Extracting the CKM phase angle γ(\equiv ϕ_3) from isospin analysis in B\to K πdecays

Abstract

We propose a new method to extract the CKM phase angle γ(\equiv ϕ_3) from the isospin analysis in B \to K πdecays. Unlike previously proposed methods, we do not employ flavor SU(3) symmetry, so that this method is free from the hadronic uncertainty coming from the SU(3) breaking effect. Neither we adopt any Dalitz-plot analysis, which may involve multiple strong phases and large final state interactions. After including small CP violating terms in B^+ \to K^0 π^+ and color-suppressed electroweak penguin contribution in B^0 \to K^+ π^-, whose values are estimated from the QCD factorization, we obtain γ= ({70}^{+5 +1 +2}_{-14 -1 -3})^\circ \textrm{or} {106^\circ}< γ< {180^\circ}. The first error is due to the experimental errors mainly caused by mixing-induced CP asymmetry S_{{K_s} π^0}. The second and third errors come from the theoretical uncertainty for two above-mentioned small contributions, respectively. Since we utilize only the isospin relations in B \to K πdecays, this method will work well, regardless of possible new physics effects unless the isospin relations do not hold.

arXiv commentError analysis has been improved

References in corpus (28)

• QCD Factorization in B -> pi K, pi pi Decays and Extraction of Wolfenstein Parameters
• Enhanced CP Violation with $B\to K{D}^0({\overline{D}}^0)$ Modes and Extraction of the CKM Angle gamma
• Determining $\gamma$ using $B^{\pm }\to D{K}^{\pm }$ with multibody D decays
• Decays of $B$ Mesons to Two Light Pseudoscalars
• Improved Methods for Observing CP Violation in B+/- --> K+/- D0 and Measuring the CKM Phase gamma
• Anatomy of Prominent B and K Decays and Signatures of CP-Violating New Physics in the Electroweak Penguin Sector
• ELECTROWEAK PENGUINS AND TWO-BODY B DECAYS
• Weak Coupling Phase from Decays of Charged B Mesons to $\pi K$ and $\pi \pi$
• Determination of the Weak Phase gamma from Rate Measurements in B^+- -> pi K, pi pi Decays
• Resolution to the B -> pi K puzzle
• Constraining the CKM angle $\gamma$ and penguin contributions through combined $B\to \pi K$ branching ratios
• Isospin Structure of Penguins And Their Consequences in $B$ Physics
• The Possibility of Large Direct CP Violation in B to K pi-Like Modes Due to Long Distance Rescattering Effects and Implications for the Angle gamma
• Strategies for Fixing the CKM-angle $\gamma$ and Obtaining Experimental Insights into the World of Electroweak Penguins
• Measurement of phi_3 with Dalitz plot analysis of B+ -> D(*)K(*)+ decay
• Weak Phase $\gamma$ From Ratio of $B\to K\pi$ Rates
• Constraints on the CKM Angle $\gamma$ and Strong Phases from $B\to \pi K$ Decays
• Limitations in Measuring the Angle $\beta$ by Using $SU(3)$ Relations for $B$-Meson Decay-Amplitudes
• Measuring Strong and Weak Phases in Time-Independent B Decays
• Implications of CP Asymmetry Limits for $B\to K\pi$ and $B\to \pi \pi$
• Reparametrization invariance of B decay amplitudes and implications for new physics searches in B decays
• Analytic Resolution of Puzzle in $B\to K\pi$ decays
• Towards the Control over Electroweak Penguins in Nonleptonic B-Decays
• Using B_s^0 Decays to Determine the CP Angles αand γ
• Measurement of CP Observables for the Decays B+/- --> D0_CP K*+/-
• Measurements of New Physics in B -> pi pi Decays
• Search for B+/- --> [K-/+ pi+/-]_D K+/- and upper limit on the b --> u amplitude in B+/- --> D K+/-
• Patterns of New Physics in B Decays