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STT Fitting and Luminosity

STT Fitting and Luminosity. Fitting hardware description Current situation Processing time Instantaneous Lumi Dependence Possible changes Instantaneous Lumi Dependence Processing time Summary. Do we need to build more TFC’s at all? (and new hotlink merging card?). PCI-A. Input logic

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STT Fitting and Luminosity

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  1. STT Fitting and Luminosity • Fitting hardware description • Current situation • Processing time • Instantaneous Lumi Dependence • Possible changes • Instantaneous Lumi Dependence • Processing time • Summary Do we need to build more TFC’s at all? (and new hotlink merging card?) Hobbs

  2. PCI-A Input logic (coord/road) Output buffer L3 FIFO + logic Input buffer LUT LUT DSP DSP DSP DSP L2 ouput logic PCI-B PCI-C Fitting Hardware:TFC DSP’s see only a “road”, not an event… Input, each DSP* and output are run in parallel including multi-events in DSP’s Fitting time considerations: 1. Buffer Occupancy (16 evts.) 2. Bus contention 3. Processing time *Subject to shared bus constraints RED = external connection Hobbs

  3. PCI-A Input logic (coord/road) Input buffer Input buffer Output buffer L3 FIFO + logic Output buffer LUT LUT LUT DSP DSP DSP DSP DSP DSP DSP DSP L2 ouput logic PCI-B PCI-C Fitting Hardware:TFC 33 MHz “Odd” roads “Even” roads 33/2 MHz 33 MHz Actually have 8 DSP’s/TFC as 2x4 Hobbs

  4. Data taken 7/14/04 2 mm road(?) STT per track Efficiency Thanks, Huishi STT track Purity Look at Lumi Effects in Data Derive efficiency and purity with respect to reco+CTT tracks in STT acceptance Already seeing effects from instantaneous lumi Hobbs

  5. 1 track trigger Efficiency Rejection 100 Efficiency vs. Rejection in MC Signal & background as defined later: Signal, bb final state Bkg, “uu” final state 2 track trigger Hobbs

  6. L = 23e30 No fit Fraction/ms “No” tails Pass 1 pass 2 Fitting Time, ms But, currently: Lots of Extra CPU Time Available <t> = 16ms No “by hand” optimization, e.g. each hit seen 4x now, could logically reduce to 2x Early queuing studies: 50 ms mean fitting time is fine! Hobbs

  7. And buffer/logic occupancy low These data are with extended read out mode, so higher occupancy Lumi(e30) Mostly empty/idle at existing luminosities. Easily tolerate very large increases everywhere in logic proc. and buffers Extended readout, 2x Hobbs

  8. Higher inst. lumi means more hits. What does this do to pattern recognition? No effect on parameter calculation precision Use data and MC Run 2A detector don’t expect Layer 0 to provide much patrec help Full software chain ready Look at relative effects Samples Run 2 data (7/14/04) Run 195134, L=62e30 Run 195138, L=23e30 Run 195143, L=15e30 Run 2 MC, “b Signal” WH->mnbb 0.5 mb WH->mnbb 7.5 mb Run 2 MC, “b Bkg” Z->udsuds 0.5 mb Z->udsuds 7.5 mb Revised fit algorithm for Run 2B MC ala Uli’s earlier study MC, 2 ways: default, or remove ladders bad in data Hobbs

  9. Current algorithm Bounded exec time! Uses “Static Road” Hits closest to circle though CFT-H, -A & beam spot Require barrel order Can skip 1 SMT superlayer If 1st fit is bad, drop a hit (if all 4 layers) New possibilities Keep bounded time? Try “Dynamic Road” Hits closest to circle through CFT-H, -A & an STT hit Test barrel effects Retain 1 layer skipping Test different hit removal algorithms None, 1st layer, … Look at ways to modify hit selection Hobbs

  10. CFT H CFT A Beam spot Hit Selection:Details Two circle definition algorithms: Static Road (Current)Dynamic Road (D0 Note 3743) one circle for selection here, 2 circles Always choose hits closest to the circle… Hobbs

  11. Some Acceptable combinations r r z z Some unaccepable combinations Hit Selection: Details In addition have limited z-information via barrel segmentation (allow at most 1 barrel transition) Do we first check all combinations, then select? Hobbs

  12. Hit Selection: Details For either algorithm choose: 1. width in which to search: 1mm, 2mm 2. look at hits in valid barrel(z) combos only Choose what to do with 4th SMT hit if bad 1st pass fit? Refit after 1. Drop hit with worst c2 2. Drop inner layer (suggested by scanning) 3. Drop 1st layer if 1stor 2nd layer is worst 4. Never Do or do not impose barrel ordering Hobbs

