CP Violation in Multibody $B$ Decays from QCD Factorization

Abstract

We test a data-driven approach based on QCD factorization for charmless three-body $B$-decays by confronting it to measurements of CP violation in $B^{-}\to {\pi }^{-}{\pi }^{+}{\pi }^{-}$. While some of the needed non-perturbative objects can be directly extracted from data, some others can, so far, only be modelled. Although this approach is currently model dependent, we comment on the perspectives to reduce this model dependence. While our model naturally accommodates the gross features of the Dalitz distribution, it cannot quantitatively explain the details seen in the current experimental data on local CP asymmetries. We comment on possible refinements of our simple model and conclude by briefly discussing a possible extension of the model to large invariant masses, where large local CP asymmetries have been measured.

17 pages, 6 figures, added references

References in corpus (3)

• Measurements of $CP$ violation in the three-body phase space of charmless $B^{\pm }$ decays
• Extrapolation and unitarity bounds for the $B\to \pi$ form factor
• QCD Factorization for $B\to \pi \pi \ell \nu$ Decays at Large Dipion Masses

Cited by in corpus (7)

• Parametrizations of three-body hadronic $B$- and $D$-decay amplitudes in terms of analytic and unitary meson-meson form factors
• Direct CP violation in beauty and charm hadron decays
• Branching Fractions and CP Violation in $B^{-}\to K^{+}{K}^{-}{\pi }^{-}$ and $B^{-}\to {\pi }^{+}{\pi }^{-}{\pi }^{-}$ Decays
• Quasi-two-body decays $B\to D{K}^{\ast }(892)\to DK\pi$ in the perturbative QCD approach
• Resonant contributions to three-body $B_{(s)}\to [D^{(\ast )},{\bar{D}}^{(\ast )}]K^{+}{K}^{-}$ decays in the perturbative QCD approach
• Resonances $\varphi (1020)$ and $\varphi (1680)$ contributions for the three-body decays $B^{+}\to D_s^{+}K\bar{K}$
• Parametrizations of three-body hadronic $B$- and $D$-decay amplitudes