Analysis of $B\to K^*_J (\to K π) μ^+μ^-$ in the higher kaon resonance region

Details Analysis of $B\to K^*_J (\to K π) μ^+μ^-$ in the higher kaon resonance region Analysis of $B\to K^*_J (\to K π) μ^+μ^-$ in the higher kaon resonance region

2011-11-07

arxiv.org/abs/1111.1513v2

Phys. Rev. D 85, 034014 (2012)

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages, 5 figures, journal version

Scientific paper

We study the resonant contributions in the process $\bar{B}^0\to K^- \pi^+\mu^+\mu^-$ with the $K^-\pi^+$ invariant mass square $m_{K\pi}^2\in [1, 5] {\rm GeV}^2$. Width effects of the involved strange mesons, $K^*(1410), K_0^*(1430), K_2^*(1430), K^*(1680), K_3^*(1780)$ and $K_4^*(2045)$, are incorporated. In terms of the helicity amplitudes, we derive a compact form for the full angular distributions, through which the branching ratios, forward-backward asymmetries and polarizations are attained. We propose that the uncertainties in the $B\to K^*_J$ form factors can be pinned down by the measurements of a set of SU(3)-related processes. Using results from the large energy limit, we derive the dependence of branching fractions on the $m_{K\pi}$, and find that the $K^*_2(1430)$ resonance has a clear signature, in particular, in the transverse polarizations.

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