertainties
16Nuruzzaman CIPANP 2015
Beam Normal Single Spin Asymmetry
Bn = 43 ± 16 ppm
Summary of Uncertainties
Preliminary
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Summary of Uncertainties
16Nuruzzaman CIPANP 2015
Beam Normal Single Spin Asymmetry
Bn = 43 ± 16 ppm
Summary of Uncertainties
Preliminary
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Summary of Uncertainties
16Nuruzzaman CIPANP 2015
Beam Normal Single Spin Asymmetry
Biggest contribution is from elastic radiative tail
Bn = 43 ± 16 ppm
Summary of Uncertainties
Preliminary
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Elastic Radiative Tail
CIPANP 2015Nuruzzaman 17
Preliminary BNSSA in elastic e-p scattering using Q-weak apparatus isBn
el = -5.35 ± 0.07 (stat) ± 0.15 (sys) ppmat kinematics• <E> = 1.16 GeV• <θ> = 7.9°• <Q2> = 0.025 GeV2
Background Corrections Elastic radiative tail
Beam Normal Single Spin Asymmetry
At similar kinematics• ϵreg
in has opposite sign to the ϵregel
• Bnin is much larger than the absolute
value Bnel
Asymmetry
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Elastic Radiative Tail
CIPANP 2015Nuruzzaman 17
Bel = -5.1 ± 0.5 ppm
Scaled elastic asym. (Bn
el~√Q2) to inelastic kinematics, additional 10% uncertainty for scaling
Preliminary BNSSA in elastic e-p scattering using Q-weak apparatus isBn
el = -5.35 ± 0.07 (stat) ± 0.15 (sys) ppmat kinematics• <E> = 1.16 GeV• <θ> = 7.9°• <Q2> = 0.025 GeV2
Background Corrections Elastic radiative tail
Beam Normal Single Spin Asymmetry
At similar kinematics• ϵreg
in has opposite sign to the ϵregel
• Bnin is much larger than the absolute
value Bnel
Asymmetry
Background asymmetry from elastics
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Elastic Radiative Tail
CIPANP 2015Nuruzzaman 18
Background Corrections Elastic radiative tail
Beam Normal Single Spin Asymmetry
Δ peak
Bel = -5.1 ± 0.5 ppm
Dilution
elastic peak
Toroidal magnet spectrometer current [A]
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Elastic Radiative Tail
CIPANP 2015Nuruzzaman 18
fel = 0.70 ± 0.07
Background Corrections Elastic radiative tail
Beam Normal Single Spin Asymmetry
This prelim. analysis takes10% additional uncertainty due to discrepancy between data and simulation (incomplete)
Residual =(data – sim.)
data
Bel = -5.1 ± 0.5 ppm
Dilution
elastic peak
Δ peak
elastic peak
Δ peak
Toroidal magnet spectrometer current [A] Toroidal magnet spectrometer current [A]
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Asymmetry is Diluted by Elastic Radiative Tail
CIPANP 2015Nuruzzaman 19
Simplifying* the extraction equation(* for illustrative purposes)
0.214×43 ppm = 9.2 ppm ≈ (5.1/0.875) - 0.70×(-5.1) - 0.3 = 5.8 - (-3.6) - 0.3 ppm
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Asymmetry is Diluted by Elastic Radiative Tail
CIPANP 2015Nuruzzaman 19
Simplifying* the extraction equation(* for illustrative purposes)
0.214×43 ppm = 9.2 ppm ≈ (5.1/0.875) - 0.70×(-5.1) - 0.3 = 5.8 - (-3.6) - 0.3 ppm
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Asymmetry is Diluted by Elastic Radiative Tail
CIPANP 2015Nuruzzaman 19
Plot to illustrate the dependence of Bn on fel
Simplifying* the extraction equation(* for illustrative purposes)
0.214×43 ppm = 9.2 ppm ≈ (5.1/0.875) - 0.70×(-5.1) - 0.3 = 5.8 - (-3.6) - 0.3 ppm
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Asymmetry is Diluted by Elastic Radiative Tail
CIPANP 2015Nuruzzaman 19
• The extraction of Bn depends strongly on the elastic dilution• Careful study is ongoing to reduce uncertainty in fel
Plot to illustrate the dependence of Bn on fel
Simplifying* the extraction equation(* for illustrative purposes)
0.214×43 ppm = 9.2 ppm ≈ (5.1/0.875) - 0.70×(-5.1) - 0.3 = 5.8 - (-3.6) - 0.3 ppm
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Comparison of Bn to Theory Calculation
20Nuruzzaman CIPANP 2015
• sensitive to γ*ΔΔ form factors
In the calculation there is lattice QCD parameterizations for γ*ΔΔ form factors which are not so well known
large asymmetries in the forward region
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Comparison of Bn to Theory Calculation
20Nuruzzaman CIPANP 2015
• sensitive to γ*ΔΔ form factors• Q-weak transverse dataset along with world data has potential to
constrain models and study charge radius and magnetic moment of Δ
Measured Bn agrees with theoretical calculation
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0° 45° 90° 135° 180° 225° 270° 315°
Summary
CIPANP 2015Nuruzzaman 21
Q-weak has measured Bn in the N-to-Δ transition on H2
43 ± 16 ppm<E> = 1.16 GeV, <W> = 1.2 GeV, <θ> = 8.3°, <Q2> = 0.021 GeV2
• preliminary result shows agreement with a theoretical calculation
• physics implications of the model needs investigation
• sensitive to γ*ΔΔ form factors• working towards the improvement in systematic
uncertainty
Data for Bn at low Q2 in elastic and inelastic scattering with a Δ(1232) final state from several targets and energy are available.
