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We systematically analyse the gluonic penguin-induced charmless decays $B \raK_X\phi$($K_X$ denotes the meson state $s\bar q \;(q=u\ {\rm or}\ d)$ ), in thestandard model and the two-Higgs-doublet model. These processes, being inducedat one-loop level, are of great importance in measuring the virtual top quarkeffect in the standard model, and also in searching for the non-standardsignals in the low energy region. It is shown that the QCD effect is alsosignificant in these processes, as in the weak radiative processes $B \ra X_s\gamma$. We also show that the charged Higgs contribution can not providesizable enhancements for the decays $B \ra K_X\phi$, in contrast to the decays$B \ra K_X\gamma$. It is also found that processes such as $B \raK_1(1400)\phi$ and $B \ra K(1460)\phi$ have large branching fractions among $B\ra K_X\phi$ decays.Comment: 18pages, Latex. Paper (Hayashi, Takemi et al. AUE-02-93) is replaced  with reviced version Jan 1994 and aloso the title is change

physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields

Penguin-diagram-induced<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>B</mml:mi><mml:mo>→</mml:mo><mml:mrow><mml:msub><mml:mrow><mml:mi>K</mml:mi></mml:mrow><mml:mrow><mml:mi>X</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mi>φ</mml:mi></mml:math>decays in the standard model and in the two-Higgs-doublet model

Penguin-diagram-inducedB→KXφdecays in the standard model and in the two-Higgs-doublet model