Isospin of new physics in $|ΔS|=1$ charmless B decays

Details Isospin of new physics in $|ΔS|=1$ charmless B decays Isospin of new physics in $|ΔS|=1$ charmless B decays

2007-02-19

arxiv.org/abs/hep-ph/0702193v5

Phys.Rev.D75:094006,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

22 pages, to be published in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.75.094006

New physics (NP) in charmless strangeness-changing $B$ and $B_s$ decays, which are dominated by the $b \to s$ penguin amplitudes, can either preserve isospin or change it by one unit. A general formalism is presented studying pairs of processes related to each other by isospin reflection. We discuss information on $\Delta I$ in NP amplitudes, provided by time-integrated CP-violating rate asymmetries in $B^+$ and $B^0$ decays (or in $B_s$ decays), differences between rates for isospin-reflected processes, and coefficients $S$ of $\sin \Delta m t$ in time-dependent CP asymmetries. These four asymmetries in $B^+$ and $B^0$ decays (or five asymmetries in $B_s$ decays) are shown to determine the magnitude and CP-violating phase of a potential isovector NP amplitude, and the imaginary part of an isoscalar amplitude, assuming that strong phases in NP amplitudes are negligible. This information may be compared with predictions of specific models, for which we discuss a few examples.

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