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Analysis meeting: Beam momentum measurements using TOFs Tuesday, 22 January 2008 Slide 1 of 10 [email protected] c.uk 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 Slide 1 of 10 Beam momentum measurement using

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Analysis meeting: Beam momentum measurements using TOFs Tuesday, 22 January 2008 Slide 3 of 10 Stage 2 G4MICE simulation 100 muons from Kevin’s realistic TURTLE beam: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 TOF0 Cherenkov Q7 Q8 Q9 TOF1 Tracker 1

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Page 1: Analysis meeting: Beam momentum measurements using TOFs Tuesday, 22 January 2008 Slide 1 of 10 Beam momentum measurement using

Analysis meeting: Beam momentum measurements using TOFsTuesday, 22 January 2008

Slide 1 of [email protected].

uk

Beam momentum measurement using TOFs: progress report

Analysis meeting, 22 January 2008Mark Rayner – Oxford/RAL

Page 2: Analysis meeting: Beam momentum measurements using TOFs Tuesday, 22 January 2008 Slide 1 of 10 Beam momentum measurement using

Analysis meeting: Beam momentum measurements using TOFsTuesday, 22 January 2008

Slide 2 of [email protected].

uk

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

Page 3: Analysis meeting: Beam momentum measurements using TOFs Tuesday, 22 January 2008 Slide 1 of 10 Beam momentum measurement using

Analysis meeting: Beam momentum measurements using TOFsTuesday, 22 January 2008

Slide 3 of [email protected].

uk

Stage 2 G4MICE simulation

• 100 muons from Kevin’s realistic TURTLE beam:100 muons from Kevin’s realistic TURTLE beam:– Blue – positively charged particles, mainly Blue – positively charged particles, mainly

mu+mu+– Red – negatively charged particles, mainly e-Red – negatively charged particles, mainly e-– Green – neutral particles, mainly photons Green – neutral particles, mainly photons

TOF0 CherenkovQ7 Q8 Q9 TOF1 Tracker 1

Page 4: Analysis meeting: Beam momentum measurements using TOFs Tuesday, 22 January 2008 Slide 1 of 10 Beam momentum measurement using

Analysis meeting: Beam momentum measurements using TOFsTuesday, 22 January 2008

Slide 4 of [email protected].

uk

TOF0 & Cherenkov

Page 5: Analysis meeting: Beam momentum measurements using TOFs Tuesday, 22 January 2008 Slide 1 of 10 Beam momentum measurement using

Analysis meeting: Beam momentum measurements using TOFsTuesday, 22 January 2008

Slide 5 of [email protected].

uk

Quadrupoles 7, 8 and 9

Page 6: Analysis meeting: Beam momentum measurements using TOFs Tuesday, 22 January 2008 Slide 1 of 10 Beam momentum measurement using

Analysis meeting: Beam momentum measurements using TOFsTuesday, 22 January 2008

Slide 6 of [email protected].

uk

TOF1 & Tracker 1

Page 7: Analysis meeting: Beam momentum measurements using TOFs Tuesday, 22 January 2008 Slide 1 of 10 Beam momentum measurement using

Analysis meeting: Beam momentum measurements using TOFsTuesday, 22 January 2008

Slide 7 of [email protected].

uk

Amplitude analysis of muons surviving to TOF1

Page 8: Analysis meeting: Beam momentum measurements using TOFs Tuesday, 22 January 2008 Slide 1 of 10 Beam momentum measurement using

Analysis meeting: Beam momentum measurements using TOFsTuesday, 22 January 2008

Slide 8 of [email protected].

uk

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

Page 9: Analysis meeting: Beam momentum measurements using TOFs Tuesday, 22 January 2008 Slide 1 of 10 Beam momentum measurement using

Analysis meeting: Beam momentum measurements using TOFsTuesday, 22 January 2008

Slide 9 of [email protected].

uk

Path between Tof-0 and Tof-10.48 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

r0=(t0, x0, y0,z0)|MC

r| = {(x1-x0)2+(y1-y0)2}

Some definitions:pMC

TOF1Pcrude guess = |m

where = (r1-r0)/[(t1-t0)c]

pMCTOF1

pCrude guessCorrection

factor =

r1=(t1, x1, y1,z1)|MC

Page 10: Analysis meeting: Beam momentum measurements using TOFs Tuesday, 22 January 2008 Slide 1 of 10 Beam momentum measurement using

Analysis meeting: Beam momentum measurements using TOFsTuesday, 22 January 2008

Slide 10 of [email protected].

uk

Prospects for momentum reconstruction

Page 11: Analysis meeting: Beam momentum measurements using TOFs Tuesday, 22 January 2008 Slide 1 of 10 Beam momentum measurement using

Analysis meeting: Beam momentum measurements using TOFsTuesday, 22 January 2008

Slide 11 of [email protected].

uk

Extra Slides

Page 12: Analysis meeting: Beam momentum measurements using TOFs Tuesday, 22 January 2008 Slide 1 of 10 Beam momentum measurement using

Analysis meeting: Beam momentum measurements using TOFsTuesday, 22 January 2008

Slide 12 of [email protected].

uk

Transverse phase space: horizontal

x / cmpx / MeV

-40 cm – 40 cm-100 MeV – 100 MeV

x

px

Page 13: Analysis meeting: Beam momentum measurements using TOFs Tuesday, 22 January 2008 Slide 1 of 10 Beam momentum measurement using

Analysis meeting: Beam momentum measurements using TOFsTuesday, 22 January 2008

Slide 13 of [email protected].

uk

Transverse phase space: vertical

y / cmpy / MeV

-40 cm – 40 cm-100 MeV – 100 MeV

y

py

Page 14: Analysis meeting: Beam momentum measurements using TOFs Tuesday, 22 January 2008 Slide 1 of 10 Beam momentum measurement using

Analysis meeting: Beam momentum measurements using TOFsTuesday, 22 January 2008

Slide 14 of [email protected].

uk

Longitudinal phase space

Page 15: Analysis meeting: Beam momentum measurements using TOFs Tuesday, 22 January 2008 Slide 1 of 10 Beam momentum measurement using

Analysis meeting: Beam momentum measurements using TOFsTuesday, 22 January 2008

Slide 15 of [email protected].

uk

Momentum measurement uncertainty

• p = 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• 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