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

Timing measurements at the MICE experiment – 2 Why do we want high quality muon beams? Ionization Cooling Muon Cooling Channel Neutrino Factory Muon Collider  13,  CP direct CP violation searches s-channel (e.g. Higgs) cross-section enhanced by (m  /m e ) 2 ~ 40,000 Multi TeV 2-body interactions negligible synchrotron radiation, small footprint n B /n  =6.1x10 –10  10 –18 * MICE * 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 – 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 (2001). 15 MV/m 40 degrees p z0 = 200 MeV/c  p z = 14 MeV/c

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

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

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

Timing measurements at the MICE experiment – 7 Reconstruction procedure Estimate the momentum p/E = S/  t Calculate the transfer matrix Deduce (x’, y’) at TOF1 from (x, y) at TOF0 Deduce (x’, y’) at TOF0 from (x, y) at TOF1 Assume the path length S  z TOF1 – z TOF0 s  l eff +  F +  D Track through through each quad, and calculate Add up the total path S = s 7 + s 8 + s 9 + drifts Q6Q7Q8Q9 TOF1TOF0 z TOF1 – z TOF0 = 8 m

Timing measurements at the MICE experiment – 8 Characterization of the ISIS muon beam line at RAL Cov(x, p x, y, p y, p z ) = UNITS: mm and MeV/c

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

Timing measurements at the MICE experiment – 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  pz Emittance exchange between longitudinal and transverse phase space 6D cooling with LiH wedge absorbers LDS