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FNAL beam test results update -- tracking in (r, ϕ ) plane for ref. detectors

FNAL beam test results update -- tracking in (r, ϕ ) plane for ref. detectors. A. Zhang, V. Bhopatkar, M. Phipps, J. Twigger , M. Hohlmann HEP Group A, Florida Tech 02/24/2014. Methodology. ϕ in the range of (- π /2, + π /2) Actually: (-20mrad, +20mrad). origin. CMS Eta5.

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FNAL beam test results update -- tracking in (r, ϕ ) plane for ref. detectors

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  1. FNAL beam test results update-- tracking in (r,ϕ) plane for ref. detectors A. Zhang, V. Bhopatkar, M. Phipps, J. Twigger, M. Hohlmann HEP Group A, Florida Tech 02/24/2014

  2. Methodology ϕ in the range of (-π/2, +π/2) Actually: (-20mrad, +20mrad) origin CMS Eta5 • Transfer (x,y) to (r,ϕ) coordinates. • The CMS straight & Zigzag radial strips have a fixed angle pitch (~1.3mrad). If the origin is selected as the vertex of this trapezoidal detector, strip position can be expressed in ϕ. • The vertex was not measured when the data was taken, need to find a way to figure it out (optimization). • In the figure above: the starting origin is set at 2127mm to the center of REF2, this point is close to the vertex. • The results are tried out for the 4 ref. detectors. REF 2 X 2127mm

  3. r distribution REF2 REF3 UVA3 REF1 Distribution in R is close to the distribution in X: r≈x The spacer in UVA3 can be seen

  4. ϕ distribution REF2 REF3 UVA3 REF1 Distribution in ϕ is similar to the distribution in Y: y≈rϕ

  5. Inclusive residual distribution in r REF2 REF3 σ=46μm σ=69μm UVA3 REF1 σ=55μm σ=59μm

  6. Inclusive residual distribution in ϕ REF2 REF3 σ=21μrad σ=31μrad UVA3 REF1 σ=23μrad σ=25μrad

  7. Inclusive residual in r versus r REF2 REF3 UVA3 REF1 Another way to look into the residual distributions

  8. Inclusive residual in ϕ versus ϕ REF2 REF3 UVA3 REF1

  9. Exclusive residual distribution in r REF2 REF3 σ=166μm σ=98μm UVA3 REF1 σ=89μm σ=137μm

  10. Exclusive residual distribution in ϕ REF2 REF3 σ=75μrad σ=44μrad UVA3 REF1 σ=38μrad σ=56μrad

  11. inclusive & exclusive resolutions

  12. Resolution comparison in (r,ϕ) and (x,y)coordinate systems (inclusive) Resolutions in (x,y) are also calculated at this origin. Resolution in r is very close to resolution in X; The last column is the resolution in y calculated from resolution in ϕ. Also, <x>≈<r> and <y>≈<ϕ>*L σϕ σy L=2127mm

  13. Summary • Tracking in (r,ϕ) plane is implemented for ref. detectors and is consistent with the resolution results as in (x,y) plane. • This means ϕ resolution for radial CMS/EIC with straight/zigzag strips can be studied, and thus resolution in Cartesian coordinates can be estimated. • We are going to implement this study… ϕ distribution on CMS sector 5. Strip pitch: 1.3mrad

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