1. Optimization of the Luminosity using Beamstrahlung Photons
M. Ohlerich, W. Lohmann *
E.v. Oelson ** * **
FCAL 06 - München - M.Ohlerich

2. FCAL 06 - München - M.Ohlerich
Content
Introduction
Results of Simulations with GuineaPig
Summary
FCAL 06 - München - M.Ohlerich

3. FCAL 06 - München - M.Ohlerich
Introduction
Wanted: permanent high Luminosity
1st way: inverse Taylor-Matrix (Ch. Grah’s)
- nominal ILC observables must be known
- deviations should be only small
2nd way: look for quantities proportional to luminosity (W. Morse) which are mensurable with GamCAL and BeamCAL
FCAL 06 - München - M.Ohlerich

4. Mensurable Quantities
BCAL:
Number of Beamstrahlungs-Pairs
Energy of Beamstrahlungs-Pairs
GamCAL:
Energy of Beamstrahlung-Photons
Number of Beamstrahlung-Photons
FCAL 06 - München - M.Ohlerich

5. Coordinate System and Labeling (1)x z z y y z
offset_y
angle_y
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6. Coordinate System and Labeling (2)
Nominal IP z
Focal Point
waist_y
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7. Vertical Offset (y-direction)
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8. Vertical Offset (y-direction)
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9. Vertical Offset (y-direction)
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10. Vertical Angle (y-direction)
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11. Vertical Angle (y-direction)
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12. FCAL 06 - München - M.Ohlerich
Horizontal Angle (x)
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13. FCAL 06 - München - M.Ohlerich
Horizontal Angle (x)
FCAL 06 - München - M.Ohlerich

14. FCAL 06 - München - M.Ohlerich
Horizontal Angle (x)
FCAL 06 - München - M.Ohlerich

15. Vertical Waist-Shift (y)
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16. Horizontal Waist-Shift (x)
No dependence at all
FCAL 06 - München - M.Ohlerich

17. FCAL 06 - München - M.Ohlerich
Summary (1)
Analysis for Energies and Numbers:
Waist_y, angle_y, offset_y, sigma_x, sigma_y follow E_pairs(BCAL)/E_gamma
alpha_x, offset_x follow E_pairs (total)
sigma_z follows approximately E_pairs(total)/E_gamma
angle_x constant in considered interval
FCAL 06 - München - M.Ohlerich

18. FCAL 06 - München - M.Ohlerich
Summary (2)
Analysis done with:
offset_x, offset_y, angle_x, angle_y
waist_x, waist_y (symmetric)
sigma_x, sigma_y, sigma_z
What can be done else:
Unsymmetric changes for angles & waists
Tilt angle (if working in Guinea Pig)
Take effeciency of GamCAL into account
FCAL 06 - München - M.Ohlerich