Penguin-Diagram Induced $B\to K_X\varphi$ Decays in the Standard Model and in the Two-Higgs-Doublet Model

Abstract

We systematically analyse the gluonic penguin-induced charmless decays $B\text{ra}{K}_X\varphi$($K_X$ denotes the meson state $s\bar{q}(q=u\mathrm{or}d)$ ), in the standard model and the two-Higgs-doublet model. These processes, being induced at one-loop level, are of great importance in measuring the virtual top quark effect in the standard model, and also in searching for the non-standard signals in the low energy region. It is shown that the QCD effect is also significant in these processes, as in the weak radiative processes $B\text{ra}{X}_s\gamma$. We also show that the charged Higgs contribution can not provide sizable enhancements for the decays $B\text{ra}{K}_X\varphi$, in contrast to the decays $B\text{ra}{K}_X\gamma$. It is also found that processes such as $B\text{ra}{K}_1(1400)\varphi$ and $B\text{ra}K(1460)\varphi$ have large branching fractions among $B\text{ra}{K}_X\varphi$ decays.

Comments: 18pages, Latex. Paper (Hayashi, Takemi et al. AUE-02-93) is replaced with reviced version Jan 1994 and aloso the title is changed