Today's Progress 26. April. 2007

Charged particle TOF calibration for PAPB by (stopped K+, X+) data : E570

Here we perform the analysis to get slewing correction function for PA/PB with stopped K+ data. The run-by-run tune would be performed in relation with T0/PA/PB analysis in a latter stage.

The scheme of the E570 T0/PA/PB/NT/TC TOF analysis

From now, the TOF analysis will be performed stepwise in the following order:

1. PA -> PB TOF analysis with (stop K+, X+) run (225~226/412~413)

-> (stop K+, &mu+/&pi+) spectrum by PA-PB is the goal of the step. This will be the basis of the all following steps.

2. PA -> NT TOF analysis with (stop K+, X+) run (225~226/412~413)

-> (stop K^+, &mu+/&pi+) spectra by PA-NT are the goal of the step. Here NT is tuned with fast charged particles with respect to PA wall.

3. T0 -> PA TOF analysis with (stop K-, X+/-) production runs

->PA/T0 time walk can be studied by fixing PB timing.

4. Tune of PB time walk with (stop K-, X+/-) production runs by fixing PA time

-> PB time walk can be studied with respect to PA.

5. Iteration of 3/4

->T0/PA/PB time walk is completely investigated.

6. Tune of NT time walk with respect to PA with (stop K-, X+/-) production runs

-> NT time walk is eliminated.

7. Fine tune of NT slewing correction function with &gamma with (stop K-, X+/-&gamma) events

-> NT slewing correction function for &gamma/n is studied, and the performance is shown.

8. T0 -> TC_B/TC_C TOF analysis with (stop K-, X+/-&gamma) events

-> Since T0 slewing correction, time walk has been fixed, TC_B/TC_C TOF calibration can be done with Kstop*Charged triggered events in coincidence with &gamma on TC_B/TC_C layer.

9. TC_A -> TC_B TOF analysis

-> TC_A layer slewing correction parameter and offset can be studied with respect to TC_B-detected timing.

Charged particle TOF calibration for PAPB by (stopped K+, X+) data

Method for TOF analysis

The PAPB TOF analysis will be performed in a itterative way in the following order:

1. 1st stage PB slewing correction is performed with central PA segment (ID 4 of 1~8 from top to bottom). At this moment, &xi term is not considered, since y(on PB) region is limited, then. Particle identification is performed with PBmeantime - PAmeanttime VS sqrt(phTop*phBottom) on PB.

2. 1st stage PA slewing correction is performed with all 17 PB segments. At this moment, &xi term is taken into account, since z(on PA) region is globaly covered, then. Particle identification is performed with PBmeantime - PAmeanttime - f(sqrt(phTop*phBottom))VS sqrt(phUpstream*phDownstream) on PA.

3. 2nd stage PB slewing correction is performed with all 8 PA segments again. Now, &xi term is taken into account, since y(on PB) region is globaly covered. PID is performed by 1/&beta VS sqrt(phTop*phBottom) on PB, in which 1/&beta is determined with the correction functions obtained at step 1&2.

4. 2nd stage PA slewing correction is performed with all 17 PB segments again. Particle identification is performed with 1/&beta VS sqrt(phUpstream*phDownstream) on PA, in which which 1/&beta is determined with the correction functions obtained at step 2&3.

5. 3rd stage PB slewing correction is performed with all 8 PA segments again. &xi term is considered again. PID is performed by 1/&beta VS sqrt(phTop*phBottom) on PB, in which 1/&beta is determined with the correction functions obtained at step 3&4.

Therefore, we repeat the calculation of the correction function 2/3 times, and on each stage, the most updated correction function is adopted to purify the K+ -> &mu+ &nu decay events from stopped K+. Note that stopped K selection and fiducial volume cut are applied in all the steps.

