Kalman filter - resolution
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Throw 5 Gev muons into the N arm:
cfmgmc.input = (5. 5.0 18.0 90.0 14.0 100 0.0 0.0 0.0 0.0)
From rcas cvs3 files
fvtx_mc_eval_20perc4.root,
fvtx_mc_eval_50100_4.root,
fvtx_mc_eval_perf4.root.
x0reco | track projection to the z=0 plane
|
y0reco | track projection to the z=0 plane
|
z0reco | z=0 or to z-axis
|
5.0 GeV μ
| x0reco | y0reco | z0reco
|
mean | sigma | mean | sigma | mean | sigma
|
pi = poriginal
| ~0 | 47 | ~0 | 54 | - | -
|
pi->pi±20%
| ~0 | 131 | ~0 | 71 | - | -
|
px=py=50, pz=100
| 0.08 | 228 | ~0 | 354 | - | -
|
|
straight-line fit
| ~0 | 231 | ~0 | 356 | ~0 | 166
|
Note that with perfect information, the Kalman filter projects to %50μm,
which is roughly what we expect from multiple scattering.
On the other extreme, when no momentum information is available, and
the best we can do is assume a straight line by feeding in very high
momenta, the Kalman filter returns the
same values as a straight-line fit.
The realistic case is one where we have partial knowledge of the momentum,
simulated by smearing the input momentum by 20%.
Macros: xres_vs_p.C.txt,
yres_vs_p.C.txt
2.5 GeV μ
| x0reco | y0reco | z0reco
|
mean | sigma | mean | sigma | mean | sigma
|
pi = poriginal
| ~0 | 95 | ~0 | 102 | - | -
|
pi->pi±20%
| ~0 | 202 | ~0 | 121 | - | -
|
px=py=50, pz=100
| 0.14cm | 478 | ~0 | 714 | - | -
|
|
straight-line fit
| 0.14 | 476 | ~0 | 720 | ~0 | 306
|
5.0 GeV μ
| x0reco | y0reco | z0reco
|
mean | sigma | mean | sigma | mean | sigma
|
pi = poriginal
| ~0 | 47 | ~0 | 54 | - | -
|
pi->pi±20%
| ~0 | 131 | ~0 | 71 | - | -
|
px=py=50, pz=100
| 0.08 | 228 | ~0 | 354 | - | -
|
|
straight-line fit
| ~0 | 231 | ~0 | 356 | ~0 | 166
|
10 GeV μ
| x0reco | y0reco | z0reco
|
mean | sigma | mean | sigma | mean | sigma
|
pi = poriginal
| ~0 | 23 | ~0 | 26 | - | -
|
pi->pi±20%
| ~0 | 67 | ~0 | 32 | - | -
|
px=py=50, pz=100
| 0.03 | 96 | ~0 | 160 | - | -
|
|
straight-line fit
| 0.03 | 104 | ~0 | 160 | ~0 | 86
|
20 GeV μ
| x0reco | y0reco | z0reco
|
mean | sigma | mean | sigma | mean | sigma
|
pi = poriginal
| ~0 | 13 | ~0 | 13 | - | -
|
pi->pi±20%
| ~0 | 33 | ~0 | 18 | - | -
|
px=py=50, pz=100
| 0.015 | 52 | ~0 | 69 | - | -
|
|
straight-line fit
| 0.018 | 56 | ~0 | 81 | ~0 | 36
|
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| Index |
Next: material budget