First observation of the Charmless Decay B to K pi0pi0 and Study of its Dalitz Plot Structure Page: 7 of 201
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5 The Fitting Model 72
5.1 Fitting Regions ...... .... .. ................ 73
5.1.1 AE signal region optimisation . ................ 75
5.1.2 Definitions of fitting and sideband regions ........... 75
5.2 Signal and background PDFs ... ................. 78
5.2.1 Signal PDF ..... ... .. ................ 78
5.2.2 Continuum background PDFs ................. 84
5.2.3 BB Background PDFs ... .................. 87
5.3 Expected yields ...... .... .. ................ 89
5.3.1 Expected signal yield ... .. ................ 89
5.3.2 Background yields .... ... . ............... 90
5.4 Determination of SCF fraction . ... . ................ 91
5.5 Determining the resonant branching ratios ............... 96
6 Results: Branching Fractions 101
6.1 Toy tests for inclusive branching fraction. .............. .. 102
6.1.1 Pure toys...... ... . ................. .. 102
6.1.2 Embedded signal toys. .. ................ .. 103
6.1.3 Embedded signal and BB toys................ . ..106
6.2 Testing the fit to data. .... ... . ............... .. 106
6.3 Inclusive branching fraction of B+ - K+r......... ..107
6.3.1 Fit results. .... ... . .................. .. 109
6.3.2 The signal Dalitz plot. .. ................ .. 111iv
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Puccio, Eugenia Maria Teresa Irene & /SLAC, /Warwick U. First observation of the Charmless Decay B to K pi0pi0 and Study of its Dalitz Plot Structure, thesis or dissertation, March 21, 2012; United States. (https://digital.library.unt.edu/ark:/67531/metadc830373/m1/7/?q=%22Irene%22: accessed June 8, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.