Obtaining CKM Phase Information from B Penguin Decays

Abstract

We discuss a method for extracting CP phases from pairs of B decays which are related by flavor SU(3). One decay (B0 -> M1 M2) receives a significant bbar -> dbar penguin contribution. The second (B' -> M1' M2') has a significant bbar -> sbar penguin contribution, but is dominated by a single amplitude. CP phase information is obtained using the fact that the B' -> M1' M2' amplitude is related by SU(3) to a piece of the B0 -> M1 M2 amplitude. The leading-order SU(3)-breaking effect (~25%) responsible for the main theoretical error can be removed. For some decay pairs, it can be written in terms of known decay constants. In other cases, it involves a ratio of form factors. However, this form-factor ratio can either be measured experimentally, or eliminated by considering a double ratio of amplitudes. In all cases, one is left only with a second-order effect, ~5%. We find twelve pairs of B decays to which this method can be applied. Depending on the decay pair, we estimate the total theoretical error in relating the B' -> M1' M2' and B0 -> M1 M2 amplitudes to be between 5% and 15%. The most promising decay pairs are Bd -> pi+ pi- and Bu+ -> K0 pi+, and Bd -> D+ D- and Bd -> Ds+ D- or Bu+ -> Ds+ D0bar.

38 pages, JHEP format, no figures. Comments added to text regarding most promising decay pairs; references added; conclusions unchanged

References in corpus (8)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• QCD factorization for B->PP and B->PV decays
• Anatomy of Prominent B and K Decays and Signatures of CP-Violating New Physics in the Electroweak Penguin Sector
• Charmless $B\to PP$ decays using flavor SU(3) symmetry
• Observation of Large CP Violation and Evidence for Direct CP Violation in B0-->pi+pi- Decays
• Improved Measurements of Branching Fractions for B->Kpi, pipi and KK Decays
• Extracting γfrom Bd(t) -> D(*)+ D(*)- and Bd -> Ds(*)+ D(*)- Decays
• Measurements of Branching Fractions and CP-Violating Asymmetries in B Meson Decays to Charmless Two-Body States Containing a K0

Cited by in corpus (6)

• Measuring New-Physics Parameters in B Penguin Decays
• Methods for Measuring New-Physics Parameters in B Decays
• Testing Explanations of the $B\to \varphi K^{\ast }$ Polarization Puzzle
• The 2-3 symmetry: Flavour Changing $b$, $\tau$ Decays and Neutrino Mixing
• Extracting alpha from B0(d) --> K0 anti-K0 Decays
• Getting SM and New Physics CP phases from $B$ Decays