Revisiting $B_s\to PP$ and $PV$ Decays with Contributions from ${\varphi }_{B2}$ with perturbativen QCD approach

Abstract

The $B_s\to PP$ and $PV$ decay modes are revisited at leading order within the perturbative QCD approach, incorporating the $B_s$ mesonic wave function (WF) ${\varphi }_{B2}$. Here, $P$ represents the pseudoscalar mesons $\pi$ and $K$, while $V$ denotes the ground-state vector mesons. The investigation incorporates two key refinements: the contribution of the sub-leading twist WF ${\varphi }_{B2}$ of the $B_s$ meson and the effects of higher-order terms in the distribution amplitudes (DAs) of the final-state mesons. Employing the minimum ${\chi }^2$ method, we optimize the shape parameter ${\omega }_{B_s}$ of the $B_s$ meson WF and systematically calculate the branching ratios and $CP$ violation parameters for these decay modes. Our results demonstrate that the inclusion of ${\varphi }_{B2}$ significantly impacts both the branching ratios and $CP$ asymmetries, offer an improved agreement with existing experimental data for specific channels. This underscores the necessity of accounting for ${\varphi }_{B2}$ in theoretical studies of $B_s$ weak decays. While the higher-order corrections in the final-state meson DAs yield comparatively smaller effects, they still enhance the theoretical predictions. These findings highlight the importance of refining both wave function modeling and higher-order contributions in pQCD calculations. Future high-precision experimental measurements will further test these predictions, while continued theoretical efforts are essential to explore additional interaction mechanisms and systematic uncertainties. The interplay between experimental advancements and theoretical improvements remains critical for a deeper understanding of $B_s$ meson decay dynamics.

34 pages,8 Tables,16 figures

References in corpus (14)

• Charmless non-leptonic B_s decays to PP, PV and VV final states in the pQCD approach
• CEPC Technical Design Report -- Accelerator (v2)
• Updating B --> PP, VP decays in the framework of flavor symmetry
• Measurements of Direct CP Violating Asymmetries in Charmless Decays of Strange Bottom Mesons and Bottom Baryons
• Measurements of Direct CP-Violating Asymmetries in Charmless Decays of Bottom Baryons
• A Combined Fit on the Annihilation Corrections in $B_{u,d,s}$ $\to$ $PP$ Decays Within QCDF
• Observation of the annihilation decay mode $B^0\to K^{+}{K}^{-}$
• Observation of $CP$ violation in two-body $B_{(\mathrm{s})}^0$-meson decays to charged pions and kaons
• Uncertainty in the leading order PQCD calculations of $B$ meson decays
• Amplitude analysis of $B_s^0\to K_{\text{S}}^0{K}^{\pm }{\pi }^{\mp }$ decays
• Search for B_{s}^{0}->hh Decays at the ${\rm Y}(5S)$ Resonance
• Reinvestigating the $B$ $\to$ $PP$ decays by including the contributions from ${\varphi }_{B2}$
• Higher twist corrections to doubly-charmed baryonic $B$ decays
• Reinvestigating the $B$ $\to$ $PV$ decays by including the contributions from ${\varphi }_{B2}$ with the perturbative QCD approach

Cited by in corpus (2)

• Study of the two-body nonleptonic $B_c(2S)$ weak decays with the QCD factorization approach
• The virtual contributions from $K^{\ast }$ in the $B\to K^{\ast }\pi h$ and $B\to K\rho h$ decays