  13. Fitting: Current algorithm Static road: use beam spot Road half-width: 1mm All hits-in-road (do not make list of hits in valid combinations before selection (time) Require barrel ordering If bad 1st fit, drop hit with worst c2 Hobbs

  14. Make efficiency vs. rejection plots For example, 2 track trigger low & high lumi 3 “algorithms”, 1 track in trig. Have many, many curves… Rejection Hobbs

  15. Choosing an algorithm Too many curves to overlay in a reasonable manner. So, make tables of rejection at specific efficiencies for ³1 or ³2 track(s) satisfying Sb>X in trigger, low and high luminosities Hobbs

  16. Rejection at e = 80% 1 Track 2 Track Processing Mode Algorithm Low High Low High Standard Static Road, 2mm 2.6 2.4 2.2 1.8 Static Road, 1mm 2.9 2.4 2.2 2.0 Dynamic Road, all hits 3.0 2.5 2.82.4 Dynamic Road, combo hits 2.9 2.6 2.82.4 1 pass Static Road, 2mm 2.5 1.8 1.9 1.7 Static Road, 1mm 2.3 1.9 2.1 1.8 Dynamic Road, all hits 2.8 2.6 2.3 2.1 Dynamic Road, combo hits 2.8 2.9 2.3 2.1 Drop 1st not 2nd Static Road, 2mm 2.6 2.3 2.0 1.7 Static Road, 1mm 2.9 2.2 2.3 1.9 Dynamic Road, all hits 3.12.7 2.6 2.4 Dynamic Road, combo hits 3.12.8 2.5 2.4 Drop inner Static Road, 2mm 2.8 2.2 2.0 1.9 Static Road, 1mm 2.7 2.4 2.3 1.8 Dynamic Road, all hits 3.22.8 2.5 2.3 Dynamic Road, combo hits 3.22.9 2.5 2.3 No barrel order Static Road, 2mm 2.8 2.3 2.2 1.9 Static Road, 1mm 2.8 2.4 2.1 1.9 Dynamic Road, all hits 3.0 2.1 2.72.5 Dynamic Road, combo hits 3.0 2.2 2.82.6 Standard MC Hobbs

  17. Rejection at e = 70% 1 Track 2 Track Processing Mode Algorithm Low High Low High standard Static Road, 2mm 5.6 3.9 5.3 3.5 Static Road, 1mm 5.9 3.9 5.2 3.4 Dynamic Road, all hits 4.5 3.4 6.4 4.8 Dynamic Road, combo hits 4.6 3.5 6.4 4.9 1 pass Static Road, 2mm 5.0 3.3 3.4 2.7 Static Road, 1mm 5.4 3.5 4.2 2.4 Dynamic Road, all hits 7.34.5 4.6 3.6 Dynamic Road, combo hits 7.44.8 6.0 4.3 drop 1st not 2nd Static Road, 2mm 6.3 4.0 3.7 2.7 Static Road, 1mm 6.1 4.2 4.7 3.1 Dynamic Road, all hits 5.1 3.7 6.64.8 Dynamic Road, combo hits 5.2 3.8 6.75.0 drop inner always Static Road, 2mm 6.0 4.3 4.6 3.1 Static Road, 1mm 5.9 4.2 4.5 3.0 Dynamic Road, all hits 5.7 3.8 6.5 5.1 Dynamic Road, combo hits 5.7 3.9 6.6 5.2 no barrel order Static Road, 2mm 5.6 3.4 4.9 3.4 Static Road, 1mm 5.5 3.3 4.8 3.3 Dynamic Road, all hits 4.1 2.6 6.9 3.4 Dynamic Road, combo hits 4.3 2.8 6.7 3.9 Standard MC Hobbs