Method of gain adjustment

The segment-by-segment PB gain factor, Ci, is here tuned with monochromatic &mu+, by

Ci*PP(sqrt{ph_Top*ph_Bottom}*|vx|) = Esim,

where Esim is the Landau peak position of simulated normalized energy loss distribution of monochromatic &mu+ from

K+stopped -> &mu+&nu,

and PP(sqrt{ph_Top*ph_Bottom}*|vx|) is the Landau peak position of the distribution of the measured quantity,

sqrt{ph_Top*ph_Bottom}*|vx|,

where vx is PDC-measured direction cos x of &mu+, and ph_Top and ph_Bottom are detected pulse height on the Top and Bottom PMT on the PBsegment. In order to select monochromatic &mu+, stopped K and fiducial volume selections are applied, and &mu events are selected by PAPB-measured 1/&beta within (1.06,1.14). On the simulation, detector geometry/Kaon stopping position distribution/Birk saturation (as 0.013 cm/MeV) are taken into account. After Ci is determined in that way, the effective light output, Ei, is defined as

Ci*sqrt{ph_Top*ph_Bottom} = Ei,

regardless of the incident particle.

Cycle1 Results

PA-by-PA/PB-by-PB 1/&beta peak center/&sigma are tabulatted below.
&sigma/peak center for &mu+ peak from stopped K+ -> &mu+&nu decay for all existing PA-PB combinations for E570 cycle1.
PAPBarmPB ROW/PA ROW 12 3 4 5 6 7 8 total
L 1 1.10124/0.021621.10367/0.021871.10188/0.020911.09952/0.021311.10006/0.022151.10050/0.020631.10212/0.021041.10317/0.02080 1.10134/0.0216102
L 2 1.10528/0.020331.10120/0.019671.10101/0.020391.09965/0.020101.10042/0.020771.10088/0.021141.10034/0.021321.10162/0.02046 1.10096/0.0206715
L 3 1.10257/0.021781.10214/0.020041.10064/0.020011.09941/0.019371.09983/0.019901.10107/0.021001.10194/0.020511.10347/0.01985 1.10111/0.0203613
L 4 1.10356/0.020961.10275/0.019921.10080/0.020221.10011/0.019911.10014/0.020211.10086/0.020321.10176/0.019891.10323/0.01974 1.10137/0.0202388
L 5 1.10342/0.020121.10212/0.019351.10083/0.020321.10078/0.019871.09962/0.020361.10211/0.019761.10127/0.020151.10248/0.01999 1.10139/0.0200679
L 6 1.10340/0.018631.10272/0.020361.10095/0.019901.09946/0.019281.10176/0.021531.10037/0.020221.10180/0.020281.10441/0.02081 1.10155/0.0202911
L 7 1.10363/0.018651.10192/0.019131.10134/0.019881.09976/0.019451.10008/0.019651.10089/0.019861.10148/0.019681.10325/0.01944 1.10126/0.0196154
L 8 1.10280/0.018901.10246/0.019001.10153/0.018931.10010/0.017791.09966/0.018901.10120/0.018421.10172/0.018831.10279/0.01791 1.10131/0.0186876
L 9 1.10351/0.019861.10215/0.018971.10143/0.018721.09982/0.018931.09996/0.018871.10136/0.019621.10244/0.019391.10265/0.01871 1.10141/0.0191625
L 10 1.10348/0.018841.10303/0.019361.10139/0.019261.09961/0.018521.09994/0.018851.10170/0.018831.10147/0.019561.10395/0.01837 1.10149/0.0190379
L 11 1.10333/0.020571.10252/0.018361.10169/0.019321.09982/0.018951.09934/0.019331.10094/0.018791.10114/0.020511.10322/0.01877 1.10124/0.0193501
L 12 1.10305/0.019671.10159/0.019181.10151/0.019531.10049/0.019321.10116/0.019311.10081/0.019171.10269/0.020391.10416/0.02040 1.10165/0.0196249
L 13 1.10295/0.019301.10243/0.019111.10210/0.019401.10072/0.019561.10034/0.019431.10070/0.019541.10212/0.020051.10339/0.01947 1.10155/0.0195956
L 14 1.10376/0.019721.10121/0.019591.10153/0.020891.10087/0.019221.10058/0.020391.10088/0.018971.10182/0.020511.10209/0.02015 1.10143/0.0199553
L 15 1.10584/0.022291.10230/0.019931.10160/0.021121.10126/0.020421.10056/0.021331.10060/0.021651.10207/0.020221.10329/0.02085 1.1019/0.0210565
