Penguin Effects on K Pi and PiPi Decays of the B Meson.pdf

AUE-05-93 EHU-06-93 KGU-03-93 October 1993 Penguin Effects on Kπ and ππ Decays of the B Meson 3 9 9 1 Takemi HAYASHI(a), Masahisa MATSUDA(b) 1 and Morimitsu TANIMOTO(c) v o N (a) Kogakkan University, Ise, Mie 516, JAPAN 1 1 (b) Department of Physics and Astronomy, Aichi University of Education v 0 Kariya, Aichi 448, JAPAN 8 3 (c) Science Education Laboratory, Ehime University 0 1 3 Matsuyama, Ehime 790, JAPAN 9 / h p - p e ABSTRACT h : v i We give the detailed analyses for the gluonic-penguin effect on the Kπ and ππ de- X r cays of the B meson. In the standard model, it is shown that the ratio BR(B → a Kπ)/BR(B → ππ) takes the value 0.5 ∼ 3.0 with the strongly depending on the CP violating phase φ and the KM matrix element |Vub |. We obtain the constraint on the form factor by using the experimental branching ratio. It is also found that, in the two-Higgs-doublet model, the charged Higgs contribution which could enhance the B → X γ decay does not a sizable effect on our processes. The effect of the final state s interaction on these processes is also discussed. 1E-mail:masa@auephyas.aichi-edu.ac.jp Until now, the rare B decays have been intensively studied in the standpoint of the standard mod