Analysis of Magnet Errors in CEPC and LEP: Impact on Accelerator Performance

Investigating the effects of magnet errors on the Double Arc (DA) in the CEPC partial double ring, including alignment parameters, field errors, and their consequences on the orbit, tune, and stability of the beam. The study explores quadrupole, bending magnet, and sextupole field errors, highlighting changes in the orbit, resonance tuning, and stability characteristics through detailed simulations and tracking.

• Magnet Errors
• CEPC
• LEP
• Accelerator Performance
• Orbit Correction

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1. Magnet error effect on DA in CEPC partial double ring Sha Bai, Dengjie Xiao, Yiwei Wang, Dou Wang, Feng Su, Huiping Geng CEPC AP meeting 2016-03-25

2. LEP Alignment parameters From: LEP Design Report---------LEP2 P177

3. Magnet Field error 1 From: LEP Design Report---------LEP P18

4. Magnet Field error 2 From: LEP Design Report---------LEP P19

5. Magnet Field error 3 From: LEP Design Report---------LEP P19

6. DA without error Lattice CEPC-ARC1.0-PDR1.0-FFS (WD1.0) y y 80 dp p 2 60 dp p 1.5 dp p 1 dp p 0.5 dp p 0 40 dp p 0.5 dp p 1 dp p 1.5 20 dp p 2 20x x 20 10 0 10

7. Quadrupole field error on DA Orbit in X Orbit in Y With quad B*L error With quad B*L error With quadrupole B*L error (whole ring including FFS) (whole ring including FFS) (whole ring including FFS) x= 0.0793130 y= 0.2740339 With quad magnet field errors, orbit has no change, but tune is changed a little bit Orbit correction is not needed With Quadrupole and sextupole field errors, orbit has no change. Tracking in 240 turns, coupling factor =0.003 for y

8. Bending magnets field error on DA Orbit in X Orbit in Y With bend B*L error With bend B*L error With bend B*L error (whole ring including FFS) (whole ring including FFS) (whole ring including FFS) x= 0 y= 0 With bending magnet field errors, horizontal orbit has changed a lot, but vertical has no change Tune has changed to be an integer resonance, beam is not stable. Orbit correction is needed in horizontal Tracking in 240 turns, coupling factor =0.003 for y

9. Sextupole field error on DA Orbit in X Orbit in Y With sextupole B*L error With sextupole B*L error With sextupole B*L error (whole ring including FFS) (whole ring including FFS) (whole ring including FFS) x= 0.0799972 y= 0.2198675 With sextupole magnet field errors, tune has no change. Orbit has no change and orbit correction is not needed. DA is reduced due to the the chromatic aberration. Tracking in 240 turns, coupling factor =0.003 for y

10. Bending magnets misalignment errors on DA Orbit in X Orbit in Y With bends misalignment error With bends misalignment error With bends misalignment error (whole ring including FFS) (whole ring including FFS) (whole ring including FFS) x= 0.0799941 y= 0.2198752 With bends misalignment errors, tune has no change. Orbit has no change and orbit correction is not needed. DA seems not so sensitive to bends misalignment errors in CEPC partial double ring. Tracking in 240 turns, coupling factor =0.003 for y

11. Quadrupole misalignment errors on DA Orbit in X Orbit in Y With quads misalignment error With quads misalignment error With quads misalignment error (whole ring including FFS) (whole ring including FFS) (whole ring including FFS) x= 0 y= 0 With quads misalignment errors, both horizontal and vertical orbit have changed a lot. Tune has changed to be an integer resonance, beam is not stable. Orbit correction is needed. Tracking in 240 turns, coupling factor =0.003 for y

12. Sextupole misalignment errors on DA Orbit in X Orbit in Y With quads misalignment error With quads misalignment error With sextupole misalignment error (whole ring including FFS) (whole ring including FFS) (whole ring including FFS) x= 0.113601 y= 0.5 With sextupole misalignment errors, both horizontal and vertical orbit have changed. Tune has changed to be a half integer resonance, beam is not stable. Orbit correction is needed. Tracking in 240 turns, coupling factor =0.003 for y

13. Summary and Prospect LEP errors are used in CEPC magnet error analysis. Bending magnets strength errors have a large effect on Dynamic aperture, it reaches an integer resonance and beam is not stable. Horizontal orbit has changed a lot, and orbit correction is needed. Quadrupole misalignment errors have pushed the DA to zero, and it reaches an integer resonance, beam is not stable. Sextupole misalignment errors result in a half integer resonance, beam is quite not stable. Multipole errors will be analyzed and orbit correction manipulation.