L 16 1.10532/0.022761.10355/0.021661.10127/0.021211.10134/0.021041.10122/0.021541.10102/0.020821.10241/0.021621.10259/0.02142 1.10202/0.0215639
L 17 1.10222/0.017151.10157/0.019231.10269/0.020771.10039/0.018941.10041/0.019331.10277/0.017181.10207/0.019111.10191/0.01918 1.1018/0.0195055
L total 1.10345/0.02002851.10232/0.01959621.10154/0.019991.10030/0.01935241.10029/0.01990861.10111/0.01966221.10179/0.0217651.10256/0.020029 -
R 1 1.10409/0.022761.10301/0.020181.10147/0.022011.09959/0.020351.09981/0.021531.09992/0.022391.10122/0.022321.10356/0.02268 1.10123/0.0218763
R 2 1.10254/0.019981.10091/0.020501.10015/0.020481.10063/0.019911.10022/0.021511.10011/0.021061.10105/0.021631.10244/0.02103 1.10078/0.0208956
R 3 1.10273/0.020591.10248/0.020431.10151/0.020361.10102/0.019061.09996/0.019241.10079/0.020571.10204/0.020851.10356/0.02171 1.10149/0.0202228
R 4 1.10303/0.020221.10222/0.020321.10207/0.021471.09990/0.019831.10050/0.019931.10109/0.020491.10320/0.021681.10360/0.02231 1.10169/0.0208383
R 5 1.10401/0.019561.10237/0.019771.10078/0.020231.10062/0.018371.10000/0.019241.10026/0.019991.10212/0.020311.10419/0.01989 1.10137/0.0197039
R 6 1.10358/0.019301.10138/0.018711.10096/0.020271.10002/0.018511.00022/0.023561.09990/0.019481.10189/0.019691.10318/0.02004 1.10117/0.0193482
R 7 1.10281/0.019791.10211/0.020491.10034/0.021121.10016/0.019481.09995/0.020291.10064/0.020751.10153/0.021181.10353/0.02121 1.10104/0.0205916
R 8 1.10421/0.019671.10197/0.019121.10139/0.020301.10004/0.019251.10026/0.018691.10093/0.018811.10122/0.019131.10318/0.01949 1.10132/0.0193519
R 9 1.10265/0.020551.10299/0.019451.10095/0.020231.09999/0.018851.09940/0.020341.10126/0.020011.10235/0.020751.10255/0.01942 1.1013/0.0199843
R 10 1.10440/0.018971.10199/0.018451.10154/0.019551.10024/0.017991.09977/0.019181.10097/0.018351.10344/0.020031.10392/0.02011 1.10166/0.0190767
R 11 1.10434/0.020331.10175/0.019891.10147/0.020781.10014/0.019641.10035/0.019331.10135/0.019341.10251/0.019851.10286/0.02034 1.10153/0.0199526
R 12 1.10259/0.019771.10299/0.019781.10067/0.019371.10069/0.018191.10022/0.018631.10029/0.018741.10173/0.019541.10372/0.01875 1.10133/0.019144
R 13 1.10390/0.021921.10344/0.019871.10042/0.021311.10071/0.019321.10055/0.021491.10151/0.022051.10281/0.022471.10527/0.02360 1.10199/0.0214199
R 14 1.10385/0.021871.10321/0.019801.10148/0.021671.10104/0.020731.10110/0.020951.10085/0.022181.10271/0.021971.10421/0.02298 1.10194/0.0214652
R 15 1.10378/0.022461.10247/0.021321.10218/0.022441.10045/0.020381.10088/0.020571.10091/0.020851.10336/0.020941.10336/0.02199 1.10189/0.0213542
R 16 1.10457/0.023921.10216/0.021201.10278/0.022251.10066/0.019881.10154/0.021481.10331/0.021421.10110/0.022031.10418/0.02362 1.10208/0.0218697
R 17 1.10305/0.017861.10338/0.021681.10080/0.022471.10045/0.020551.10016/0.020471.10277/0.021191.10315/0.023651.10406/0.02546 1.10195/0.0218972
R total 1.10319/0.02055651.10198/0.02003081.10091/0.02076791.10023/0.01929841.10006/0.01986241.10058/0.02027151.10177/0.02108251.10287/0.0212425 -
PA-by-PA 1/&beta center/&sigma for e+(red)/&mu+(black)/&pi+(green) from stopped K+ decay.
PB-by-PB 1/&beta center/&sigma for e+(red)/&mu+(black)/&pi+(green) from stopped K+ decay.
1/&beta center/&sigma for e+(red)/&mu+(black)/&pi+(green) from stopped K+ decay, as the function of Light output on PB.

