Revisiting $B\to K^{\ast }\pi$ and $B\to K\rho$ decays using the modified perturbative QCD approach

Abstract

We revisit $B\to K^{\ast }\pi$ and $B\to K\rho$ decay processes using the modified perturbative QCD approach, which is developed based on the perturbative QCD approach with a few improvements. A critical infrared cutoff scale ${\mu }_c$ is introduced to separate hard and soft contributions in the decay process. Hard contributions with scale $\mu$ larger than ${\mu }_c$ are calculated with perturbative QCD, and soft contributions with $\mu <{\mu }_c$ are described in terms of soft transition and production form factors. In addition, color-octet contributions are considered phenomenologically. The branching fractions and $CP$ violations of $B\to K^{\ast }\pi$, $K\rho$ decays are calculated. With appropriate parameter inputs, the theoretical results can be in good agreement with experimental data.

16 pages, 1 figure

References in corpus (8)

• Form Factors from Light-Cone Sum Rules with B-Meson Distribution Amplitudes
• $B\to K$ and $D\to K$ form factors from fully relativistic lattice QCD
• B- to light-meson transition form factors
• Spectrum of Higher excitations of $B$ and $D$ mesons in the relativistic potential model
• Wave Functions and Leptonic Decays of Bottom Mesons In the Relativistic Potential Model
• Possible solution of the puzzle for the branching ratio and $CP$ violation in $B\to \pi \pi$ decays with a modified perturbative QCD approach
• Branching ratio and $CP$ violation of $B\to K\pi$ decays in a modified perturbative QCD approach
• Study of $B\to PP$ decays in the modified perturbative QCD approach

Cited by in corpus (2)

• Phenomenological analysis of charmless $B\to PV$ decays in the modified perturbative QCD approach
• Branching fraction, $CP$ asymmetry, and polarization in $B\to \rho \rho$ decays with the modified perturbative QCD approach