More visualisation of decay-time-dependent asymmetries in multibody B-meson decays

TL;DR

This paper introduces a new weighting method to visualize CP-conserving oscillations in multibody B-meson decays, complementing existing techniques for CP-violation effects, aiding in calibration and analysis.

Contribution

A novel weighting function is proposed to visualize CP-conserving B-meson oscillations, enhancing analysis tools for flavor tagging calibration.

Findings

Demonstrated application to B_s^0 decays

Improved visualization of oscillation effects

Potential for better calibration of tagging algorithms

Abstract

Methods have been proposed recently to weight data in order to allow visualisation of CP-violation effects in transitions of neutral B mesons to multibody final states that are not CP-eigenstates. These are useful since integration of the unweighted data over the phase space would otherwise wash out the effects of interest. A similar method, elaborated upon here, with a different weighting function can also be used to visualise CP-conserving $B_{(s)}^0$--$\overline{B}{}_{(s)}^0$ oscillations, rather than the CP-violating asymmetries. Together with the other weighting functions, this new method could be useful, for example, to demonstrate the accuracy of the calibration of the flavour tagging algorithms that are crucial for analyses such as the measurement of the CP-violating phase in $B_s^0 \to J/\!\psi\phi$ decays. Their application to the formalism in common use for such decays is explicitly demonstrated.