Summer04 final Rc results details (Nicolo) ================================= Using Fit1.C Rb 96 9798 raw 0.216021 +- 0.002940 0.218990 +- 0.001099 smear 0.214959 0.218593 ( 397) tkeff 0.216021 0.219252 (-262) ref 0.214959 0.218883 ( 107) gcc 0.214274 0.217946 gbb 0.214406 0.218360 gall 0.213715 0.217428 check: 397 - 262 = 137 found 107 (9798) Eb: 96 9798 raw 0.565876 +- 0.006144 0.617960 +- 0.002203 smear 0.567316 0.618535 tkeff 0.565876 0.617589 ref 0.567316 0.618236 gcc 0.619594 gbb 0.618974 gall 0.620333 MyRb 96 9798 raw 0.216324 0.219081 smear 0.215278 0.218688 tkeff 0.216324 0.219339 ref 0.215278 0.218955 gcc 0.214587 0.218020 gbb 0.214729 0.218436 gall 0.214034 0.217508 --------------- Using Fit4se2.C Rc 96 9798 raw 0.176645 +- 0.009338 0.179236 +- 0.003307 smear 0.174891 0.179408 tkeff 0.176645 0.179205 ref 0.174891 [0.215648] 0.179475 [0.218199] gcc 0.169577 [0.215034] 0.175321 [0.217333] gbb 0.175106 [0.215059] 0.179661 [0.217662] gall 0.169795 [0.214437] 0.175506 +- 0.3282 [0.216801] -0.243 -0.191 Gluon Splitting: g->cc our MC: 1.357%, LEPEWWG: 2.96 +- 0.38% scale factor: 2.96 / 1.357 = 2.2181 error: 0.38 / (2.96 - 1.357) = 0.237 g->bb our MC: 0.142%, LEPEWWG: 0.254 +- 0.051% scale factor: 0.254 / 0.142 = 1.788 error: 0.051 / (0.254 - 0.142) = 0.455 96: g_cc : dRc = -0.005334 +- 0.001264 dRb = -0.000691 +- 0.000164 g_bb : dRc = +0.000215 +- 0.000098 dRb = -0.000549 +- 0.000250 9798: g_cc : dRc = -0.004154 +- 0.000984 dRb = -0.000935 +- 0.000222 g_bb : dRc = +0.000186 +- 0.000085 dRb = -0.000519 +- 0.000236 Rb - correction: Next to gluon splitting we have to apply the following corrections: - Z/gamma interference: +0.00030 - Event selection : -0.00150 -------------------------------- -0.00120 We want a common Rb of 0.2167 Rb measured (using gall and Fit4se2) 96: raw 0.214034, corrected 0.212834 => dRb = 0.003866 9798: raw 0.217508, corrected 0.216308 => dRb = 0.000392 correction = dRb * sigma(Rc) / sigma(Rb) * Corr Coeff error = 0.001 * sigma(Rc) / sigma(Rb) * Corr Coeff 9798: dRc = 0.000392 * 0.003282 / 0.001184 * -0.191 = -0.000208 +- 0.000529 96 dRc = 0.003866 * 0.009069 / 0.003185 * -0.243 = -0.002675 +- 0.000692 Tkeff and Resolution error: We can do both tall - teff and tres - raw for resolution etc. To be save, take the biggest of the two and take 50% as the error. 9798: res: -0.000172 and -0.000270, error 0.000135 eff: -0.000067 and +0.000031, error 0.000034 96: res: error: 0.5 * 0.001754 = 0.000872 tkeff: take 9798 value: 0.000034 table: ------ 96 9798 measured tall 0.174891 +- 0.009338 0.179475 +- 0.003282 gcc -.005334 -.004154 gbb +.000215 +.000186 Rb = 21.67% -.002675 -.000208 event bias +.000400 -.000250 Z/gamma -.000300 -.000300 --------------------------------------------------------------------- 0.16720 +- 0.00934 0.17475 +- 0.00328 (my old ntuple had 0.16713 +- 0.00951 and 0.17367 +- 0.00327, most of the difference comes from tracking corrections) errors: 96 9798 gcc .00126 .00098 gbb .00010 .00009 tkeff .00003 .00003 smear .00087 .00014 Rb .00069 .00053 --- Average Result --- Nmeas, Nuncorr 2 3 Average Measurement values 0.17397 0.16720 0.17475 Statistical correlation Matrix 1.00000 0.00000 0.00000 1.00000 Data Statistics 0.00310 0.00934 0.00328 v MC statistics 0.00095 0.00319 0.00099 v Event selection bias 0.00023 0.00040 0.00025 i Tracking resolution 0.00022 0.00087 0.00014 d Tracking efficiency 0.00003 0.00003 0.00003 d uds K0 -0.00001 -0.00001 -0.00001 v uds Lambda -0.00001 -0.00001 -0.00001 v charm fragmentation 0.00018 0.00018 0.00018 v cc->D+ production -0.00006 -0.00006 -0.00006 v cc->Ds production -0.00015 -0.00015 -0.00015 v cc->Lc production 0.00022 0.00022 0.00022 v D0 multiplicities 0.00009 0.00009 0.00009 c D+ multiplicities 0.00013 0.00013 0.00013 c Ds multiplicities 0.00058 0.00058 0.00058 c D0 lifetime 0.00008 0.00008 0.00008 v D+ lifetime 0.00005 0.00005 0.00005 v Ds lifetime -0.00003 -0.00003 -0.00003 v Lc lifetime -0.00091 -0.00091 -0.00091 v D->K0 0.00056 0.00056 0.00056 v D->no pi0 0.00012 0.00012 0.00012 v b fragmentation 0.00026 0.00026 0.00026 v b lifetimes 0.00005 0.00005 0.00005 v B multiplicities 0.00003 0.00003 0.00003 v B Baryon -0.00002 -0.00002 -0.00002 i hard gluon 0.00026 0.00026 0.00026 i g->cc -0.00101 -0.00126 -0.00098 v g->bb 0.00009 0.00010 0.00009 v ** Total error 0.00366 0.01008 0.00382 ** Summed error check 0.00366 0.00380 0.00195 Weight fraction 1.00000 0.10386 0.89613 Combined result = 0.17397+- 0.00310+- 0.00195 Rb = 0.2167 +- 0.0010 -0.00055 -0.00069 -0.00053 Detector effect: Tracking resolution 0.00022 Tracking efficiency 0.00003 ------- 0.00022 Internal: Event selection bias 0.00023 B Baryon 0.00002 hard gluon 0.00026 ------- 0.00035