Infrared Divergence and Twist-3 Distribution Amplitudes in QCD Factorization For $B\to PP$

Abstract

Since b quark mass is not asymptotically large, chirally enhanced corrections which arise from twist-3 wave functions may be important in B decays. We thus evaluate the hadronic matrix elements with the final light pseudoscalar mesons described by leading twist and twist-3 distribution amplitudes. We find that chirally enhanced corrections can be included consistently in the framework of QCD factorization only if the twist-3 distribution amplitudes are symmetric. We then give explicit expressions of $a_i^p$ for $B\to \pi \pi$ at the next-to-leading order of ${\alpha }_s$ including chirally enhanced corrections. We also briefly discuss the divergence appeared in the hard spectator contributions.

12 pages, 3 figures, A revised version to appear in Phys. Lett. B

Cited by in corpus (34)

• Leading-power contributions to $B\to \pi ,\rho$ transition form factors
• Perturbative QCD analysis of $B\to \varphi K$ decays and Power counting
• Phenomenological Analysis of Charmless Decays B-->PV with QCD Factorization
• Phenomenological Analysis of Charmless Decays Bs->PP,PV with QCD Factorization
• Constraints on the nonuniversal Z^\prime couplings from B\toπK, πK^{\ast} and ρK Decays
• Phenomenological Analysis of B->PP Decays with QCD Factorization
• Charmless two-body B decays: A global analysis with QCD factorization
• Study of $B_c^{-}$ $\to$ $J/\psi {\pi }^{-}$, ${\eta }_c{\pi }^{-}$ Decays with QCD Factorization
• Phenomenological study of the $B_c$ $\to$ $BP$, $BV$ decays with perturbative QCD approach
• Revisiting B\toπK, πK^{\ast} and ρK decays: CP violations and implication for New Physics
• Constraining R-parity violating couplings from B --> PP decays using QCD improved factorization method
• Reinvestigating the $B$ $\to$ $PP$ decays by including the contributions from ${\varphi }_{B2}$
• Reexamining charmless B\to PV decays in QCD factorization approach
• Study of the weak annihilation contributions in charmless $B_s\to VV$ decays
• $B\to {\chi }_{c0,2}K$ decays: a model estimation
• Study of the $B_s$ $\to$ $\varphi f_0(980)$ $\to$ $\varphi {\pi }^{+}{\pi }^{-}$ decay with perturbative QCD approach
• $B_c$ $\to$ $BP$, $BV$ decays with the QCD factorization approach
• $J/\psi$ $\to$ $DP$, $DV$ decays in the QCD factorization approach
• Power Corrections in Charmless B Decays
• Study of the $B_c$ $\to$ $B_s\pi$ decay with the perturbative QCD approach
• Nonfactorizable $B\to {\chi }_{c0}K$ decay and QCD factorization
• Study of $B_s$ $\to$ ${\eta }_c(J/\psi )D$ decay with perturbative QCD approach
• Sudakov effects in BBNS approach
• Possibility of searching for $B_c^{\ast }$ $\to$ $B_{u,d,s}V$, $B_{u,d,s}P$ decays
• Reinvestigating the $B$ $\to$ $PV$ decays by including the contributions from ${\varphi }_{B2}$ with the perturbative QCD approach
• $B_u$ $\to$ $\psi M$ decays and $S$-$D$ wave mixing effects
• $B^{\ast }$ $\to$ $\bar{D}D$ decays with perturbative QCD approach
• Study of the ${\bar{B}}_q^{\ast }$ $\to$ $DM$ decays with perturbative QCD approach
• Possibility of experimental study on nonleptonic $B_c^{\ast }$ weak decays
• Contributions from ${\Phi }_{B2}$ to the $B$ $\to$ $PP$ decays within the QCD factorization
• Study of the ${\rm Y}(1S)$ $\to$ $DP$ decays
• The QED nonfactorizable correction to the semileptonic charmed three-body $B$ decays
• Study of the two-body nonleptonic $B_c(2S)$ weak decays with the QCD factorization approach
• Study of $C$ parity violating and strangeness changing $J/\psi$ $\to$ $PP$ weak decays