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Current Approaches to SMT Road Widths and CFT Layer Optimization

This document analyzes the current situation regarding SMT (Silicon Microstrip Tracker) road widths, focusing on the implications of adding a third CFT (Central Fiber Tracker) layer and the use of all eight CFT layers. Key considerations include sensitivity requirements for b and k parameters, road width constraints, and the impact of multiple scattering. The analysis includes results from various simulations and plots that display the road width against SMT radius with specific constraints. The findings suggest limited improvement from a third layer while emphasizing the complex interplay between tracking parameters and layer contributions.

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Current Approaches to SMT Road Widths and CFT Layer Optimization

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  1. SMT Road Widths & Extra CFT Layers • Current Situation • Adding a 3rd CFT layer • Using all 8 CFT layers • Summary Hobbs (thanks Hal)

  2. Current Method • Use A, H layers of CFT • Require sensitivity for • |b| < 0.2 cm • |k| < 0.002 cm-1 (pT > 1.5 GeV) • 2 hits only: Road width driven by IP range, |b| < 0.2 cm • Road width ±2 mm (or ±1 mm?) • DÆ Note 3363 (Uli) • Same width for all SMT layers Hobbs (thanks Hal)

  3. See the following combinatoric scale Hobbs (thanks Hal)

  4. And as a function of road width Hobbs (thanks Hal)

  5. H A Add a 3rd CFT Layer • Vary track true b,k • Find 3 fibers hit for b,k • Bound road width • Try all 8 tracks touching edge of the 3 fibers (2 of 8 shown) • Only tracks meeting |b| and |k| constraints • Plot f at each SMT radius (circular approx OK) • Keep fMIN fMAX fTRUE for each layer • Road: df*r Hobbs (thanks Hal)

  6. Result: Road width vs. radius Plot is for NO |b|<0.2 mm constraint, with constraint, ROAD = ±2mm Hobbs (thanks Hal)

  7. Using all 8 CFT Doublets • Choose true b, k, f0(=0.0) • Determine fibers hit • Find widths for “all” tracks allowed by hit fibers (use random numbers) • Plot width at each SMT layer Hobbs (thanks Hal)

  8. One example (b=k=0) Lightly shaded area: w/constraint |b|<2 mm Hobbs (thanks Hal)

  9. Conclusions... • Adding only a 3rd layer is little help • |b|<0.2cm still drives width • Full information from 8 layers • Optimum road width, SMT layer dependent • Layer 4(outermost), Half width = 1 mm • Layer 1(innermost), Half width = 2 mm • Impact of multiple scattering and CFT alignment precision unknown • Make a few more sanity checks… • Fiber “resolution”: square w/width 1 mm • Simulate fiber bins? • Clear plot for 3 fiber case w/constraint Hobbs (thanks Hal)

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