Improved method for CKM constraints in charmless three-body B and B_s decays

Abstract

Recently Ciuchini, Pierini and Silvestrini proposed a method for constraining CKM parameters in B->K pi pi and B_s-> K pi pi through phase measurements of amplitudes involving I=3/2 K*pi final states. We show that complementary information on CKM parameters may be obtained by studying the phases of Delta I=1 B->(K*pi)_{I=1/2}, B_s->(K*\bar K)_{I=1} and B_s->(\bar K* K)_{I=1} amplitudes. Hadronic uncertainties in these constraints from electroweak penguin operators O_9 and O_10, studied using flavor SU(3), are shown to be very small in B->K pi pi and B_s->K pi pi and somewhat larger in B_s-> K\bar K pi. The first processes imply a precise linear relation between \bar rho and \bar eta, with a measurable slope and an intercept at \bar eta=0 involving a theoretical error of 0.03. The decays B_s-> K pi pi permit a measurement of gamma involving a theoretical error below a degree. We note that while time-dependence is required when studying B^0 decays at the Upsilon(4S), it may not be needed when studying B_s decays at hadronic colliders.

11 pages, 1 figure, references updated, small corrections

Cited by in corpus (11)

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• Charmless Three-body Decays of B Mesons
• Observation of direct CP violation in the measurement of the Cabibbo-Kobayashi-Maskawa angle gamma with B+- --> D(*)K(*)+- decays
• Amplitude Analysis of B0-->K+ pi- pi0 and Evidence of Direct CP Violation in B--> K* pi decays
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• Helicity-dependent generalized parton distributions for nonzero skewness
• Amplitude analysis of $B_s^0\to K_{\text{S}}^0{K}^{\pm }{\pi }^{\mp }$ decays
• Observation of the decay ${\Xi }_b^{-}\to p{K}^{-}{K}^{-}$
• Constraint on rho-bar, eta-bar from B to K*pi
• Updated branching fraction measurements of $B_{(s)}^0\to K_{\mathrm{S}}^0{h}^{+}{h}^{\prime -}$ decays
• Study $B_{(s)}^0$ decays into $\varphi$ and a scalar or vector meson