Cycle2 results

&sigma/peak center for &mu+ peak from stopped K+ -> &mu+&nu decay for all existing PA-PB combinations for E570 cycle2.
PAPBarmPB ROW/PA ROW 12 3 4 5 6 7 8 total
L 1 1.10238/0.020981.10150/0.020951.10016/0.020951.10059/0.021231.09961/0.021521.09978/0.020401.10157/0.020741.10276/0.02143 1.10081/0.021254
L 2 1.10154/0.018911.10074/0.019351.10057/0.019581.10033/0.020211.09937/0.019601.10056/0.020451.10233/0.020131.10352/0.02058 1.10091/0.0199769
L 3 1.10174/0.019971.10060/0.020151.10085/0.020311.10007/0.020381.09952/0.020531.10043/0.020441.10203/0.018821.10336/0.02116 1.10080/0.0203951
L 4 1.10256/0.021471.10157/0.020621.10015/0.020471.10020/0.019621.09981/0.019751.10069/0.019271.10216/0.019371.10265/0.01985 1.10100/0.0200234
L 5 1.10307/0.020171.10149/0.019711.10104/0.019841.09968/0.019411.09949/0.019491.10162/0.019371.10187/0.020031.10324/0.01943 1.10117/0.019738
L 6 1.10394/0.019841.10038/0.019321.10079/0.019391.09996/0.019081.10129/0.019821.10063/0.019571.10060/0.018781.10270/0.01952 1.10102/0.0194763
L 7 1.10213/0.018701.10197/0.018871.10041/0.020041.09983/0.018911.10002/0.018991.10116/0.019101.10235/0.019611.10440/0.02001 1.10127/0.0193881
L 8 1.10340/0.018661.10166/0.018091.10131/0.018691.09954/0.017391.09997/0.018061.10088/0.018281.10190/0.017711.10363/0.01928 1.10124/0.0182557
L 9 1.10343/0.018811.10185/0.018291.10063/0.018631.10038/0.018681.09883/0.018851.10155/0.018631.10243/0.018981.10333/0.01784 1.10127/0.0187329
L 10 1.10258/0.018951.10171/0.018371.10077/0.018591.10023/0.019221.09910/0.018841.10124/0.018851.10247/0.018481.10426/0.01895 1.10125/0.0188673
L 11 1.10439/0.019841.10233/0.018921.10070/0.020491.10030/0.018521.10016/0.018971.10115/0.019191.10154/0.019371.10344/0.01955 1.10146/0.0194006
L 12 1.10148/0.019781.10209/0.020141.09965/0.020481.09986/0.020131.10013/0.019591.10003/0.020021.10140/0.019631.10367/0.01991 1.10081/0.0200606
L 13 1.10349/0.019191.10224/0.018401.10170/0.019661.10038/0.018461.10018/0.019001.10154/0.018931.10193/0.020061.10314/0.01914 1.10158/0.0192103
L 14 1.10399/0.020631.10128/0.019391.10087/0.020261.10094/0.018791.10080/0.019411.10135/0.018541.10113/0.020151.10413/0.01951 1.10153/0.019565
L 15 1.10335/0.021471.10193/0.020711.10025/0.021581.10079/0.020461.09933/0.019631.10071/0.020451.10324/0.022411.10365/0.02226 1.10129/0.0210942
L 16 1.10249/0.021551.10100/0.020961.10193/0.021261.10088/0.022361.10053/0.021591.10096/0.020711.10094/0.020281.10222/0.02149 1.10134/0.0213227
L 17 1.10488/0.018801.10185/0.019561.10102/0.020031.10061/0.018781.10036/0.018231.10025/0.018861.10209/0.018341.10290/0.02038 1.10146/0.0192756
L total 1.10297/0.01966081.10164/0.01935641.10085/0.01981461.10035/0.019211.09988/0.01930881.10105/0.01927891.10207/0.01956341.10334/0.0198761-
R 1 1.10193/0.020421.09951/0.019221.10009/0.020631.10049/0.019511.09965/0.019121.09954/0.020121.10035/0.019111.10286/0.02198 1.10146/0.0199877
