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Performance Study of Pair-monitor

Performance Study of Pair-monitor. 2009/06/30 Yutaro Sato Tohoku Univ. Pair-monitor. Pair-monitor is a silicon pixel detector to measure the beam profile at IP. The distribution of the pair B.G. is used. The same charges with respect to the oncoming beam are scattered with large angle.

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Performance Study of Pair-monitor

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  1. Performance Study of Pair-monitor 2009/06/30 Yutaro Sato Tohoku Univ.

  2. Pair-monitor Pair-monitor is a silicon pixel detector to measure the beam profile at IP. • The distribution of the pair B.G. is used. • The same charges with respect to the oncoming beam are scattered with large angle. • The scattered particles have information on beam shape. • The pair-monitor is required to measure the beam size with 10% accuracy. Distribution of pair B.G. e+ Pair-monitor 1σx (nominal) 2 σx e+ beam Y [cm] Y [cm] IP e- beam e- X [cm] X [cm]

  3. Content Tohoku group has developed • development of the readout ASIC for the pair-monitor. • the performance study of pair-monitor. • The combined analysis with BeamCal was performed. • Pair-monitor is a silicon pixel detector to measure hit counts. • BeamCal is a calorimeter to measure energy deposit. • Beam parameters (σx, σy, Δy/σy ) were reconstructed using the matrix method (second order). Offset Δy [nm] e- bunch e+ bunch

  4. Simulation setup Simulation setup • CM energy : 500GeV • Noinal beam size (σx0, σy0, σz0, ) = ( 639nm, 5.7nm, 300 μm) • Tools : CAIN (Pair background generator) Jupiter (Tracking emulator) • Magnetic field : 3.5 T + anti-DID • Pair-monitor is located in front of the BeamCal. • Scattered e+ was studied. BeamCal LumiCal IP BeamCal Pair-monitor

  5. Matrix method for reconstruction The beam parameters are reconstructed by the Taylor expansion. → The measurement variables were studied. Measurement variable Matrix of the first order term Matrix of the second order term Beam parameter (X) The beam parameters are reconstructed by the inverse matrix.

  6. Radial distribution The radial distribution changes, due to the difference of Pt’ kick at IP. ( Pt’ is the perpendicular momentum to the e- beam line. ) Measurement variables were defined. • Rmax : Radius to contain 97.5% of the all hits. ( Pair-monitor ) • Rave : Average radius weighted energy deposit. ( BeamCal ) σx = 639 [nm] σx = 958.5 [nm] Pt’ e+ z’ axis e- bunch e+ bunch Pt’ [MeV] ( Ri is the radius of the i-th cell )

  7. Variable : Rmax and Rave Rmax and Rave were obtained with various beam parameters. Rmax and Rave decrease for larger horizontal beam size (σx). Rave[cm]v.s. Horizontal beam size (σx) [nm] Rmax[cm] v.s. Horizontal beam size (σx) [nm] Rmax [cm] Rave [cm] Horizontal beam size (σx) [nm] Horizontal beam size (σx) [nm] σy = 5.7 [nm] σy = 8.55 [nm] σy = 11.4 [nm] σy = 17.1 [nm]

  8. Azimuthal distribution The azimuthal distribution at IP also changes with the beam parameters. The measurement variables with the pair-monitor were defined. → ND1/Nallfor vertical beam size (σy) NU/ND2 for relative offset (Δy/σy) σy = 5.7 [nm] σy = 17.1 [nm] e+ e- bunch (z’ axis) e+ e+ bunch φ’[rad] Hit distribution

  9. Variable : ND1/Nall, NU/ND2 ND1/Nall and NU/ND2were obtained with various beam parameters. ND1/Nall and NU/ND2change as a function of the beam parameters. ND1/Nallv.s. Vertical beam size (σy) [nm] σx = 639 [nm] σx = 702.9 [nm] σx = 798.75 [nm] σx = 958.5 [nm] NU/ND2v.s. Vertical beam size (σy) [nm] ND1/Nall NU/ND2 Vertical beam size (σy) [nm] Δy / σy = 0 Δy / σy = 0.2 Δy / σy = 0.4 Vertical beam size (σy) [nm]

