Muon-related d-Au studies

You can find the intial version of this page, with Glauber and Fritiof simulations, and results and rejection factors using the old version of the muid_shield, here. All the results here are with the new muid_shield implemented.

Goals

The expected peak rate for dAu is about 92 kHz. The DAQ group's goal is to have a Lvl1-accept rate of 4.5 kHz and an archive rate of 1.2 kHz. This means that an overall rejection of about 20 at Lvl1 and 75 at Lvl1*Lvl2 is needed. The muon triggers can not take all the bandwidth and the estimated needed muon trigger rejection factors are about 50 at Lvl1 and 200 at Lvl2.

Executive summary

The collision-related rejection factors have been estimated using min. bias dAu Hijing events. With the new MUID shielding, the rejections factors at Lvl1 seems to be sufficient already with the Blue-Logic Trigger (BLT) for single deep muons.
There is good overlap between the single deep muon acceptance for the three available triggers (BLT, MUID LL1 and L2SingleMuon). The dimuon correlation is not as clear between BLT vs LL1 and L2.

A Lvl2 single deep muon provides just enough rejection to meet the goals at Lvl2, i.e. if the simulations describe reality and there will not be any significant non-collision-related background, and the quotient between the achievement/goal factors for the RHIC operators and the DAQ group will be below 1, we should not need to downscale single deep muons.

HIJING and PISA input

Mainly dAu simulations from S.C. Johnson et al. (LLNL). File locations
The list of ok/completed runs (126 runs with 1000 events each) can be found here.

LVL1 and LVL2 Muon trigger descriptions

There are 3 trigger acronyms in use throughout this page:

LL1 = (MUID) Local Level 1
BLT = Blue Logic Trigger
L2 = L2SingleMuonTrigger

The L2 code, with the Lvl2/software versions of LL1/BLT (the software is supposed to mimic the hardware performance), can be found in CVS under lvl2_distribution/algorithms/:
L2MuiLL1Trigger.C
L2MuiPseudoTrigger.C
L2MuSingleMuonTrigger.C

The L2MuiLL1Trigger is only available in the l2_run3_dev branch.

For the record, the BLT code used the mui_pseudotrigmap_deep_mh2.dat for the deep roads. This gives less rejection than the mh1 version.

Rejection factors

For 126000 min. bias dAu events:

Trigger S BLT South S+S BLT South D BLT South D+S BLT South D+D BLT South S BLT North S+S BLT North D BLT North D+S BLT North D+D BLT North D LL1 South D+D LL1 South D LL1 North D+D LL1 North D L2 South D+D L2 South D L2 North D+D L2 North
Accepted7358 1134 1403 261 42 2546 170 787 56 20 396 46 269 9 650 42 456 25
Rejection17 111 90 483 3000 49 741 160 2250 6300 318 2739 468 14000 194 3000 276 5040

Correlations between triggers

Auto correlations (per definition) are marked with an X in the table. Only half of the symmetric correlation matrix is shown. The format of the entries is Perc (MinFired), where Perc is the percentage of the time that the triggers overlapped and MinFired is the number of triggers for the trigger that fired/was accepted least, and is supposed to give you a sense of the statistical uncertainty.
As an example, take the overlap between 'D BLT South' and 'D LL1 South'. 'D BLT South' fired for 1403 events, 'D LL1 South' for 396 events and they were both accepted/fired in 391 events. The overlap frequency, Perc is thus 391/396 or about 99% and MinFired is 396.

