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 REF 2 X 2127mm CMS Eta5 origin  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. 2

3. r distribution REF2REF3 UVA3REF1 Distribution in R is close to the distribution in X: r≈x The spacer in UVA3 can be seen 3

4. ϕ distribution REF2REF3 UVA3REF1 Distribution in ϕ is similar to the distribution in Y: y≈rϕ 4

5. Inclusive residual distribution in r REF2REF3 UVA3REF1 σ=46μm σ=69μm σ=55μmσ=59μm 5

6. Inclusive residual distribution in ϕ REF2REF3 UVA3REF1 σ=21μrad σ=31μrad σ=23μradσ=25μrad 6

7. Inclusive residual in r versus r REF2REF3 UVA3REF1 7 Another way to look into the residual distributions

8. Inclusive residual in ϕ versus ϕ REF2REF3 UVA3REF1 8

9. Exclusive residual distribution in r REF2REF3 UVA3REF1 σ=166μm σ=98μm σ=89μmσ=137μm 9

10. Exclusive residual distribution in ϕ REF2REF3 UVA3REF1 σ=75μrad σ=44μrad σ=38μradσ=56μrad 10

11. inclusive & exclusive resolutions exclu.Errinclu.Errgeo. Avg.ErrUnit REF2_r1660.9460.2800.4 μmμm REF3_r980.4690.3820.5 UVA3_r890.4550.2700.4 REF1_r1370.5590.2900.5 REF2_ϕ750.3210.1390.2 μrad REF3_ϕ440.2310.2370.2 UVA3_ϕ380.1230.1300.2 REF1_ϕ560.2250.1380.2 11

12. Resolution comparison in (r,ϕ) and (x,y) coordinate systems (inclusive) [μm]σ r [μm] [μrad]σ ϕ [μrad] [μm]σ x [μm] [μm]σ y [μm] REF23.6464.2213.746945 REF3-3.669-5.731-3.669-126966 UVA3-11.655-3.623-11.655-85049 REF110595251059105553 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, ≈ and ≈ *L σϕσϕ σyσy L=2127mm 12

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… 13 ϕ distribution on CMS sector 5. Strip pitch: 1.3mrad