B to tensor meson form factors in the perturbative QCD approach

Understand

We calculate the $B_{u,d,s}\to T$ form factors within the framework of the perturbative QCD approach, where $T$ denotes a light tensor meson with $J^P=2^+$.

• Due to the similarities between the wave functions of a vector and a tensor meson, the factorization formulas of $B\to T$ form factors can be obtained from the $B\to V$ transition through a replacement rule.
• As a consequence, we find that these two sets of form factors have the same signs and correlated $q^2$-dependence behaviors.
• At $q^2=0$ point, the $B\to T$ form factors are smaller than the $B\to V$ ones, in accordance with the experimental data of radiative B decays.