Fuguang Cao | Searcharxiv

arXiv1997

Perturbative QCD study on the photonic penguin contributions to the decay $B\to K^* γ$

Including corrections of order $O(m_{K^*}/m_B)$, we present an analysis of photonic penguin contributions to the decay $B\to K^* γ$ in the perturbative QCD framework. Employing several models of the meson wave functions, we demonstrate that the corrections of $O(m_{K^*}/m_B)$ are enhanced and will providesubstantial contributions to the decay because of the B meson wave function being sharply peaked (bound state effect). The numerical predictions for the corrections are about $30%\sim 60%$ which depend on the non-perturbative inputs such as the meson wave functions and the $b$-quark mass.

hep-ph↗

arXiv1997

The hard scattering amplitude for the higher helicity components of the pion form factor

For obtaining the spin space wave function of the pion meson in the light-cone formalism from the naive quark model, it is necessary to take into account Wigner rotation. Consequently there are higher helicity ($λ_1+λ_2=\pm 1$) components in the light-cone spin space wave function of the pion besides the usual helicity ($λ_1+λ_2=0$) components. For the pion electromagnetic form factor, we calculate the hard-scattering amplitude for the higher helicity components in the light-cone perturbation theory. It is found that the hard-scattering amplitude for the higher helicity components is of order $1/Q^4$, which is vanishingly small compared to that of the ordinary helicity component at very high $Q^2$ but should be considered in the $Q^2$ region where experimental data are available.

hep-ph↗