The CP violating phase $\gamma$ from global fit of rare charmless hadronic B decays

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 $\sin 2\beta$ 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 $B\to \pi \pi$ and $B\to K\pi$. We also discuss SU(3) breaking effects from model estimate. We find that present data on $B\to \pi \pi ,K\pi$ 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 $|{\epsilon }_K|$, $\Delta m_{B_{d,s}}$, $|V_{ub}/V_{cb}|$, $\sin 2\beta$ 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.

arXiv commentRevised verion with the new experimental data from Belle and Babar included in the analysis to obtain the global fit for the CP violating phase gamma. RevTex, 32 pages and 8 figures

References in corpus (43)

• Weak Decays Beyond Leading Logarithms
• Fat penguins and imaginary penguins in perturbative QCD
• Experimental Tests of Factorization in Charmless Non-Leptonic Two-Body B Decays
• The $\Delta S=1$ Effective Hamiltonian Including Next-to-Leading Order QCD and QED Corrections
• Weak form factors for heavy meson decays: an update
• Decays of $B$ Mesons to Two Light Pseudoscalars
• Enhancement of the $K_L$ -- $K_S$ Mass Difference by Short Distance QCD Corrections Beyond Leading Logarithms
• ELECTROWEAK PENGUINS AND TWO-BODY B DECAYS
• Charmless Hadronic Two-body Decays of B_u and B_d Mesons
• Determination of the Weak Phase gamma from Rate Measurements in B^+- -> pi K, pi pi Decays
• Broken SU(3) Symmetry in Two-Body B Decays
• New Bound on gamma from B^+- -> pi K Decays
• Constraining the CKM angle $\gamma$ and penguin contributions through combined $B\to \pi K$ branching ratios
• Measurement of CP-violating asymmetries in B0 decays to CP eigenstates
• Isospin Structure of Penguins And Their Consequences in $B$ Physics
• Model-independent electroweak penguins in B decays to two pseudoscalars
• Indirect CP-Violation in the Neutral Kaon System Beyond Leading Logarithms
• CP-Violating Asymmetries in Charmless Non-Leptonic Decays $B\to PP,PV,VV$ in the Factorization Approach
• A Measurement of $\sin 2\beta$ from $B\to J/\psi K_S^0$ with the CDF detector
• Hadronic Penguin B Decays In The Standard And The Two-Higgs-Doublet Models
• Measurement of the CP Violation Parameter sin(2phi_1) in B^0_d Meson Decays
• Profiles of the Unitarity Triangle and CP-Violating Phases in the Standard Model and Supersymmetric Theories
• CP asymmetry Relations Between ${\bar{B}}^0\to \pi \pi$ and ${\bar{B}}^0\to \pi K$ Rates
• Measurement of Charge Asymmetries in Charmless Hadronic in B Meson Decays
• Weak Phase $\gamma$ From Ratio of $B\to K\pi$ Rates
• B Decays Involving $\eta$ and ${\eta }^{\prime }$ in the Light of the $B\to K{\eta }^{\prime }$ Process
• Constraints on the CKM Angle $\gamma$ and Strong Phases from $B\to \pi K$ Decays
• The Role of $B_s\to K\pi$ in Determining the Weak Phase $\gamma$
• Quasi-Inclusive and Exclusive decays of $B$ to ${\eta }^{\prime }$
• Electroweak Penguins, Final State Interaction Phases and CP Violatioin in $B\to K\pi$ Decays
• Unique Signature of Electroweak Penguin In Pure Hadronic $B$ Decays
• Study of the CP asymmetry of B0 -> J/psi K0S decays in ALEPH
• Implications of the Top Quark Mass Measurement for the CKM Parameters, $x_s$ and CP Asymmetries
• New Information on B Decays to Charmless VP Final States
• Indirect Measurement of the Vertex and Angles of the Unitarity Triangle
• A method for determining CP violating phase $\gamma$
• SU(3) Flavor Symmetry and CP Violating Rate Differences for Charmless $B\to PV$ Decays
• Status of Heavy Quark Physics on the Lattice
• Non-decoupling Effects of Heavy Particles in Triple Gauge Boson Vertices
• The interplay between Weak and Strong Phases and Direct CP Violation from the Charmless B-meson Decays
• Weak Phase $\gamma$ and Strong Phase $\delta$ from CP Averaged $B\to \pi \pi$ and $\pi K$ Decays
• Electroweak Model Independent Tests for SU(3) Symmetry in Hadronic B Decays
• Results for Quenched $B_K$ from JLQCD

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