Rare B meson decays - mathieu trocmé

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III- Analysis Method 43 Optimisation BR Calculation b Even-numbered events s Even-numbered events n Odd-numbered events tot _ GSB n Every event tot _ SR Table 3: Counting processes used during the optimisation and the BR calculation phases. This is done to avoid any fluctuation to be underestimated. Consequently, the final branching ratio is given by: BR = N real sig × N 1 ε MC, corr real 0 B real where = n − [ R × ( 2 × n ) ] Nsig tot _ SR tot _ GSB
IV- Results 44 IV- RESULTS IV.1- Final selection criteria after optimisation: As previously said, the optimisation has been performed using the branching ratio found by N. Chevalier [18], namely: BR 0 * + − 0 * − + −6 { B → K π } + BR{ B → K π } = ( 16. 1± 8. 5 ± 3. 0) × 10 So, the branching ratio BR’ used in the optimisation procedure is: BR ' 0 * + − 0 * − + 1 −6 { B → K π } + BR{ B → K } = × ( 16. 1± 8. 5 ± 3. 0) × 10 = BR π + K π This leads to the following set of cuts: 0 S 0 S − K π Selection Criteria Cut Value cos (θthrust) cos( θ t ) < 0. 65 Cornelius Fisher Discriminant fisherCrn < −0. 4 * + 0 + * + 0 − K → K Sπ / K → K Sπ resonance mass * 0 = 0. 896 ± 0. 075 * + 0 + − − K →K Sπ / K →K Sπ 3 m GeV/c 2 * + 0 + * + 0 − K → K Sπ / K → K Sπ resonance cos (θhelicity) cos( θ h ) < 0. 45 0 − + 0 + − KS → π π / K S → π π resonance mass 0 = 0. 498 ± 0. 010 0 + − − + K S →π π / K S →π π m GeV/c 2 0 − + 0 + − KS → π π / K S → π π resonance ‘decay length’ > 4. 0 σ cτ Table 4: Final optimised selection criteria. cτ
Page 1 and 2: UNIVERSITY OF BRISTOL DEPARTMENT OF
Page 3 and 4: Acknowledgements 2 ACKNOWLEDGEMENTS
Page 5 and 6: Table of contents 4 III.3.5- Backgr
Page 7 and 8: I- Introduction 6 A way to quantify
Page 9 and 10: II- Physical Background 8 These thr
Page 11 and 12: II- Physical Background 10 s b gWVu
Page 13 and 14: II- Physical Background 12 II.3- B
Page 15 and 16: II- Physical Background 14 To creat
Page 17 and 18: II- Physical Background 16 As a res
Page 19 and 20: III- Analysis Method 18 III- ANALYS
Page 21 and 22: III- Analysis Method 20 Number of e
Page 23 and 24: III- Analysis Method 22 III.2.2.3-
Page 29 and 30: III- Analysis Method 28 0 B ? 0 B ?
Page 31 and 32: III- Analysis Method 30 III.3.2- MC
Page 33 and 34: III- Analysis Method 32 With, MC Ns
Page 35 and 36: III- Analysis Method 34 By integrat
Page 37 and 38: III- Analysis Method 36 III.3.4- Er
Page 39 and 40: III- Analysis Method 38 All the sel
Page 41 and 42: III- Analysis Method 40 For example
Page 43: III- Analysis Method 42 III.5- Over
Page 47 and 48: IV- Results 46 IV.2- MC Efficiency
Page 49 and 50: IV- Results 48 Another common notat
Page 51 and 52: V- Discussion 50 V- DISCUSSION As d
Page 53 and 54: V- Discussion 52 Concerning the opt
Page 55 and 56: Appendix 54 APPENDIX This appendix
Page 57 and 58: References 55 [1] [2] [3] [4] [5] [

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