measuring multiple scattering in step iv

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Measuring Multiple Scattering in Step IV Timothy Carlisle Oxford ee MICE Note 374 for updated results

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Measuring Multiple Scattering in Step IV. Timothy Carlisle Oxford. See MICE Note 374 for updated results. Intro. Step IV will measure e 0 in various materials. G4MICE finds e 0 up to 30% less than predictions: Standard PDG Scattering angle expression: - PowerPoint PPT Presentation

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Page 1: Measuring Multiple Scattering in Step IV

Measuring Multiple Scattering in Step IV

Timothy CarlisleOxford

See MICE Note 374 for updated results

Page 2: Measuring Multiple Scattering in Step IV

Intro.• Step IV will measure e0 in various materials.

• G4MICE finds e0 up to 30% less than predictions:

Standard PDG Scattering angle expression:

• Potential term actually scales with Z.• Can we use the trackers to measure MS directly?

2

2 30

0.014 GeV

2tn nd dE

dz E dX Em X

e e

)ln(038.01MeV6.1300 XxXxz

cprmsplane

rmsplane

rmsspace 2

Page 3: Measuring Multiple Scattering in Step IV

Scattering Angle comparison

Note: DzLiH = 6.3 cmDzLH2 = 57.6 cm

Page 4: Measuring Multiple Scattering in Step IV

G4MICE: Step IV 63mm LiH

Related studies (1)

Cooling Eqn. vs G4MICE

Page 5: Measuring Multiple Scattering in Step IV

Method (1)

Start: Matched 2.5mm beam in upstream

tracker

Simulate in G4MICE

Step IV fields, no Trackers in sim.

geometry

• Four runs:• Empty channel & AFC• 35cm LH2 & 63mm LiH

• Trk. Rec. still in the pipeline.• Apply a smear instead, Gaussian, given:

• Trk. Rec. to give 6D particle vectors at Trk. Ref Planes: MeV/c58.4

MeV/c52.1MeV/c05.2

mm44.0mm54.0

Pz

Py

Px

y

x

MICE Note #90

m0.85- & m65.4z

Page 6: Measuring Multiple Scattering in Step IV

Method (2)• Re-simulate in an empty geometry (just fields)• Track downstream beam up to the absorber

– Flip momenta– Flip particle sign also– No energy losses

• Track upstream beam down through the absorber:

Track vectors back to the downstream edge of the

absorber position

Upstream TRP

Downstream TRP

No AFC, no material

Page 7: Measuring Multiple Scattering in Step IV

Method (3)

qpqpspace

rms

.cos

p

q

i) Take vectors at DS edge of Absorber position

ii) Calc. angle between them:

iii) Plot histogram for all particles.

iv) Note: Where: variance = -

= +

Page 8: Measuring Multiple Scattering in Step IV

No AFC (empty geometry)

Smear

errors onGeant4 tracking

][mradspace

10 20 30 40 50 60 70 80

][mradspace

0.02 0.04 0.06 0.08 0.1 0.12

No Smear

Page 9: Measuring Multiple Scattering in Step IV

AFC, no Absorber

Smear

][mradspace

10 20 30 40 50 60 70 80

No Smear

Page 10: Measuring Multiple Scattering in Step IV

AFC + LH2

Smear

][mradspace

10 20 30 40 50 60 70 80

No Smear

Page 11: Measuring Multiple Scattering in Step IV

AFC + LiH

Smear

][mradspace

10 20 30 40 50 60 70 80

No Smear

Page 12: Measuring Multiple Scattering in Step IV

Paraxial beams in G4MICE

2space

35 cm LH2 63 mm LiH

2space

Page 13: Measuring Multiple Scattering in Step IV

Results

No Smear Smear PDG Pencil beam

No AFC 3.23e-5 1.73e-2

AFC (windows)

8.69e-3 1.96e-2

LH21.63e-2 2.79e-2 1.87e-2 8.9e-3

LiH 2.15e-2 2.78e-2 2.46e-2 2.03e-2

spacerms

e 0 mm)

e = 2.5 mm)

Page 14: Measuring Multiple Scattering in Step IV

Summary• PDG ~ 2x more scattering than G4MICE.

• Smearing may require further thought re: correlations

• LH2 & LiH indistinguishable after smear.

• LiH measurement < PDG angle.

• See MICE Note 374 for updated results

Page 15: Measuring Multiple Scattering in Step IV

EXTRAS

Page 16: Measuring Multiple Scattering in Step IV

G4MICE output - 35 cm LH2

]mm[)(ze ]cm[)(z

]MeV[)(Energy z

Page 17: Measuring Multiple Scattering in Step IV

Related studies (2)

Step IV: LH2 Step IV: LiH

From CM28

Page 18: Measuring Multiple Scattering in Step IV

paraxial beams in G4MICE

MeV/c00733.0 MeV/c0116.0

spacespace

35 cm LH263 mm LiH

2space2space

Page 19: Measuring Multiple Scattering in Step IV

V.L. Highland, Nucl. Instrum. Methods 129, 497 (1975)

Page 20: Measuring Multiple Scattering in Step IV

AFC + LH2

Smear

][mradspace

10 20 30 40 50 60 70 80

No Sear

Page 21: Measuring Multiple Scattering in Step IV

][mradspace

Page 22: Measuring Multiple Scattering in Step IV

][mradspace

Page 23: Measuring Multiple Scattering in Step IV

AFC + LiH

Smear

][mradspace

10 20 30 40 50 60 70 80

No Smear