Discrete Ambiguities in the Measurement of the Weak Phase Gamma

Abstract

Several time-independent methods have been devised for measuring the phase gamma of the Cabibbo-Kobayashi-Maskawa unitarity triangle. It is shown that such measurements generally suffer from discrete ambiguity which is at least 8-fold, not 4-fold as commonly stated. This has serious experimental implications, which are explored in methods involving B->DK decays. The measurement sensitivity and new physics discovery potential are estimated using a full Monte Carlo detector simulation with realistic background estimates.

15 pages, 2 figures, fixed typo

References in corpus (5)

• Enhanced CP Violation with $B\to K{D}^0({\overline{D}}^0)$ Modes and Extraction of the CKM Angle gamma
• CP Asymmetries in B Decays with New Physics in Decay Amplitudes
• A Model Independent Construction of the Unitarity Triangle
• First Observation of the Cabibbo Suppressed Decay $B^{+}\to {\bar{D}}^0{K}^{+}$
• Final State Interaction Effects on $\gamma$ from $B\to DK$

Cited by in corpus (16)

• Determining $\gamma$ using $B^{\pm }\to D{K}^{\pm }$ with multibody D decays
• Improved Methods for Observing CP Violation in B+/- --> K+/- D0 and Measuring the CKM Phase gamma
• Measuring $\gamma$ in $B^{\pm }\to K^{\pm }(K{K}^{\ast }{)}_D$ decays
• The Effect of $D-\bar{D}$ Mixing on the Measurement of $\gamma$ in $B\to DK$ Decays
• Impact of D0-D0bar mixing on the experimental determination of gamma
• Measuring the Weak Phase gamma in Color Allowed B->DKpi Decays
• Using untagged B^0 -> D K_S to determine gamma
• Prospects for the Measurement of the Unitarity Triangle Angle gamma from B0 to DK+pi- Decays
• Implications of the possibility that sin(2 beta) is small
• Measurement of the Ratio BR(B- --> D*0 K-)/BR(B- --> D*0 pi-) and of the CP Asymmetry of B- --> D*0(CP+) K- Decays
• Present and Future CP Measurements
• Measurement of CP violation observables and parameters for the decays $B^{\pm }\to D{K}^{\ast \pm }$
• Effects of K-\bar K mixing on determining gamma from B^\pm -> DK^\pm
• CKM Phases from CP Asymmetries
• What can we learn from a measurement of sin(2 beta + gamma)?
• CP-violation parameters from decay rates of $B^{\pm }\to D{K}^{\pm }$, $D\to$ multibody final states