The analysis of timing measurements at the Muon Ionization Cooling Experiment

1. AMDG The analysis of timing measurements at the Muon Ionization Cooling Experiment Mark Rayner The University of Oxford IOP 2010, 31st March, University College London Timing measurements at the MICE experiment – 1

2. Why do we want high quality muon beams? q13, dCP nB/ng =6.1x10–10 ¹10–18 * Neutrino Factory direct CP violation searches Muon Cooling Channel Ionization Cooling negligible synchrotron radiation, small footprint s-channel (e.g. Higgs) cross-section enhanced by (mm /me)2 ~ 40,000 Muon Collider MICE Multi TeV 2-body interactions * W. Buchmuller. R. Peccei. T. Yanagida. Annu. Rev. Nucl. Part. Sci. (2005) The Universe contains 1.64 billion photons for every proton or neutron.* Why are there so few? Could neutrinos reveal the answer? How do you turn a grapefruit into a ping pong ball in a microsecond? Timing measurements at the MICE experiment – 2

3. The MICE cooling channel lattice element Feasibility Study-II of a Muon-Based Neutrino Source, ed., S. Ozaki, R. Palmer, M. Zisman, and J. Gallardo, BNL-52623 (2001). 15 MV/m 40 degrees pz0 = 200 MeV/c Dpz = 14 MeV/c Timing measurements at the MICE experiment – 3

4. SFOFO focussing – minimize babsorber G. Penn, MuCool note 71 Beam Envelope Equations in a Solenoidal Field Timing measurements at the MICE experiment – 4

5. The elements of an ideal cooling demonstration 1 Build one lattice element and treat it as a black box 2 Spectrometers – measure (x, px, y, py, t, pz) 3 A Neutrino Factory beam Timing measurements at the MICE experiment – 5

6. Difficulties with the demonstration 10 MV/m 90 degrees 15 MV/m 40 degrees Scattering Landau DE Timing measurements at the MICE experiment – 6

7. Reconstruction procedure Track through through each quad, and calculate s»leff + dF + dD zTOF1 – zTOF0 = 8 m Assume the path length S»zTOF1 – zTOF0 Q6 Q7 Q8 Q9 TOF0 TOF1 Estimate the momentum p/E = S/Dt Add up the total path S = s7 + s8 + s9 + drifts Calculate the transfer matrix Deduce (x’, y’) at TOF0 from (x, y) at TOF1 Deduce (x’, y’) at TOF1 from (x, y) at TOF0 Timing measurements at the MICE experiment – 7

8. Characterization of the ISIS muon beam line at RAL 3359 -610.0 205.8 18.99 -17.68 3600 1.17 -1.61 82.3 17.43 -107.6 -5.0 -5.84 11.81 602 Cov(x, px, y, py, pz) = UNITS: mm and MeV/c Timing measurements at the MICE experiment – 8

9. Comparison of matched and measured simulated input beams eN (mm) Timing measurements at the MICE experiment – 9

10. Conclusion • Timing measurements are surprisingly important at MICE • Longitudinal phase space must be phased correctly with the RF • Phase space measurements by the TOFs aid tracking before the lead degrader • …and the phase space measurement of low amplitude muons • The TOF detectors have already been used to characterize the beam line • First muons identified last January • Beam line magnet optical designs have been experimentally verified • Cooling will possible even without transverse re-weighting of the beam • The TOFs’ capability for measuring longitudinal phase space can also investigate: • The non-conservation of emittance for large spz • Emittance exchange between longitudinal and transverse phase space • 6D cooling with LiH wedge absorbers Timing measurements at the MICE experiment – 10 LDS