School of Physics - Theses
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ItemMeasurement of the branching fractions of $\bar{B}^{0}\to D^{*+} h^{-}$ decays at the Belle experiment and development of a global particle vertex fitting algorithm for Belle~II( 2021)In this thesis high precision QCD-factorisation tests were performed. The branching ratios B(B → D π ) = (2.67±0.02±0.09)×10 and B(B → D K ) = (2.27±0.06±0.08)×10−4 were measured using (771.58±10.56)×106 B-meson pairs recorded by the Belle experiment. Both values are in tension with the theoretical expectation. The ratio of the branching ratio is measured in a way that allows for the cancellation of the systematic uncertainties arising from the D∗-meson reconstruction; the value of RK/π = B(B → D K )/B(B → D π ) = (8.41±0.24±0.13)×10 was found. Both B(B → D π ) and B(B → D K ) have shown deviations from the prediction, this suggests that the estimation of the Feynman diagrams contributing to the predictions may be inaccurate. The new measured branching ratios were used to perform a high precision QCD factorisation test by measuring ratios with respect to semi-leptonic branching ratios at fixed momentum transfers for different particle species. A deviation for the ratio Γ(B → D h )/dΓ(B → D l ν ̄)/dq of 16% from theoretical predictions was found, suggesting large non-factorisable contributions and/or new physics contributions. Furthermore, SU(3)-symmetry was tested by measuring ratios for pions and kaons of a21(K)/a21(π) = 1.05±0.05 as well as for different particle species. The found value is consistent with unity and therefore no evidence for SU(3)-symmetry breaking effects was found in this test to 5% precision. Thus, for RK/π one can rule out SU(3)- symmetry breaking effects as an explanation for the deviation. Finally, a new vertex fitting algorithm and its implementation for the Belle II software framework was reported. It can improve D∗-meson reconstruction, is com- putationally very efficient and is now the standard vertex fitting tool of the Belle II experiment.