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Beam momentum measurement using TOFs: progress report

Beam momentum measurement using TOFs: progress report. Analysis meeting, 22 January 2008 Mark Rayner – Oxford/RAL. MICE Beam Line Design, Kevin Tilley, 16-XI-07. Beam parameters at Tof-0. Kevin’s realistic TURTLE beam of muons has been propagated starting at TOF0 by the G4MICE simulation code.

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Beam momentum measurement using TOFs: progress report

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  1. Beam momentum measurement using TOFs: progress report Analysis meeting, 22 January 2008 Mark Rayner – Oxford/RAL Analysis meeting: Beam momentum measurements using TOFs Tuesday, 22 January 2008

  2. MICE Beam Line Design, Kevin Tilley, 16-XI-07 Beam parameters at Tof-0 Kevin’s realistic TURTLE beam of muons has been propagated starting at TOF0 by the G4MICE simulation code Analysis meeting: Beam momentum measurements using TOFs Tuesday, 22 January 2008

  3. Stage 2 G4MICE simulation • 100 muons from Kevin’s realistic TURTLE beam: • Blue – positively charged particles, mainly mu+ • Red – negatively charged particles, mainly e- • Green – neutral particles, mainly photons Tracker 1 TOF1 TOF0 Cherenkov Q9 Q8 Q7 Analysis meeting: Beam momentum measurements using TOFs Tuesday, 22 January 2008

  4. TOF0 & Cherenkov Analysis meeting: Beam momentum measurements using TOFs Tuesday, 22 January 2008

  5. Quadrupoles 7, 8 and 9 Analysis meeting: Beam momentum measurements using TOFs Tuesday, 22 January 2008

  6. TOF1 & Tracker 1 Analysis meeting: Beam momentum measurements using TOFs Tuesday, 22 January 2008

  7. Amplitude analysis of muons surviving to TOF1 Analysis meeting: Beam momentum measurements using TOFs Tuesday, 22 January 2008

  8. Momentum reconstruction • Reconstruction class TofTrack being added to G4MICE • In close collaboration with Malcolm • Very simple to begin with • Designed to be useful before trackers are operating • Details to follow at CM20 • The following work is a look beyond that at the difficulties of doing something more sophisticated • The following numbers are Monte Carlo truth… • Designed to illustrate the intrinsic difficulties in reconstructing momentum given TOF0 and TOF1 data • No time measurement error • No transverse position measurement error • Neglect corner clippers • Use hit with most photoelectrons Analysis meeting: Beam momentum measurements using TOFs Tuesday, 22 January 2008

  9. 0.48 m 0.48 m MC p TOF1 muons MC p TOF1 Tof-0 Path between Tof-0 and Tof-1 r1=(t1, x1, y1,z1)|MC Some definitions: Pcrude guess= |b| g mm where b = (r1-r0)/[(t1-t0)c] |Dr^| = Ö{(x1-x0)2+(y1-y0)2} r0=(t0, x0, y0,z0)|MC Straight line between space points Straight line between Tof centres Actual path Tof-1 (same design for Tof-2) Crude guess p Correction factor = Analysis meeting: Beam momentum measurements using TOFs Tuesday, 22 January 2008

  10. Prospects for momentum reconstruction Analysis meeting: Beam momentum measurements using TOFs Tuesday, 22 January 2008

  11. Extra Slides Analysis meeting: Beam momentum measurements using TOFs Tuesday, 22 January 2008

  12. Transverse phase space: horizontal x px px / MeV -100 MeV – 100 MeV x / cm -40 cm – 40 cm Analysis meeting: Beam momentum measurements using TOFs Tuesday, 22 January 2008

  13. Transverse phase space: vertical y py py / MeV -100 MeV – 100 MeV y / cm -40 cm – 40 cm Analysis meeting: Beam momentum measurements using TOFs Tuesday, 22 January 2008

  14. Longitudinal phase space Analysis meeting: Beam momentum measurements using TOFs Tuesday, 22 January 2008

  15. Momentum measurement uncertainty • p = b g(b) m0 c • assume PID ascertains m0 • 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 • st1–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 Analysis meeting: Beam momentum measurements using TOFs Tuesday, 22 January 2008

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