Isospin constraints from/on B->pipi

Abstract

The Standard Model constraints on alpha which can be derived from the B-> pipi decays are revisited in some depth. As experimental inputs, the three branching ratios, the two CP parameters Spipi and Cpipi and/or the value of alpha as determined by the global CKM fit are used. The constraints discussed here are model independent in the sense that they rely only on Isospin symmetry, following the Gronau-London proposal. A new bound on B00 and the function C00(B00) are introduced. The Grossman-Quinn bound is rediscussed. A close form expression is given for alpha as a function of the measurements. Various scenarii for the future of the isospin analysis are explored. To probe the Standard Model the (B00,C00) plane is introduced.

25 pages, 8 figures, Submitted to Eur. Phys. J. C

References in corpus (10)

• sPlot: a statistical tool to unfold data distributions
• Measurements of Branching Fractions and CP-violating Asymmetries in B0->pi+ pi-, K+ pi-, K+ K- Decays
• Measurements of Charmless Hadronic Two-Body B Meson Decays and the Ratio cal B(B--> DK)/ cal B(B--> Dπ)
• Taming the Penguin in the B0(t) -> Pi+Pi- CP-asymmetry: Observables and Minimal Theoretical Input
• Bounding the effect of penguin diagrams in $a_{CP}(B^0\to {\pi }^{+}{\pi }^{-})$
• Observation of Large CP Violation and Evidence for Direct CP Violation in B0-->pi+pi- Decays
• Improving Bounds on Penguin Pollution in B -> pi pi
• Improved Measurements of Branching Fractions for B->Kpi, pipi and KK Decays
• Observation of the Decay $B^0\to {\pi }^0{\pi }^0$
• Observation of the Decay $B^{\pm }\to {\pi }^{\pm }{\pi }^0$, Study of $B^{\pm }\to K^{\pm }{\pi }^0$, and Search for $B^0\to {\pi }^0{\pi }^0$

Cited by in corpus (4)

• CP Violation and the CKM Matrix: Assessing the Impact of the Asymmetric B Factories
• The 2004 UTfit Collaboration Report on the Status of the Unitarity Triangle in the Standard Model
• Isospin analysis of charmless B-meson decays
• Resolving the ${\varphi }_2$ ($\alpha$) ambiguity in $B\to \rho \rho$