1. MEASUREMENT OF EMITTANCE AND OTHER OPTICS QUANTITIES V. Blackmore 01/19

2. Depends on material Depends on magnetic lattice Depends on upstream beam line (mostly diffuser) Depends on particle species  backgrounds! Multiple scattering Ionisation Cooling Measure a change in emittance PHYSICS GOALS 02/19

3. THE MICE MUON BEAMLINE 03/19

4. The MICE Muon Beamline during Step I EMR 04/19

5. STEP I CHARACTERISATION 1 DOI: 10.1140/epjc/s10052-013-2582-810.1140/epjc/s10052-013-2582-8 05/19

6. MEASURING EMITTANCE IN MICE 06/19

7. MEASURING EMITTANCE Run 7469, selected (x, Px) distribution at TKU plane 1 07/19

8. RUN 7469 Conventional Magnet Current (A) D1304.99 D291.48 DS637.55 Q197.71 Q2122.13 Q384.91 Q4153.52 Q5205.76 Q6136.40 Q7133.91 Q8202.58 Q9172.96 Superconducting Coil Current (A) SSU-E2249 SSU-C278 SSU-E1234 SSU-M20.0 SSU-M10.0 FCU-upstream0.0 FCU-downstream0.0 SSD-M10.0 SSD-M20.0 SSD-E10.0 SSD-C0.0 SSD-E20.0 Taken on Oct 7 th 2015, from 15:39 to 16:48 (3, 200) mu+ optics Only 3 (of 5) coils powered in SSU Expect non-uniform field across tracker ISIS at 700MeV (not 800MeV) 08/19

9. SELECTION CRITERIA Only use particles that satisfy all of the following: 1.Have a spacepoint (hit) in TOF0 2.Have a spacepoint (hit) in TOF1 3.Have a spacepoint (hit) in all 5 tracker planes 4.Have a time-of-flight from TOF0  TOF1 between 27 and 40ns 5.Have a P-value greater than 0.05 assigned to them from the tracker’s Kalman fit routine The downstream tracker is ignored, as is TOF2/KL/EMR for the moment. PID selection can and will be improved. 14’392 particles to “have fun” with! 09/19

10. SANITY CHECKS ~1m PRY Upstream tracker (plane 5) 10/19

11. SANITY CHECKS Measurement at…Mean P TOF0  TOF1 Pattern Recognition (TKU)194.2 Kalman fit (TKU) Run 7469, |P| distribution at TKU plane 5 11/19

12. CONSISTENCY CHECKS Run 7469, Pt distribution at TKU plane 5 12/19

13. CONSISTENCY CHECKS Run 7469, Pz distribution at TKU plane 5 13/19

14. CALCULATING THE COVARIANCE MATRIX xyPxPy x859.91196.45-101.63-467.44 y196.451036.57425.48-147.08 Px-101.63425.48720.583.27 Py-467.44-147.083.27729.36 At tracker plane 1 (reference plane): From 14’392 particles: Comment: beam is not cylindrically symmetric 14/19

15. CALCULATING THE COVARIANCE MATRIX o Measure the beam at 5 planes, 5 potential places to measure emittance o Split beam sample into two, compare Twiss parameters at plane 5 (most upstream) and plane 1 (reference plane) o Reduces sample size to ~7’000 particles/sample z (mm) Run 7469, Twiss parameters at TKU 15/19

16. SOURCES OF UNCERTAINTY o Kalman track fit (currently) assumes a 4T uniform field o With E1-C-E2 coils powered at full current, and others at 0, field is not flat across tracker o PRY enhances field strength o MC studies in progress to assess fully o Can estimate effect from pattern recognition o Not a perfect estimate, as field variation will also affect circle radii… Field calculated assuming warm coil dimensions and no PRY 16/19

17. Plane 5 SOURCES OF UNCERTAINTY Plane 1Plane 5 Plane 1 NB: Emittance here is calculated using pattern recognition estimates, not Kalman track fit estimates as on previous slide Currently assume this Field calculated assuming warm coil dimensions and no PRY 17/19

18. SOURCES OF UNCERTAINTY o The degree to which the following affect the emittance measurement are under investigation: o Field non-uniformity – Kalman track fit can account for this o Field scale (i.e. PRY enhancement) o Improved coil geometry from field map data o Pion’s mis-identified as muons o Independent measurement of emittance using Step I method (TOF0  TOF1) can be used to cross-check measurement at tracker, by evolving ellipse back through SSU field to TOF1. 18/19

19. SUMMARY Run 7469, phase space distribution at TKU plane 1 19/19