Determining the photon polarization of the b → sγ using the B → K1(1270)γ → (Kππ)γ decay

Recently the radiative B decay to the strange axial-vector mesons, B -> K-1(1270)gamma, has been observed with a rather large branching ratio. This process is particularly interesting as the subsequent K-1 decay into its three-body final state allows us to determine the polarization of the photon, which is mostly left-(right-)handed for (B) over bar (B) in the SM while various new physics models predict additional right-(left-)handed components. A new method is proposed to determine the polarization, exploiting the full Dalitz plot distribution, which seems to reduce significantly the statistical errors. This polarization measurement requires, however, detailed knowledge of the K-1 -> K pi pi strong interaction decays, namely, the various partial wave amplitudes into the several possible quasi-two-body channels, as well as their relative phases. The pattern of partial waves is especially complex for the K-1(1270). We attempt to obtain the information through the combination of an experimental input and a theoretical one, provided by the P-3(0) quark-pair-creation model.