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The CP violating phase $gamma$ from global fit of rare charmless hadronic B decays | | X.-G. He
; Y.-K. Hsiao
; J.-Q. Shi
; Y.-L. Wu
; Y.-F. Zhou
; | | Date: |
28 Nov 2000 | | Journal: | Phys.Rev. D64 (2001) 034002 | | Subject: | hep-ph hep-ex | | Affiliation: | NTU), Y.-K. Hsiao (NTU), J.-Q. Shi (NTU), Y.-L. Wu (ITP) and Y.-F. Zhou (ITP | | Abstract: | We study constraints on the CP violating phase $gamma$ in the Kobayashi-Maskawa model using available experimental data. We first follow the conventional method to up date the constraint on $gamma$ by performing a $chi^2$ analysis using data from $|epsilon_K|$, $Delta m_{B_{d,s}}$ and $|V_{ub}/V_{cb}|$. We also include the recent information on $sin2eta$ in the analysis. We obtain the best fit for $gamma$ to be $66^circ$ and the 95% C.L. allowed range to be $42^circ sim 87^circ$. We then develop a method to carry out a $chi^2$ analysis based on SU(3) symmetry using data from $B o pi pi$ and $B o K pi$. We also discuss SU(3) breaking effects from model estimate. We find that present data on $B o pipi, K pi$ can also give some constraint on $gamma$ although weaker than the earlier method limited by the present experimental errors. Future improved data will provide more stringent constraint. Finally we perform a combined fit using data from $|epsilon_K|$, $Delta m_{B_{d,s}}$, $|V_{ub}/V_{cb}|$, $sin2eta$ and rare charmless hadronic B decays. The combined analysis gives $gamma=67^circ$ for the best fit value and $43^circ sim 87^circ$ as the 95% C.L. allowed range. Several comments on other methods to determine $gamma$ based on SU(3) symmetry are also provided. | | Source: | arXiv, hep-ph/0011337 | | Services: | Forum | Review | PDF | Favorites | |
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