For 126000 min. bias dAu events: North and South together

Triggers S BLT South S+S BLT South D BLT South D+S BLT South D+D BLT South S BLT North S+S BLT North D BLT North D+S BLT North D+D BLT North D LL1 South D+D LL1 South D LL1 North D+D LL1 North D L2 South D+D L2 South D L2 North D+D L2 North
S BLT South - X X X X 9 (2546) 10 (170) 9 (787) 5 (56) 0 (20) 99 (396) 100 (46) 9 (269) 11 (9) 100 (650) 100 (42) 8 (456) 4 (25)
S+S BLT South - - 23 (1134) X X 4 (1134) 1 (170) 2 (787) 2 (56) 0 (20) 19 (396) 43 (46) 3 (269) 11 (9) 17 (650) 48 (42) 2 (456) 4 (25)
D BLT South - - - X X 4 (1403) 0 (170) 2 (787) 0 (56) 0 (20) 99 (396) 98 (46) 2 (269) 0 (9) 99 (650) 100 (42) 2 (456) 0 (25)
D+S BLT South - - - - X 6 (261) 0 (170) 2 (261) 0 (56) 0 (20) 28 (261) 41 (46) 1 (261) 0 (9) 42 (261) 48 (42) 2 (261) 0 (25)
D+D BLT South - - - - - 5 (42) 0 (42) 0 (42) X 0 (20) 57 (42) 24 (42) 0 (42) 0 (9) 67 (42) 36 (42) 0 (42) 0 (25)
S BLT North - - - - - - X X X X 5 (396) 7 (46) 100 (269) 100 (9) 4 (650) 5 (42) 100 (456) 100 (25)
S+S BLT North - - - - - - - 33 (170) X X 0 (170) 0 (46) 12 (170) 11 (9) 0 (170) 0 (42) 24 (170) 28 (25)
D BLT North - - - - - - - - X X 1 (396) 0 (46) 100 (269) 100 (9) 1 (650) 0 (42) 97 (456) 100 (25)
D+S BLT North - - - - - - - - - X 0 (56) 0 (46) 36 (56) 11 (9) 0 (56) 0 (42) 64 (56) 28 (25)
D+D BLT North - - - - - - - - - - 0 (20) 0 (20) 45 (20) 11 (9) 0 (20) 0 (20) 75 (20) 35 (20)
D LL1 South - - - - - - - - - - - X 0 (269) 0 (9) 95 (396) 76 (42) 1 (396) 0 (25)
D+D LL1 South - - - - - - - - - - - - 0 (46) 0 (9) 91 (46) 38 (42) 0 (46) 0 (25)
D LL1 North - - - - - - - - - - - - - X 1 (269) 0 (42) 97 (269) 76 (25)
D+D LL1 North - - - - - - - - - - - - - - 0 (9) 0 (9) 89 (9) 56 (9)
D L2 South - - - - - - - - - - - - - - - X 1 (456) 0 (25)
D+D L2 South - - - - - - - - - - - - - - - - 0 (42) 0 (25)
D L2 North - - - - - - - - - - - - - - - - - X

It's rather hard to digest the table with South and North mixed together, so I also give them separately.

For 126000 min. bias dAu events: South only

Triggers S BLT South S+S BLT South D BLT South D+S BLT South D+D BLT South D LL1 South D+D LL1 South D L2 South D+D L2 South
S BLT South - X X X X 99 (396) 100 (46) 100 (650) 100 (42)
S+S BLT South - - 23 (1134) X X 19 (396) 43 (46) 17 (650) 48 (42)
D BLT South - - - X X 99 (396) 98 (46) 99 (650) 100 (42)
D+S BLT South - - - - X 28 (261) 41 (46) 42 (261) 48 (42)
D+D BLT South - - - - - 57 (42) 24 (42) 67 (42) 36 (42)
D LL1 South - - - - - - X 95 (396) 76 (42)
D+D LL1 South - - - - - - - 91 (46) 38 (42)
D L2 South - - - - - - - - X
D+D L2 South - - - - - - - - -

For 126000 min. bias dAu events: North only

Triggers S BLT North S+S BLT North D BLT North D+S BLT North D+D BLT North D LL1 North D+D LL1 North D L2 North D+D L2 North
S BLT North - X X X X 100 (269) 100 (9) 100 (456) 100 (25)
S+S BLT North - - 33 (170) X X 12 (170) 11 (9) 24 (170) 28 (25)
D BLT North - - - X X 100 (269) 100 (9) 97 (456) 100 (25)
D+S BLT North - - - - X 36 (56) 11 (9) 64 (56) 28 (25)
D+D BLT North - - - - - 45 (20) 11 (9) 75 (20) 35 (20)
D LL1 North - - - - - - X 97 (269) 76 (25)
D+D LL1 North - - - - - - - 89 (9) 56 (9)
D L2 North - - - - - - - - X

Efficiencies

Only the South arm was included. As a first test, a pure J/psi sample (1000 events with 2 muons within ~10-30 degrees) was processed. The rejection factors were all rounded off to 1, so I just list the acceptance numbers.

Trigger S BLT South S+S BLT South D BLT South D+S BLT South D+D BLT South D LL1 South D+D LL1 South D L2 South D+D L2 South
Accepted995 874 982 871 803 964 807 978 745

The correlations were all in the 98-100 % range.

Efficiencies, embedded Jpsi's

Only the South arm was included. The same pure J/psi sample as above (1000 events with 2 muons within ~10-30 degrees) was processed, but now merged with one (the first ok file: 001) min. bias dAu Hijing file.