  18. Rejection at e = 50% 1 Track 2 Track Processing Mode Algorithm Low High Low High standard Static Road, 2mm 12.0 7.2 24.0 12.0 Static Road, 1mm 12.0 7.3 23.0 11.0 Dynamic Road, all hits 8.6 5.7 18.0 9.2 Dynamic Road, combo hits 8.7 5.9 18.0 9.3 1 pass Static Road, 2mm 19.010.0 14.0 7.3 Static Road, 1mm 19.011.0 18.0 8.4 Dynamic Road, all hits 14.0 8.2 31.017.0 Dynamic Road, combo hits 15.08.831.017.0 drop 1st not 2nd Static Road, 2mm 14.08.8 22.0 12.0 Static Road, 1mm 14.08.826.013.0 Dynamic Road, all hits 9.7 6.2 21.0 9.8 Dynamic Road, combo hits 9.8 6.4 21.0 10.0 drop inner always Static Road, 2mm 12.0 8.0 25.0 12.0 Static Road, 1mm 12.0 8.0 24.0 13.0 Dynamic Road, all hits 9.9 6.0 20.0 11.0 Dynamic Road, combo hits 9.9 6.4 20.0 12.0 no barrel order Static Road, 2mm 11.0 6.0 20.0 9.3 Static Road, 1mm 11.0 5.9 20.0 9.1 Dynamic Road, all hits 7.3 4.1 15.0 5.8 Dynamic Road, combo hits 8.0 4.4 16.0 6.9 Standard MC Hobbs

  19. Rejection at e = 20% 1 Track 2 Track Processing Mode Algorithm Low High Low High standard Static Road, 2mm 40.0 18.0 170.0 40.0 Static Road, 1mm 40.0 20.0 140.0 42.0 Dynamic Road, all hits 22.0 18.0 65.0 33.0 Dynamic Road, combo hits 22.0 18.0 63.0 31.0 1 pass Static Road, 2mm 61.041.0180.0110.0 Static Road, 1mm 58.035.0190.093.0 Dynamic Road, all hits 44.0 21.0 160.0 54.0 Dynamic Road, combo hits 43.0 23.0 160.0 50.0 drop 1st not 2nd Static Road, 2mm 48.024.0190.072.0 Static Road, 1mm 47.025.0170.070.0 Dynamic Road, all hits 26.0 16.0 83.0 33.0 Dynamic Road, combo hits 25.0 17.0 83.0 34.0 drop inner always Static Road, 2mm 33.0 21.0 110.0 64.0 Static Road, 1mm 35.0 21.0 110.0 60.0 Dynamic Road, all hits 28.0 16.0 83.0 36.0 Dynamic Road, combo hits 27.0 17.0 80.0 37.0 no barrel order Static Road, 2mm 40.0 17.0 110.0 34.0 Static Road, 1mm 42.0 17.0 100.0 35.0 Dynamic Road, all hits 18.0 12.0 46.0 17.0 Dynamic Road, combo hits 20.0 14.0 50.0 18.0 Standard MC Hobbs

  20. Allow unbounded execution time Try all combinations Save best c2/road Compare with best of the other algorithms use default MC Rejection Ratios 1 Track 2 Track . Low High Low High E=80% 1.13 0.86 1.03 1.15 70% 0.67 0.67 1.17 0.92 50% 0.42 0.45 0.52 0.46 20% 0.31 0.34 0.24 0.20 There are a few points with 15% increase in rejection, but most show significant loss Hit Selection: An unbounded aside Showrejection ratio Rejection “All Combos” Rejection “Standard” So >1 means “all” is better Hobbs

  21. Efficiency/Rejection will be lumi dependent Algorithm high effi: Dynamic low effi: Static Consistent pattern for both MC samples all barrels live good barrels live Revised Algorithm Best Choice Algorithm(±10%) Effi 1 Trk 2 Trk . 80% Dynamic Dynamic 1 not 2 1 not 2 70% Dynamic Dynamic 1 pass 1 not 2 50% Static Dynamic 1 pass 1 pass 20% Static Static 1 pass 1 pass Hobbs

  22. Revised Algorithm • What to do? • Can we make a decision about needing more TFC’s without actually choosing the algorithm today? • Compare time of • dynamic road, all hits, 2 passes allowed (longest) • with current standard algorithm NB: Ignoring “valid combos” choice <10% in rejection, but much faster Choosing “wrong” road alg. is mild at high efficiency but 50% loss in rej at high rejections 2nd pass algorithm could be chosen at run-time Hit rejection algorithms have modest impact on processing time, so focus on initial selection Hobbs

  23. Comparison: 1 Track Req. Efficiency Default MC Rejection Hobbs

  24. Comparison: 2 Track Req. Efficiency Default MC Rejection Hobbs

  25. Hit Selection Marginal increase, still fixed Dynamic: Need one fit for each hit in minimum occupancy layer: +???% Layer 0 Limited impact (+20% overall) Linear in hit selection Marginal change in parameter calculation 3x5 matrix -> 3x6 matrix Extra term in c2 Dynamic Road, “1st not 2nd”: Processing Time Hobbs

