Timing measurements at the MICE experiment – 1

The analysis of timing measurements at the Muon Ionization Cooling Experiment

Mark RaynerThe University of Oxford

IOP 2010, 31st March, University College London

AMDG

Timing measurements at the MICE experiment – 2

Why do we want high quality muon beams?

IonizationCooling

Muon Cooling Channel

NeutrinoFactory

MuonCollider

13, CP

direct CP violation searches

s-channel (e.g. Higgs) cross-section enhanced by

(m /me)2 ~ 40,000

Multi TeV 2-body interactions

negligible synchrotron radiation, small footprint

nB/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 elementFeasibility Study-II of a Muon-Based Neutrino Source, ed., S. Ozaki, R. Palmer, M. Zisman, and J. Gallardo, BNL-52623 (2001).

15 MV/m40 degrees

pz0 = 200 MeV/c

pz = 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 box2 Spectrometers – measure (x, px, y, py, t, pz)

3 A Neutrino Factory beam

Timing measurements at the MICE experiment – 6

Difficulties with the demonstration

15 MV/m40 degrees

10 MV/m90 degrees

ScatteringLandau 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 zTOF1 – zTOF0

s leff + F + D

Track through through each quad,

and calculate

Add up the total pathS = s7 + s8 + s9 + drifts

Q6 Q7 Q8 Q9

TOF1TOF0

zTOF1 – zTOF0 = 8 m

Timing measurements at the MICE experiment – 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 – 9

Comparison of matched and measured simulated input beams N

(m

m)

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