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UIUC Muon Trigger Update M. Selen, UIUC, Nov/2/2001

UIUC Muon Trigger Update M. Selen, UIUC, Nov/2/2001. Quick recap of previous work. Outline of recent work to fully exploit geometric goodies. Efficiency & rejection for a particular scheme. In this study we assume 3 stations with 3 views each (r,u,v). U & V views. R view.

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UIUC Muon Trigger Update M. Selen, UIUC, Nov/2/2001

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  1. UIUC Muon Trigger UpdateM. Selen, UIUC, Nov/2/2001 • Quick recap of previous work. • Outline of recent work to fully exploit geometric goodies. • Efficiency & rejection for a particular scheme.

  2. In this study we assume 3 stations with 3 views each (r,u,v) U & V views R view

  3. Algorithm used in this study: • Sparsify hits in each view. • Adjacent multi-hits “clustered” to a single tube. • Simple to do in hardware. • Find {R,U,V} space-points in each station by exploiting the geometric constraint:U + V – Rcos(22.5) = 65.5 • Gets rid of most random {R,U,V} combinations. • Efficient to do in software. • Can exploit correlations between stations to do this even more efficiently in the end.

  4. 3D Scatter plot in {R0,R1,R2} spacefor a sample of good muon candidates(all octants). Points are veryhighly correlated(see rotated plot…) Similar planar correlation exists for U, V, (U-V) R2 R1 R0 RNis the radial tube in station N. (numbering is out  in)

  5. Points are very well fit by a simple plane. Very tight cuts canbe made in this space.This is equivalent to a c2 lookup tablefor a bend-plane fit. R2 R0 R1

  6. uds events • good muon tracks For uds events, only the {R1,R2,R3} combination closest to the “good muon plane” is shown for each event.

  7. How to exploit this: • Rotate {x,y,x} coordinate system such that the “good event plane” lies at {x’,y’,0}: y’ z’ x’

  8. x’ y’ Create a lookup table in {x’,y’} plane z’ Cut directly on narrow z’ distribution

  9. x’ y’ z’ Do the same thing in (u-v) space.

  10. Rejection & Efficiency: • Candidates must pass {R} and {UV} “in pane” lookup tables. • For each candidate we also calculate • Dz {R}, Dz {U}, Dz {V}, Dz {U-V} (i.e. normalized distances to various planes) • These are averaged in quadrature to form Dtot(normalized distance from {R,U,V,U-V} hyper-plane. • Cuts of varying tightness are made on Dtot:

  11. muon efficiency 1 track 2 tracks • Denominator: muons that satisfy • all views hit • R of track < 300 in all stations uds rejection 2 tracks 1 track when no muonsare present in uds event 1 track (any uds event) Dtot cut

  12. What's next: • Timing & code efficiency studies with DSP emulation studio. • “Rotations” should be fast (Nintendo). • Compare our results to previous work. • I think this method is (by construction) equivalent to full blown c2, but we need to check details.

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