  26. Monte Carlo 7.5 minbias <n> = 1.55 Current data 60e30. <n> = 1.60 How many hits? Hobbs

  27. Dynamic Road, 2 pass: Processing Time • Hit Selection • Marginal increase, still no tails • Need one fit for each hit in minimum occupancy layer: +60% • Layer 0 • Limited impact (<20% overall) • Linear in hit selection • Marginal change in parameter calculation • 3x5 matrix -> 3x6 matrix • Extra term in c2 Net: +80%, incl. extra hits and matrix for Layer0 Maybe processing time increases 2x? gives <t> = 30 ms still well below problem times Hobbs

  28. Roads/TFC Current means All roads: 3.1/tfc/evt Fittable: 2.2/tfc/evt 8-fold parallel CPU’s For < 8 tracks, small change in time Then for <16 small change Doesn’t seem like a problem Hits/road 15e30 to 60e30 gave +25% similar factor for final luminosity, so if linear, another +25% Known code inefficiency each hit looked at 4x, could be <= 2x get hits in 2 mm, then discard those outside 1 mm. Compute dx for all… What about occupancy? What about skip bit? Hobbs

  29. Use data sender with kludged high multiplicty evts to test data vs. kludge (no spike) send with Poisson interval Event time (tfit = 34 ms) What about occupancy? <>, Green = data <>, red = 2.5x data Rate tevt(ms) (kHz) “Std” “Big” 2 kHz 47 48 3 46 47 4 76 5 80 6 49 85 Hobbs

  30. Making exact copies of TFC’s No firmware mods needed All parts in hand. Need boards and assembly. Designing and building hotlink merge cards* Have 0th order layout. Finalize and order Have draft firmware (JDH or new eng.) Both based on existing board Building other boards? Motherboards, LRB’s, LTB’s What would we save? *or 2 more MBT’s + L2CTT software Hobbs

  31. In any scenario, need to revise software (incl. trigsim fitters) LUT’s to accommodate Layer 0 Who? Junjie Zhu, as a post doc (11/15) Ken Herner, student (10/15) Both already familiar w/D0 JDH if build, 1 engineer (Chuck Pancake) What would we not save? Hobbs

  32. Conclude • Do not add additional TFC’s/crate • Likely switch to Dynamic Road algorithm • 2nd pass definition can be tweaked… • Plan to use current except drop 1st layer if 2nd contributes most to c2 • No matter which of these are used, none require more hardware Hobbs

  33. Extras follow Hobbs

  34. Rejection at e = 80% 1 Track 2 Track Processing Mode Algorithm Low High Low High standard Static Road, 2mm 1.7 1.8 1.7 1.8 Static Road, 1mm 1.9 1.8 1.7 1.7 Dynamic Road, all hits 2.02.2 1.8 1.8 Dynamic Road, combo hits 1.9 2.1 1.8 1.9 1 pass Static Road, 2mm 1.6 1.6 1.8 2.1 Static Road, 1mm 1.8 1.6 1.8 1.9 Dynamic Road, all hits 1.9 1.8 1.7 1.8 Dynamic Road, combo hits 1.9 1.9 1.7 1.7 Drop 1st not 2nd Static Road, 2mm 1.7 1.8 1.8 1.9 Static Road, 1mm 1.7 1.8 1.7 1.8 Dynamic Road, all hits 2.0 2.0 1.7 1.8 Dynamic Road, combo hits 2.02.1 1.8 2.0 Drop inner always Static Road, 2mm 1.7 1.7 1.8 1.9 Static Road, 1mm 1.9 1.8 1.7 1.8 Dynamic Road, all hits 2.0 2.1 1.8 1.8 Dynamic Road, combo hits 2.02.1 1.8 1.9 No barrel order Static Road, 2mm 1.9 1.8 1.7 1.7 Static Road, 1mm 1.9 1.9 1.7 1.8 Dynamic Road, all hits 2.12.1 1.8 2.0 Dynamic Road, combo hits 2.12.2 1.8 1.9 Ladder removed MC Hobbs

