Photon polarization in radiative B decays

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Abstract
We study decay distributions in B\to K\pi\pi\gamma, combining contributions from several overlapping resonances in a K\pi\pi mass range near 1400 MeV, (1^+) K_1(1400), (2^+) K^*_2(1430) and (1^-) K^*(1410). A method is proposed for using these distributions to determine a photon polarization parameter in the effective radiative weak Hamiltonian. This parameter is measured through an up-down asymmetry of the photon direction relative to the K\pi\pi decay plane. We calculate a dominant up-down asymmetry of 0.33 \pm 0.05 from the K_1(1400) resonance, which can be measured with about 10^8 B\bar B pairs, thus providing a new test for the Standard Model and a probe for some of its extensions.

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