Using U Spin to Extract gamma from Charmless B -> PPP Decays

Abstract

Some years ago, a method was proposed for measuring the CP-violating phase gamma using pairs of two-body decays that are related by U-spin reflection (d <-> s). In this paper we adapt this method to charmless B -> PPP decays. Time-dependent Dalitz-plot analyses of these three-body decays are required for the measurement of the mixing-induced CP asymmetries. However, isobar analyses of the decay amplitudes are not necessary. A potential advantage of using three-body decays is that the effects of U-spin breaking may be reduced by averaging over the Dalitz plot. This can be tested independently using the measurements of direct CP asymmetries and branching ratios in three-body charged B decays.

16 pages, no figures; Revised text; Version accepted for publication in JHEP

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Cited by in corpus (8)

• CP violation in the B system
• Contributions of $K_0^{\ast }(1430)$ and $K_0^{\ast }(1950)$ in the three-body decays $B\to K\pi h$
• Observation of the decay ${\Xi }_b^{-}\to p{K}^{-}{K}^{-}$
• Updated branching fraction measurements of $B_{(s)}^0\to K_{\mathrm{S}}^0{h}^{+}{h}^{\prime -}$ decays
• Disentangling weak and strong interactions in $B\to K^{\ast }(\to K\pi )\pi$ Dalitz-plot analyses
• Extraction of the CKM phase $\gamma$ from charmless two-body B meson decays
• Implications of recent LHCb data on CPV in b-baryon four body decays
• Charmless $B\to PPP$ Decays: the Fully-Antisymmetric Final State