Electroweak penguin amplitudes and constraints on $γ$ in charmless $B\to VP$ decays

Details Electroweak penguin amplitudes and constraints on $γ$ in charmless $B\to VP$ decays Electroweak penguin amplitudes and constraints on $γ$ in charmless $B\to VP$ decays

1999-11-21

arxiv.org/abs/hep-ph/9911429v3

Physics

High Energy Physics

High Energy Physics - Phenomenology

19 pages, additional comments on factorization, to appear in Physical Review D

Scientific paper

10.1103/PhysRevD.62.014031

Electroweak penguin (EWP) amplitudes are studied model-independently in $B$ meson decays to charmless final states consisting of a vector meson ($V$) and a pseudoscalar meson ($P$). A set of SU(3) relations is derived between EWP contributions and tree amplitudes, in the approximation of retaining only the dominant EWP operators $Q_9$ and $Q_{10}$ . Two applications are described for constraining the weak phase $\gamma$, in $B^{\pm}\to \rho^{\pm} K^0$ and $B^{\pm}\to \rho^0 K^{\pm}$ (or $B^{\pm}\to K^{*\pm}\pi^0$ and $B^{\pm}\to K^{*0}\pi^{\pm}$), and in $B^0\to K^{*\pm}\pi^{\mp}$ and $B^{\pm}\to\phi K^{\pm}$. Theoretical uncertainties are discussed.

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