  35. Rejection at e = 70% 1 Track 2 Track Processing Mode Algorithm Low High Low High standard Static Road, 2mm 3.3 2.9 2.5 2.5 Static Road, 1mm 3.6 3.0 2.9 2.3 Dynamic Road, all hits 3.8 3.4 3.2 2.7 Dynamic Road, combo hits 3.9 3.5 3.13.0 1 pass Static Road, 2mm 2.9 2.4 2.4 2.1 Static Road, 1mm 3.2 2.5 2.6 2.3 Dynamic Road, all hits 4.2 3.2 3.0 2.4 Dynamic Road, combo hits 4.1 3.4 2.9 2.7 Drop 1st not 2nd Static Road, 2mm 3.5 2.8 2.6 2.3 Static Road, 1mm 3.4 3.0 2.5 2.4 Dynamic Road, all hits 3.8 3.6 2.8 2.9 Dynamic Road, combo hits 4.13.7 2.7 2.8 Drop inner always Static Road, 2mm 3.4 3.0 2.5 2.3 Static Road, 1mm 3.4 3.2 2.4 2.4 Dynamic Road, all hits 4.43.6 2.7 2.8 Dynamic Road, combo hits 4.43.63.2 2.7 No barrel order Static Road, 2mm 3.6 2.9 2.9 2.5 Static Road, 1mm 3.9 2.8 2.8 2.4 Dynamic Road, all hits 3.9 2.7 3.63.2 Dynamic Road, combo hits 3.9 2.9 3.13.1 Ladder removed MC Hobbs

  36. Rejection at e = 50% 1 Track 2 Track Processing Mode Algorithm Low High Low High standard Static Road, 2mm 10.0 6.9 11.0 6.3 Static Road, 1mm 10.0 7.4 11.0 8.4 Dynamic Road, all hits 8.2 5.9 14.0 9.1 Dynamic Road, combo hits 8.2 6.0 15.0 9.9 1 pass Static Road, 2mm 13.0 7.3 7.5 4.6 Static Road, 1mm 14.08.0 9.0 6.5 Dynamic Road, all hits 10.0 7.0 13.0 9.0 Dynamic Road, combo hits 10.0 7.4 16.0 9.7 Drop 1st not 2nd Static Road, 2mm 12.07.5 10.0 6.2 Static Road, 1mm 13.07.7 10.0 6.6 Dynamic Road, all hits 8.9 6.3 14.0 9.2 Dynamic Road, combo hits 8.9 6.5 16.010.0 Drop inner always Static Road, 2mm 11.0 8.0 10.0 7.1 Static Road, 1mm 12.07.7 12.0 8.0 Dynamic Road, all hits 9.7 6.0 14.0 10.0 Dynamic Road, combo hits 9.5 6.3 15.010.0 No barrel order Static Road, 2mm 9.8 5.4 10.0 7.2 Static Road, 1mm 9.6 5.5 10.0 6.8 Dynamic Road, all hits 7.3 4.3 13.0 5.8 Dynamic Road, combo hits 7.8 4.9 14.0 7.2 Ladder removed MC Hobbs

  37. Rejection at e = 20% 1 Track 2 Track Processing Mode Algorithm Low High Low High standard Static Road, 2mm 47.0 22.0 120.0 48.0 Static Road, 1mm 48.0 23.0 120.0 48.0 Dynamic Road, all hits 23.0 17.0 57.0 31.0 Dynamic Road, combo hits 22.0 18.0 54.0 33.0 1 pass Static Road, 2mm 68.028.0160.068.0 Static Road, 1mm 74.026.0140.064.0 Dynamic Road, all hits 33.0 18.0 70.0 43.0 Dynamic Road, combo hits 32.0 19.0 68.0 42.0 Drop 1st not 2nd Static Road, 2mm 54.025.0160.060.0 Static Road, 1mm 56.025.0160.059.0 Dynamic Road, all hits 25.0 17.0 66.0 35.0 Dynamic Road, combo hits 26.0 19.0 65.0 37.0 Drop inner always Static Road, 2mm 43.0 22.0 130.0 57.0 Static Road, 1mm 46.0 22.0 140.0 57.0 Dynamic Road, all hits 27.0 14.0 67.0 33.0 Dynamic Road, combo hits 26.0 16.0 66.0 34.0 No barrel order Static Road, 2mm 41.0 15.0 100.0 28.0 Static Road, 1mm 39.0 17.0 95.0 28.0 Dynamic Road, all hits 20.0 13.0 47.0 17.0 Dynamic Road, combo hits 21.0 15.0 48.0 19.0 Ladder removed MC Hobbs

  38. Use highest lumi run from data, and use 7.5 mb MC As with previous, use trigsim and standard algorithm Plot dropped layer, with 0 meaning no drop. Use (current) 1 mm road How many fits are multi-pass? Run 195134 1 pass, 77% Skipped Layer 23% of fits (in data) require a 2nd pass Hobbs

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