1. Analysis Meeting – m.rayner@physics.ox.ac.uk – Slide 1 Beam momentum measurement using TOFs: progress report Analysis Meeting, February 2008 Mark Rayner – Oxford/RAL

2. Analysis Meeting – m.rayner@physics.ox.ac.uk – Slide 2 Beams/scenarios to investigate Particle composition of beam –Muons/pions/protons 100% muon beams in current simulations Varying emittances and amplitude distributions –Effect of the beam line varies with particle amplitude Using a ‘realistic’ beam from Kevin in current simulations Stochastic processes –ON/OFF in G4MICE Energy loss –ON/OFF in G4MICE Include detector performance? –Just MC –G4MICE TOF reconstructed space points Peculiar problems: >144 space points in TOF0! Will be addressed by TofTrack Class work –Progress may need to be post CM20 when Malcolm returns from Fermilab

3. Analysis Meeting – m.rayner@physics.ox.ac.uk – Slide 3 G4MICE: Stage 2 Volumes 25cm 50cm 75cm -14m-6m -8m-10m-12m 0cm Active Area Tof-0 Cherenkov Active area Tof-1 75cm 40cm 20cm 70cm 1m 20cm 75cm 65cm 21cm 20cm 18cm Upstream Shield Q7 Q8 Q9 Special Virtual Planes -14.55m -14.05m -9.65m 5cm -13.7m -14.4m -14.6m -11.4m-7.9m -6.39m -6.53m -6.67m 25cm

4. Analysis Meeting – m.rayner@physics.ox.ac.uk – Slide 4 Scattering: ON, energy loss: ONScattering: OFF, energy loss: ON Scattering: ON, energy loss: OFFScattering: OFF, energy loss: OFF Analysis Meeting – m.rayner@physics.ox.ac.uk – Slide 4

5. Analysis Meeting – m.rayner@physics.ox.ac.uk – Slide 5 Scattering: ON, energy loss: ONScattering: OFF, energy loss: ON Scattering: ON, energy loss: OFFScattering: OFF, energy loss: OFF Analysis Meeting – m.rayner@physics.ox.ac.uk – Slide 5

6. Analysis Meeting – m.rayner@physics.ox.ac.uk – Slide 6 Scattering: ON, energy loss: ONScattering: OFF, energy loss: ON Scattering: ON, energy loss: OFFScattering: OFF, energy loss: OFF Analysis Meeting – m.rayner@physics.ox.ac.uk – Slide 6

7. Analysis Meeting – m.rayner@physics.ox.ac.uk – Slide 7 Energy loss and transmittance Scattering: ON, energy loss: ON Scattering: OFF, energy loss: ON Scattering: ON, energy loss: OFF Scattering: OFF, energy loss: OFF All muons Only muons which get through TOF1

8. Analysis Meeting – m.rayner@physics.ox.ac.uk – Slide 8 P_estimated [MeV]

9. Analysis Meeting – m.rayner@physics.ox.ac.uk – Slide 9 Extra Slides

10. Analysis Meeting – m.rayner@physics.ox.ac.uk – Slide 10 Beam parameters at Tof-0 MICE Beam Line Design, Kevin Tilley, 16-XI-07 Kevin’s realistic TURTLE beam of muons has been propagated starting at TOF0 by the G4MICE simulation code

11. Analysis Meeting – m.rayner@physics.ox.ac.uk – Slide 11 Amplitude analysis of muons surviving to TOF1

12. Analysis Meeting – m.rayner@physics.ox.ac.uk – Slide 12 Path between Tof-0 and Tof-1 0.48 m Tof-1 (same design for Tof-2) Tof-0 0.48 m Actual path Straight line between space points Straight line between Tof centres muons r 0 =(t 0, x 0, y 0,z 0 )| MC  r  | =  {(x 1 -x 0 ) 2 +(y 1 -y 0 ) 2 } Some definitions: p MC TOF1 P crude guess = |  m  where  = (r 1 -r 0 )/[(t 1 -t 0 )c] p MC TOF1 p Crude guess Correction factor = r 1 =(t 1, x 1, y 1,z 1 )| MC

13. Analysis Meeting – m.rayner@physics.ox.ac.uk – Slide 13 Prospects for momentum reconstruction

14. Analysis Meeting – m.rayner@physics.ox.ac.uk – Slide 14 Transverse phase space: horizontal x / cm px / MeV -40 cm – 40 cm -100 MeV – 100 MeV x px

15. Analysis Meeting – m.rayner@physics.ox.ac.uk – Slide 15 Transverse phase space: vertical y / cm py / MeV -40 cm – 40 cm -100 MeV – 100 MeV y py

16. Analysis Meeting – m.rayner@physics.ox.ac.uk – Slide 16 Longitudinal phase space

17. Analysis Meeting – m.rayner@physics.ox.ac.uk – Slide 17 Momentum measurement uncertainty p =  m 0 c –assume PID ascertains m 0 Timing uncertainty –Technical challenge: progress being made in Milano One counter = scintillator with 2 PMTs –“…a conservative request for single counters timing resolution is 60–70 ps” »MICE Note 145 Other factors: –2 planes per station »Rotated so as to yield ‘space points’ –Multiple space points per muon possible/likely  t1–t0 will be larger still Path length uncertainty –Software challenge: challenges remain… Multiple scattering in Tof-0, Cerenkov, Tof-1 and air Focusing in quadrupoles Q7, Q8 and Q9 Limited transverse position resolution