• looking for model predictions !• Q-weak transverse dataset along with world
data has potential to constrain models and study charge radius and magnetic moment of Δ
Δ peak
Toroidal magnet spectrometer current [A]
elastic peak
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Acknowledgement
CIPANP 2015Nuruzzaman 22
Q-weak Collaboration
Special thanks to Babara Pasquini for providing theory predictions at Q-weak kinematics
D.S. Armstrong, A. Asaturyan, T. Averett, J. Balewski, J. Beaufait, R.S. Beminiwattha, J. Benesch, F. Benmokhtar, J. Birchall, R.D. Carlini1, J.C. Cornejo, S. Covrig, M.M. Dalton, C.A. Davis, W. Deconinck, J. Diefenbach, K. Dow, J.F. Dowd, J.A. Dunne, D. Dutta, W.S. Duvall, M. Elaasar, W.R. Falk, J.M. Finn1, T. Forest, D. Gaskell, M.T.W. Gericke, J. Grames, V.M. Gray, K. Grimm, F. Guo, J.R. Hoskins, K. Johnston, D. Jones, M. Jones, R. Jones, M. Kargiantoulakis, P.M. King, E. Korkmaz, S. Kowalski1, J. Leacock, J. Leckey, A.R. Lee, J.H. Lee, L. Lee, S. MacEwan, D. Mack, J.A. Magee, R. Mahurin, J. Mammei, J. Martin, M.J. McHugh, J. Mei, R. Michaels, A. Micherdzinska, K.E. Myers, A. Mkrtchyan, H. Mkrtchyan, A. Narayan, L.Z. Ndukum, V. Nelyubin, Nuruzzaman, W.T.H van Oers, A.K. Opper, S.A. Page1, J. Pan, K. Paschke, S.K. Phillips, M.L. Pitt, M. Poelker, J.F. Rajotte, W.D. Ramsay, J. Roche, B. Sawatzky,T. Seva, M.H. Shabestari, R. Silwal, N. Simicevic, G.R. Smith2, P. Solvignon, D.T. Spayde, A. Subedi, R. Subedi, R. Suleiman, V. Tadevosyan, W.A. Tobias, V. Tvaskis, B. Waidyawansa, P. Wang, S.P. Wells, S.A. Wood, S. Yang, R.D. Young, S. Zhamkochyan
1Spokespersons 2Project Manager Grad Students
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CIPANP 2015Nuruzzaman 23
Backup Slides
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Δ Elastic Form Factors
CIPANP 2015Nuruzzaman
There are 4 elastic form factors (spin 3/2)
GE0(Q2), GM1(Q2), GE2(Q2), GM3(Q2)
J. Segovia et. al. arXiv:1308.5225 (2013)
Q2 = 0 define dimensionless multipole moments• GE0(0) = eΔ charge• GM1(0) μ∝ Δ magnetic moment• GE2(0) D∝ Δ dipole moment• GM3(0) O∝ Δ octopole moment
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Summary of Measurements
CIPANP 2015Nuruzzaman
N + πN + 2π
D13
F15
...
PVA4Q-weakSOLID
Higher beam energies allow more intermediate states
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Two Photon Exchange
CIPANP 2015Nuruzzaman
Form factors:
Δp, Δ, Xp
e- e-
γ γ
pp
γ
Δp
γ
Xp
γ+ + +
Δp
γ
ΔΔ
γ+ +
FF TFF
TFF
Don’t know
This measurement
will help
Δp, Δ, Xp
e- e-
γ γp(n)
π0(π+)
Don’t know XΔ
γ
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Why Bn=0 at θ=0 ?
