1. MICE Collaboration Meeting 8th Octorber 2006 1 KEK Beam Test Analysis Hideyuki Sakamoto 16 th MICE Collaboration Meeting 8 th October 2006

2. MICE Collaboration Meeting 8th Octorber 2006 2 Contents Comparing fitted results with MC and Data –Chi2 Distribution –Residual Distribution Pz Resolution Pt Resolution Summary

3. MICE Collaboration Meeting 8th Octorber 2006 3 Track Reconstruction Assuming “ Uniform B-Field ” and “ NO scattering ” Chi2 to be minimized –Input: xi,yi, i=1,4 –Output: x0,y0,p0,R,L –Degree of freedom: 8-5=3 x 0, y 0 00 #4 #3 #2 #1 R

4. MICE Collaboration Meeting 8th Octorber 2006 4 Chi-squared Distribution MCDATA D.o.f.=3 chi2 distribution Sig=0.82mm Sig=0.97mm

5. MICE Collaboration Meeting 8th Octorber 2006 5 Residual – MC – 325MeV/c 6degree

6. MICE Collaboration Meeting 8th Octorber 2006 6 Residual – DATA – 325MeV/c 6degree

7. MICE Collaboration Meeting 8th Octorber 2006 7 Summary of Residual for X Fitted_Mean DATA MC Fitted_Sigma 250MeV/c 325MeV/c 400MeV/c

8. MICE Collaboration Meeting 8th Octorber 2006 8 Summary of Residual for Y Fitted_Mean DATA MC Fitted_Sigma 250MeV/c 325MeV/c 400MeV/c

9. MICE Collaboration Meeting 8th Octorber 2006 9 P_TOF P_fit =√(Pt_fit)^2+(Pz_fit)^2 ~ (Pz_fit) Pz resolution is estimated by comparing the fitted momentum with the DATA from TimeOfFlight. –P_TOF is the momentum calculated from TimeOfFlight at the TOF hodoscope –Pt_fit / Pz_fit is the fitted momentum horizontal / perpendicular to the tracker’s plane Pz Resolution Beam line Pz_fit Pt_fit P_TOF TOF Hodoscope Tracker

10. MICE Collaboration Meeting 8th Octorber 2006 10 Momentum Distribution calculated from TimeOfFlight Momentum (P_TOF) is calculated by TimeOfFlight data measured at TOF hodoscope. electron muon pion P_TOF = M √cT/L (cT/L+2) c: speed of light M: mass of muon L: distance (T1  TOFhodoscope) T: TimeOfFlight (T1  TOFhodescope) Assuming that beta for electrons is nearly 1. muon 250MeV/c,6degree, TOF#2

11. MICE Collaboration Meeting 8th Octorber 2006 11 Pz Error – MC –  _fit = 6% 250MeV/c,6degree, TOF#2

12. MICE Collaboration Meeting 8th Octorber 2006 12 Pz Error – DATA –  _fit = 8% 250MeV/c,6degree, TOF#2

13. MICE Collaboration Meeting 8th Octorber 2006 13 Pt Resolution It is difficult to estimate Pt resolution from DATA, because there is no direct observable value for Pt. Pt resolution could be estimated easily, if the spread of Pt distribution is narrow. ….But DATA shows broad distribution. So, in order to make the beam be sharp, CUT by the hit position at the TOF hodoscope will be applied.

14. MICE Collaboration Meeting 8th Octorber 2006 14 Pt Distribution PZ 6 degree rotated 3 degree rotated DATA MC 250MeV/c MC

15. MICE Collaboration Meeting 8th Octorber 2006 15 Pt Distribution with TOF cut 6 7 8 9 10 1 2 3 4 5 TOFVTOFV TOFH Data_fit MC_fit @ TOFH#2 400MeV/c 3degree

16. MICE Collaboration Meeting 8th Octorber 2006 16 Pt Distribution with TOF cut 6 7 8 9 10 1 2 3 4 5 400MeV/c 3degree TOFVTOFV TOFH @ TOFH#3 Data_fit MC_fit

17. MICE Collaboration Meeting 8th Octorber 2006 17 Pt Distribution in each TOF hodoscope cell 400MeV/c 3degree DATA (3deg.) MC (3.5deg.) MC (3deg.) Mean Sigma MC result for 3.5 degree becomes more close to Data than that of 3.0 degree. So, it suggests that JC magnet was set with more angled. 6 7 8 9 10 1 2 3 4 5 TOFVTOFV TOFH Data_fit @ TOFH#2

18. MICE Collaboration Meeting 8th Octorber 2006 18 Summary Pt and Pz resolution are studied using ‘helical fitting’. Pz resolution is estimated at 8% by comparing with TimeOfFlight measured at TOF hodoscope. Pt resolution is difficult to be estimated due to wide-spread distribution. So, TOF CUT by hit position is applied, which makes the beam to be narrow and be divided into several peaks. In the study so far, it is found that MC and Data will looks similar. Estimating the pt resolution is the next step…