Speaker
Description
The non-leptonic $B$-meson decays serve as excellent ground to test the Standard Model for example, how well are flavor symmetries such as isospin and flavor SU(3) realised in data, and their study is also important for new physics searches. As it has been observed, the analysis of $B \to PP$ decays where $B = \{B^0, B^+, B_s^0\}$ and $P = \{ \pi, K \}$ under the flavor SU(3) symmetry (SU(3)$_F$) exhibits disagreement with the SU(3)$_F$ limit of the standard model at the level of 3.6 $\sigma$. The individual fits to (strangeness conserving) $\Delta S$ = 0 and (strangeness changing) $\Delta S$ = 1 decay modes are good, whereas the combined fit assuming same theoretical parameters for $\Delta S$ = 0 and $\Delta S$ = 1 modes is poor. This suggests that SU(3)$_F$ symmetry is broken in the $B \to PP$ decays. An obvious extension is to test the SU(3)$_F$ breaking elsewhere, for eg. in the $B \to VV$ (V = {$\rho,K^*$}) decays. Also, there has been a long standing hadronic anomaly in the $B \to K \pi$ sector known as the $B \to K \pi$ puzzle where the measurements of the observables in these decays show
inconsistency with one another at $\sim$ 3 $\sigma$. In this talk, I will discuss about the theoretical formalism for studying the $B \to VV$ modes under $\text{SU}(3)_F$ $\times$ $\text{SU}(2)_{\text{spin}}$, with a particular focus on the $B \to \rho K^*$ sector for any similar puzzle.