  10. Variable : 1/Nall, 1/Edepall The total number of hits (Nall) and total energy deposit (Edepall) also have information of the beam parameters. 1/Nall and 1/Edepall change as a function of the σx and σy. 1/Nallv.s.Vertical beam size (σy) [nm] σx = 639 [nm] σx = 702.9 [nm] σx = 798.75 [nm] σx = 958.5 [nm] Δy / σy = 0 Δy / σy = 0.2 Δy / σy = 0.4 1/Nall 1/Nall Vertical beam size (σy) [nm] Vertical beam size (σy) [nm]

  11. Reconstruction of beam size Measurement variables • Pair-monitor … Rmax, ND1 / Nall, NU / ND2, 1 / Nall • BeamCal … Rave, ND / Nall, NU / ND, 1 / Edepall Matrix components were determined by the fitting with the second polynomials. Matrix of the second order term Measurement variable Beam parameter (X) Matrix of the first order term Beam parameter can be reconstructed.

  12. Results (σy) Beam sizes were reconstructed using the matrix. The combined analysis provides more precise measurement. Measurement of σy [ σx ] 639 [nm] 702.9 [nm] 766.8 [nm] 798.75 [nm] 830.7 [nm] 958.5 [nm] [ Δy/σy ] ● 0 ■ 0.1 ▲ 0.25 ▼ 0.3 ○ 0.4 Accuracy [%] BeamCal Accuracy [%] Accuracy [%] Pair-monitor + BeamCal Pair-monitor Vertical beam size (σy) [nm] Vertical beam size (σy) [nm]

  13. Results (σx, σy, Δy/σy) The accuracy of measurements is as follows.

  14. Summary • Pair-monitor and BeamCal measures the beam profile at IP. • Pair-monitor is a silicon pixel detector to measure the hit count. • BeamCal is a calorimeter to measure the energy deposit. • The combined analysiswith BeamCal was performed. • Beam parameters (σx, σy, Δy/σy ) are reconstructed using the matrix method (second order). • The combined analysis can provide more precise measurement.

  15. Backup

  16. Matrix method for reconstruction • Inverse matrix of a non-square matrix A is defined as follows. Beam parameter (X) Measurement variable Matrix of the first order term

  17. Rmax and Rave ( Ri is the radius of the i-th cell ) Rmax[cm] v.s. Horizontal beam size (σx) [nm] Rave[cm]v.s. Horizontal beam size (σx) [nm] Rmax [cm] Rave [cm] Δy / σy = 0 Δy / σy = 0.2 Δy / σy = 0.4 Horizontal beam size (σx) [nm] Horizontal beam size (σx) [nm]

  18. Azimuthal distribution Δy / σy = 0 Δy / σy = 1.0 e+ e- bunch (z’ axis) e+ e+ bunch φ’[rad] The measurement variable was defined. → NU/ND2

  19. Variable : ND1/Nall, NU/ND2 ND1/Nallv.s. Vertical beam size (σy) [nm] NU/ND2v.s. Vertical beam size (σy) [nm] σx = 639 [nm] σx = 702.9 [nm] σx = 798.75 [nm] σx = 958.5 [nm] ND1/Nall NU/ND2 Δy / σy = 0 Δy / σy = 0.2 Δy / σy = 0.4 Vertical beam size (σy) [nm] Vertical beam size (σy) [nm]

  20. Variable : 1/Nall, 1/Edepall 1/Edepallv.s. Vertical beam size (σy) [nm] σx = 639 [nm] σx = 702.9 [nm] σx = 798.75 [nm] σx = 958.5 [nm] Δy / σy = 0 Δy / σy = 0.2 Δy / σy = 0.4 Vertical beam size (σy) [nm] Vertical beam size (σy) [nm]

  21. Result (σx) [ σx ] 639 [nm] 702.9 [nm] 766.8 [nm] 798.75 [nm] 830.7 [nm] 958.5 [nm] [ Δy/σy ] ● 0 ■ 0.1 ▲ 0.25 ▼ 0.3 ○ 0.4 BeamCal Pair-monitor Pair-monitor + BeamCal

  22. Result (Δy/σy) [ σx ] 639 [nm] 702.9 [nm] 766.8 [nm] 798.75 [nm] 830.7 [nm] 958.5 [nm] [ Δy/σy ] ● 0 ■ 0.1 ▲ 0.25 ▼ 0.3 ○ 0.4 BeamCal Pair-monitor + BeamCal Pair-monitor

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