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Recently the radiative B decay to the strange axial-vector mesons, B -->K1(1270) gamma, has been observed with rather large branching ratio. Thisprocess is particularly interesting as the subsequent K1 decay into its threebody final state allows us to determine the polarization of the photon, whichis mostly left- (right-)handed for Bbar (B) in the SM while various new physicsmodels predict additional right- (left-)handed components. A new method isproposed to determine the polarization, exploiting the full Dalitz plotdistribution, which seems to reduce significantly the statistical errors. Thispolarization measurement requires however a detailed knowledge of the K1--> Kpi pi strong interaction decays, namely, the various partial wave amplitudesinto the several possible quasi two-body channels, as well as their relativephases. The pattern of partial waves is especially complex for the K1(1270). Weattempt to obtain the information through the combination of an experimentalinput and a theoretical one, provided by the 3P0 quark-pair-creation model.

Determining the photon polarization of the b --> s gamma using the B --> K1(1270) gamma --> (K pi pi) gamma decay