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Beam Momentum Measurement Using TOFs: Progress Report from the Analysis Meeting

This report provides insights into the progress made in beam momentum measurements using Time of Flight (TOF) detectors, discussed during the analysis meeting held on January 22, 2008. Key topics include simulations with G4MICE for muon beams propagated from TOF0, momentum reconstruction challenges, and the development of TofTrack reconstruction class. The intricacies of measuring momentum, associated uncertainties, and future prospects for momentum reconstruction are also detailed, with emphasis on technical challenges and collaborations to enhance measurement accuracy.

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Beam Momentum Measurement Using TOFs: Progress Report from the Analysis Meeting

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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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