Radiative B→K1 decays in the light-cone sum rules

The weak form factor for B -> K-1B where K-1B is the P-1(1) state is calculated in the light-cone sum rules (LCSR). Combining the quark model result for the form factor of B -> K-1A with K-1A being the P-3(1) state, we have larger values for B -> K-1 form factors than the previous LCSR results. The increased form factors reduce the discrepancy between theory and the experimental data for B -> K-1 gamma. Some phenomenological meanings are also discussed.