Abstract
In this study, we intend to estimate the statistical significance of B+→µ+ν when various amounts of Belle II data are available in the future, assuming that the Standard Model estimation of the branching fraction of B+→µ+ν is correct. The Monte-Carlo method is applied to generate a large amount of data samples to simulate the physics events produced by e+e− collision on the center-of-mass energy of 10.58 GeV in the SuperKEKB accelerator. These physics events include the e+e−→qq, the e+e−→τ+τ−, and the e+e−→Υ(4S)→B0B0bar/B+B− processes. The Belle II detector responses to these physics events are also simulated. In this study, we use multivariate analysis to distinguish the B+→μ+ν events from the background events. We establish probability density functions for different physics processes and generate Asimov data sets. We then use the profile likelihood function of the Asimov data sets to estimate the statistical significance of B+→μ+ν when different amounts of Belle II data are available. According to the estimation, we will need to collect more than 7ab−1 of data in order to surpass the significance of 5σ in order to claim the discovery of B+→μ+ν
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