Time-dependent angular analysis of the decays $B_{d}^{0}\to J/\psi K^{*0}$ and $B_{s}^{0}\to J/\psi \phi$

TL;DR

This paper performs a time-dependent angular analysis of specific B meson decays to test flavor symmetry assumptions and measure lifetime ratios, providing insights into decay dynamics and symmetry properties.

Contribution

It introduces a flavor-untagged angular analysis in the transversity basis for $B_{d}^{0}$ and $B_{s}^{0}$ decays, enabling tests of SU(3) symmetry and decay factorization.

Findings

Extracted lifetime ratio $ au_{s}/ au_{d}$

Tested flavor SU(3) symmetry in B decays

Assessed factorization hypothesis for $B_{d}^{0} o J/ heta K^{*0}$

Abstract

In this paper we present the description of the flavor-untagged decays $B_{d}^{0}\to J/\psi K^{*0}$ and $B_{s}^{0}\to J/\psi \phi$ in the transversity basis. The study of these $B$ mesons in that basis makes it possible to extract information about flavor SU(3) (or U(3)) symmetry and to verify if the factorization assumption is feasible for the decay $B_{d}^{0}\to J/\psi K^{*0}$. The lifetime ratio $\tau_{s}/\tau_{d}$ is also extracted with this description.