R 2 1.10207/0.019811.10262/0.020361.10126/0.020881.09931/0.018131.09875/0.018291.09959/0.020721.10140/0.019151.10161/0.02100 1.10047/0.0199219
R 3 1.10260/0.019221.10208/0.019271.10089/0.019561.09887/0.018411.09990/0.018781.10019/0.019411.10120/0.018671.10317/0.01937 1.10076/0.0191535
R 4 1.10342/0.019861.10184/0.018671.10103/0.019871.09967/0.018271.10004/0.018801.10061/0.019511.10193/0.018091.10350/0.01945 1.10117/0.0191919
R 5 1.10311/0.020701.10345/0.019091.10087/0.019621.09953/0.019021.10009/0.018941.10003/0.019451.10255/0.019491.10337/0.01938 1.10128/0.0194905
R 6 1.10263/0.018301.10251/0.018921.10156/0.019531.09954/0.018751.09978/0.017821.10058/0.018631.10162/0.018761.10244/0.01828 1.10112/0.0187286
R 7 1.10323/0.018641.10221/0.018461.10106/0.019251.09959/0.017641.10005/0.018211.10075/0.018811.10110/0.019191.10246/0.01812 1.10106/0.0186509
R 8 1.10298/0.019621.10216/0.018741.10086/0.020071.10034/0.019131.10001/0.018901.10074/0.018701.10217/0.018031.10313/0.01858 1.10127/0.0191196
R 9 1.10287/0.019181.10245/0.018911.10164/0.020891.10013/0.018471.10011/0.018721.10097/0.019151.10264/0.019061.10309/0.01805 1.10145/0.0192038
R 10 1.10204/0.019151.10251/0.018081.10146/0.019111.10016/0.018081.10023/0.017771.10028/0.017921.10183/0.018701.10445/0.01684 1.10134/0.0183123
R 11 1.10357/0.019711.10278/0.018511.10109/0.019481.09984/0.017941.10004/0.018301.10131/0.018381.10255/0.018841.10315/0.01842 1.10149/0.0187191
R 12 1.10309/0.019071.10255/0.019051.10121/0.020251.09974/0.019171.09987/0.017691.10028/0.018121.10230/0.018911.10323/0.01777 1.10124/0.0188896
R 13 1.10323/0.019731.10274/0.019041.10136/0.020141.10015/0.019041.10083/0.019051.10142/0.019871.10223/0.020471.10466/0.01952 1.10175/0.0196549
R 14 1.10228/0.019801.10289/0.018911.10232/0.020061.10007/0.018261.10031/0.018501.10146/0.020071.10321/0.019901.10382/0.01925 1.10182/0.0193974
R 15 1.10359/0.027401.10434/0.025471.10233/0.029661.10191/0.027411.10164/0.027921.10176/0.028321.10370/0.030481.10384/0.02731 1.10258/0.0284137
R 16 1.10378/0.021591.10317/0.017591.10145/0.020581.10088/0.018871.10176/0.020311.10315/0.020141.10161/0.021381.10529/0.02034 1.10227/0.0202575
R 17 1.10263/0.021751.10195/0.018191.10138/0.020311.10129/0.019311.10034/0.018791.10263/0.019101.10269/0.019761.10383/0.01974 1.10189/0.019577
R total 1.10262/0.01995291.1021/0.01943581.10102/0.02035351.09977/0.0189781.09984/0.01890111.10042/0.0195711.10153/0.0198131.10254/0.019515 -
PA-by-PA 1/&beta center/&sigma for e+(red)/&mu+(black)/&pi+(green) from stopped K+ decay.
PB-by-PB 1/&beta center/&sigma for e+(red)/&mu+(black)/&pi+(green) from stopped K+ decay.
1/&beta center/&sigma for e+(red)/&mu+(black)/&pi+(green) from stopped K+ decay, as the function of Light output on PB.
Arm-by-arm 1/&beta spectra.
Arm-by-arm correlation between 1/&beta VS PB-measured energy.