Extracting γfrom Bd(t) -> D(*)+ D(*)- and Bd -> Ds(*)+ D(*)- Decays

Abstract

We show that the CP phase γcan be obtained from measurements of Bd(t) -> D(*)+ D(*)- and Bd -> Ds(*)+ D(*)-. These decays are related by flavor SU(3) in the limit where spectator-quark contributions are small. If the pseudoscalar-pseudoscalar decays Bd(t) -> D+ D- and Bd -> Ds+ D- are used, the leading-order SU(3)-breaking effect is f_Ds/f_D. The dependence on decay constants can be removed by using a double ratio involving two helicity states of the vector-vector decays Bd(t) -> D*+ D*- and Bd -> Ds*+ D*-. In this case the theoretical error arising from all sources is in the range 5-10%.

11 pages, latex, no figures. Added a paragraph and 2 references comparing SU(3) breaking in D and B decays. Conclusions and method unchanged

References in corpus (2)

• Measurement of the Branching Fraction and CP-violating Asymmetries in Neutral B Decays to D*+-D-+
• Measurement of Time-Dependent CP Asymmetries and the CP-Odd Fraction in the Decay B0 --> D*+D*-

Cited by in corpus (14)

• Polarizations in B -> VV decays
• D-meson decay constants and a check of factorization in non-leptonic B-decays
• Methods for Measuring New-Physics Parameters in B Decays
• Exploring CP Violation and Penguin Effects through $B_d^0\to D^{+}{D}^{-}$ and $B_s^0\to D_s^{+}{D}_s^{-}$
• Standard Model Predictions and New Physics Sensitivity in B->DD Decays
• The 2-3 symmetry: Flavour Changing $b$, $\tau$ Decays and Neutrino Mixing
• First observations of ${\bar{B}}_s^0\to D^{+}{D}^{-}$, $D_s^{+}{D}^{-}$ and $D^0{\bar{D}}^0$ decays
• Measurement of Branching Fractions and CP-Violating Charge Asymmetries for B Meson Decays to D(*)D(*), and Implications for the CKM Angle gamma
• Small amplitude effects in $B^0\to D^{+}{D}^{-}$ and related decays
• Obtaining CKM Phase Information from B Penguin Decays
• A Measurement of gamma from the Decays Bd(t) -> D(*)+ D(*)- and Bd -> Ds(*)+ D(*)-
• A model independent method for quantitative estimation of $SU(3)$ flavor symmetry breaking using Dalitz plot
• CP Violation in the B System: Measuring New-Physics Parameters
• Prediction of the $CP$ asymmetry $C_{00}$ in $B^0\to D^0\overline{D^0}$ decay