Trigger S BLT South S+S BLT South D BLT South D+S BLT South D+D BLT South D LL1 South D+D LL1 South D L2 South D+D L2 South
Accepted 996 887 981 884 808 964 816 977 746

The correlations were all in the 98-100 % range. As you see, the numbers are close to identical to the ones obtained with J/Psi's alone. (For the North, there was a bigger relative difference, since the dAu Hijing files contained particles going into the North also, while all J/Psi's I used were headed South).

'Quality'

/Again, only the South arm was included, in this section./ A perfect trigger has a very high rejection _and_ and a very high efficiency. As long as the rejection is high enough to fulfill bandwidth goals, it makes sense to just chose the one with the highest efficiency. That would lead to chosing D BLT on LVL1 and D L2 in Lvl2.

For a comparison between the triggers, I introduce a quantity I call quality and define this as the product of the embedded J/Psi efficiency and the d-Au rejection, normalized to the value of S BLT. (S = shallow single). This is then a measure of well the triggers find the J/Psi's in the background.

Trigger S BLT South S+S BLT South D BLT South D+S BLT South D+D BLT South D LL1 South D+D LL1 South D L2 South D+D L2 South
Quality 1 (def) 5.81 5.21 25.2 143 18.1 132 11.1 132

As you can see, the dimuon versions are much more discriminatory than the singles, but one thing not shown in this table (however, it's in the one above) is that the dimuons versions do have a lower efficicency. BLT does well overall in this comparison to L2, and LL1.

Occupancies: North and South

Hits, for min. bias events: South.

Detector Mean RMS
muTr1s0.6991.02051
muTr2s0.7885331.1542
muTr3s0.447550.796099
muId1s0.84191.29403
muId2s0.3450.764837
muId3s0.29130.715433
muId4s0.27040.68241
muId5s0.35310.799137

Hits, for min. bias events: North.

Detector Mean RMS
muTr1n0.5065330.81504
muTr2n0.7653671.09742
muTr3n0.471650.79418
muId1n0.27140.655089
muId2n0.10770.415573
muId3n0.07920.383572
muId4n0.06130.324873
muId5n0.05460.28813

The muTr hit numbers are divided by the number of gaps in each station, so the numbers are really supposed to be number of particles passing thru the stations per event.

Momentum estimate for single muons

A simple parametrization was done, to estimate the momentum from:
mom = Norm/(dphi23) * 1/(theta -t) + Const;
where dphi23 is the difference in phi between the track's hits in stations 2 and 3. Theta is the angle from the beam of the track's hits; it's very similar in stations 2 and 3.
When theta and dphi23 are in degrees, the constants can be chosen as t = 10., Norm = 76.5, Const = 1.14. The momentum error one makes (estimated by looking at simulated single muons and comparing the estimated and the original momenta is) can be seen, plotted as a profile, i.e. showing mean and rms, on momdiff.gif. The relative error: dp/p vs p, is plotted on momres.gif(2D box version).

The profile plot is actually somewhat deceiving and the dp/p turns out to be roughly 5%. The used files, were produced, without multiple scattering and with perfect position resolution. With multiple scattering the dp/p values increase to about 20%, which can be somewhat reduced if one uses the projections or stubs at stations 2 and 3.

To be able to reconstruct the mass of a pair, one also needs to estimate the original phi and theta angles of the tracks. A good approximation is to assume that theta is constant, since the bend occurs in the phi direction. Since theta determines the strength of the field and therefore magnitude of the bend, and the momentum also affects how much the particle bends, one would expect that the phi difference between the vertex and station 2 (dphivtx2, inversely proportional to the momentum) is proportional to the difference in phi between station 2 and 3 (dphi23) and proportional to theta. In phicorrtheta.gif, I have plotted the ratio between dphivtx2 and dphi23 vs theta and a clear correlation, that can be parametrized as p0 + p1*theta (p0 ~= -0.5, p1 ~= 0.09), is seen. Thus, knowing theta and dphi23, one can estimate the original phi.

J/Psi mass test

Only the South arm was included, and the muTr primitives from Jason and Doug et al. were used when studying the same J/Psi sample as for the efficiency part above.

Location of input/output files; code and macros

HIJING (dAu):
/phenix/data07/johnson/runs/

PISA (dAu):
/phenix/data38/phnxreco/PISA_Run03/simProject28/pisa_out

PRDF (dAu): 
/phenix/data38/phnxreco/dAu_simulation/simProject28/prdf/

L2TestFramework - libraries, macros etc:
/phenix/u/silvermy/lvl2_distribution/

Single muon files:
/phenix/workarea/zhangc/sandbox/mutoo/analysis/lvl2_trig/

pro.30 version + private libraries.


silvermy@lanl.gov 2002

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