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Combining Information from $B o pi pi $ and $B o pi
ho, pi omega $ Decays | | M. Sowa
; P. Zenczykowski
; | | Date: |
3 Feb 2005 | | Journal: | Phys.Rev. D71 (2005) 114017 | | Subject: | hep-ph | | Abstract: | We consider the $B o pi pi $ and $B o pi
ho, pi omega $ decays alongside each other, taking into account the contributions from all individual penguin amplitudes generated by the internal $t$, $c$, and $u$ quarks. We argue that three ratios of penguin amplitudes, each for a different internal quark, formed by dividing the individual penguin amplitude in $B o pi pi$ by the corresponding amplitude in $B o pi
ho, pi omega $, should be equal. We study the implications of the assumed existence of this connection between $B o pi pi$ and $B o pi
ho, pi omega $. First, accepting that in the $B o pi pi$ decays the ratio $C/T$ of the colour-suppressed factorization amplitude $C$ to the tree factorization amplitude $T$ is negligible, we determine the ratio of individual penguin amplitudes. Then, from the $B o pi
ho, pi omega$ data, we extract the effective (i.e. possibly containing some penguin terms) tree and the effective colour-suppressed amplitudes relevant for these processes, and the corresponding solutions for the factorization amplitudes. Finally, we argue that the $C/T$ ratio in $B o pi pi $ should be identical to its counterpart in $B o pi
ho, pi omega$ (relevant for pion emission from the decaying $b$ quark). This constraint permits the determination of $C/T$ and of other amplitude ratios directly from the data. Although the $|C/T|$ ratio extracted from the available data still carries a substantial error, it is consistent with the expected value of 0.25 - 0.5. | | Source: | arXiv, hep-ph/0502032 | | Services: | Forum | Review | PDF | Favorites | |
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