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Status of Fast Tracking Algorithm MdcHough

This document provides an overview of the MdcHough algorithm, designed for efficient track finding in particle physics. Developed for MDC reconstruction, the algorithm demonstrates excellent transverse momentum resolution and high efficiency (over 99%) even in high noise conditions. By utilizing a look-up table base for initial track finding, local maximum finding, track selection, and fitting, the algorithm achieves a reconstruction time of approximately 1ms per track. Results indicate strong momentum resolution, though efficiency decreases with high polar angles. Future work aims to enhance algorithm performance in varying magnetic fields.

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Status of Fast Tracking Algorithm MdcHough

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  1. Status of Fast Tracking Algorithm MdcHough Guowei YU 8th March 2006

  2. Outline • Introduction • MdcHough Algorithm • Results and Discussions • Summary

  3. Introduction • Algorithm Developments in MDC Reconstruction • Presented by W.D.Li ,Migrated from ATLAS

  4. Purpose • Efficient track finding • Nice transverse momentum resolution • High efficiency of track finding at high noise level

  5. Cosθ=0.83 Cosθ=0.93 Interaction point MdcHough Algorithm • 43 layers,19 axial type • |cos|<0.93 • Cell is near square ~8.1mm

  6. Flow of MdcHough Initial track finding MdcHough Local maximum finding Hits PT Track selection and Merging Track fitting

  7. Initial track finding (use a LUT-base Hough Transform) (R,)  (,1/pT) [(0~2) pT (400MeV~)] qCTR=sin (–0) CT= 0.3/pT Build a wire-ordered look-up table (  1/pT= 300  100) . wire n+1 wire n active wire n-1 wire . . Flow of MdcHough

  8. Local maximum finding (select good track candidates by wired-oreded LUT) Track selectionand Merging Nhit > 15 Merge some tracks sharing more than 9 hits Flow of MdcHough Flow of MdcHough

  9. Flow of MdcHough Flow of MdcHough • Track fitting • Obtain hits from Bin-ordered LUT • Fitting track to get PT by using lpav tool . bin n+1 bin n bin bin n-1 number . .

  10. Track Reconstruction CPU Time~ 1ms/1 track Resolution of PT(1.0GeV ) Generate (PT :1GeV) by Fixpt Efficiency of Reconstruction () VS cos(polar angular) Results and Discussion p=8.0 MeV

  11. Efficiency of Reconstruction VS PT( e  p) Momentum resolution VS PT (μ,e,π,p) Double Gauss Fit

  12. Efficiency vs noise Resolution VS noise Noise level type 0: = C type 1:  1/r type 2: 1/r2 (PT:1.0GeV )

  13. Summary • It costs about 1ms to reconstruct 1 track • Efficiency of reconstruction() : •  >99% (PT>300MeV) for single track •  >99% when noise level are 5%,10% ,15% and 20% •  decrease quickly when polar angular more than 0.8 • Resolution of momentum(p): • PT < 1.0GeVp of proton is more than others • PT > 1.0GeVp keeps about same value for all particles • p turns badatnoise level is more than 10% in type “0” • Same results by adding wires shift; • Further work is to enhance  nearpolar angular and test the Algorithm in adjusted magnetic field

  14. Thank!

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