Procedure for direct measurement of the Cabibbo-Kobayashi-Maskawa angle $\gamma$

Abstract

A natural procedure is presented to measure the angle $\gamma$ from the decay $B^{\pm }\to {\pi }^{\pm }{\pi }^{+}{\pi }^{-}$. It is based in the Dalitz plot fitting analysis. Neither amplitudes nor strong phases have to be known a priori. We present simulations of this decay computing both statistical and theoretical uncertainties and analyze the experimental feasibility. We found that $\gamma$ could be measured with a combined error of the order of 20${}^o$ with 90% of CL after about a couple of years of running of the first generation of B factories.

Version to appear in Physical Review Letters

Cited by in corpus (15)

• CP Violation in the B System and Relations to $K\to \pi \nu \bar{\nu }$ Decays
• Dalitz Plot Analysis of B+- --> pi+-pi+-pi-+ Decays
• Amplitude Analysis of the Decay B+- -> pi+- pi+- pi-+
• Improved method for CKM constraints in charmless three-body B and B_s decays
• B->rho pi decays, resonant and nonresonant contributions
• Study of B -> ρπdecays at Belle
• The penguin operators in nonresonant $B^{-}\to M\bar{M}{\pi }^{-}$ $(M={\pi }^{-},K^{-},K^0)$ decays
• Direct CP violation in beauty and charm hadron decays
• CP violation in the partial width asymmetries for B^- -> pi^+ pi^- K^- and B^- -> K^+ K^- K^- decays
• Direct $CP$ violation in charmless three-body decays of $B^{\pm }$ mesons
• Extracting CKM $\gamma$ phase from $B^{\pm }\to K^{\pm }{\pi }^{+}{\pi }^{-}$ and $B^0$, ${\bar{B}}^0\to K_s{\pi }^{+}{\pi }^{-}$
• CP violating phase $\gamma$ and the partial widths asymmetry in $B^{-}\to {\pi }^{+}{\pi }^{-}{K}^{-}$ and $B^{-}\to K^{+}{K}^{-}{K}^{-}$ decays
• A new method to measure the CP violating angle gamma using B^\pm -> pi^\pm pi^+ pi^- and B^\pm -> K^\pm pi^+ pi^- decays
• CP asymmetry from hadronic charm rescattering in $B^{\pm }\to {\pi }^{-}{\pi }^{+}{\pi }^{\pm }$ decays at the high mass region
• Looking for nonstandard CP violation in B^\pm -> D_s^\pm D^0 pi^0 decays