CIPANP 2015Nuruzzaman
σ − σ ∝2me
QεL
ε(1-ε) =2me
QQν(1-ε)
1/2
Qν
=2me
ν(1-ε)
νel = 0.013νin = 0.348νmin = 300 MeV + K. E.
Private communication with Carl Carlson
(1-ε) = ε(1/ε-1)
ε-1 = 1+ 2 ν2
Q21+ tan2θe
2
= 2ε ν2
Q21+ tan2θe
2
Bn = 2T1γ × Im T2γ
|T1γ|σ − σσ + σ =
ν = KP
K is the average incoming four-momenta of the electronP is the average outgoing four-momenta of the proton
=ν2
Q21+ tan2θe
2ν4meε
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Regression Scheme Dependence
CIPANP 2015Nuruzzaman
Horizontal transverseCorrections were small
(0.15% <<10% stat error)
Vertical transverseCorrections were small (1.7% <<18% stat error)
Regression scheme dependence is ~ 0.005 ppm (0.1%)
Horizontal
Vertical
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Regression Scheme Dependence
CIPANP 2015Nuruzzaman
Horizontal transverseCorrections were small
(0.15% <<10% stat error)
Vertical transverseCorrections were small (1.7% <<18% stat error)
Regression scheme dependence is ~ 0.005 ppm (0.1%)
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Summary of Uncertainties on ϵreg
ϵreg = 5.07 ± 0.44 (stat) ± 0.08 (sys) ppm
Nuruzzaman CIPANP 2015
uncertainty is dominated by statistics
All other systematics are under control
corrected for detector acceptance
Measured asymmetry
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Fit Scheme Dependence
CIPANP 2015Nuruzzaman
Horizontal Transverse
Vertical Transverse
Fit Function ϵregH [ppm] ϵreg
H(n) – ϵregH(1)
[ppm]1 ϵreg
H sin(ϕ+ϕ0) + C 5.343 ± 0.532 0.000
2 ϵregH
sin(ϕ+ϕ0) 5.344 ± 0.532 +0.001
3 ϵregH
sin(ϕ) + C 5.303 ± 0.533 −0.040
4 ϵregH
sin(ϕ) 5.304 ± 0.533 −0.039
Fit Function ϵregV [ppm] ϵreg
V(n) – ϵregV(1)
[ppm]1 ϵreg
V cos (ϕ+ϕ0) + C 4.525 ± 0.806 0.000
2 ϵregV
cos(ϕ+ϕ0) 4.510 ± 0.806 −0.015
3 ϵregV
cos (ϕ) + C 4.458 ± 0.807 −0.067
4 ϵregV
cos (ϕ) 4.442 ± 0.807 −0.083
• Small fit scheme dependence for horizontal transverse, slightly higher for vertical transverse. Probably low statistics!
• The PV contamination to the transverse asymmetry is buried under this uncertainty.
Fit scheme dependence is ~0.05 ppm (1.0%)
C = APV + background
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Detector Acceptance Correction
Nuruzzaman CIPANP 2015
• A single detector measures the average asymmetry over 49% of azimuth
• Transverse measurement uses octant asymmetries and need to correct for the octant coverage
cosϕ = cosϕ0
sin ΔϕΔϕ
1/Mϕ
ϵreg = Mϕϵinreg
Detector Acceptance Correction
ϵreg = 5.1 ppm
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Cancellation of HCBA with IHWP
CIPANP 2015Nuruzzaman
An Insertable Half Wave Plate (IHWP) can flip the electron spin. Inserting IHWP: • sign of some helicity correlated (HC) false asymmetries remains unchanged
Horizontal Transverse
cancellation of HC false asym.
Fit function: ϵregIN/OUT sin(ϕ)
physics asym. changes sign
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Regression Corrections
CIPANP 2015Nuruzzaman
Small corrections, compared to the size of the asymmetry
Corrections:∂ϵraw
∂Ti ∆Ti
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Correction for False Beam Asymmetries
CIPANP 2015Nuruzzaman
Not corrected for• Polarization• Backgrounds
Correcting for the helicity correlated changes in beam position, angle and energy using linear regression
Ti = X, X´, Y, Y´ & Eϵreg = ϵraw - ∂ϵraw ∂Ti
∆Ti ∑i
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CIPANP 2015Nuruzzaman