The PQCD approach towards to next-to-leading order: a short review

Abstract

In this short review we elaborate the significance of resummation in $k_T$ factorization theorem, and summarize the recent progresses in the calculations of the next-to-leading order contributions to B meson decays from the perturbative QCD (PQCD) approach. We also comment on the current status of the PQCD approach and highlight some key issues to develop it in the near future for more phenomenological applications.

Typos corrected. Matches the version published on Frontiers of Physics

References in corpus (22)

• On the B to D* tau nu Sensitivity to New Physics
• Search for lepton-universality violation in $B^{+}\to K^{+}{\ell }^{+}{\ell }^{-}$ decays
• Implications of lepton flavor universality violations in B decays
• Charmless non-leptonic B_s decays to PP, PV and VV final states in the pQCD approach
• Form Factors from Light-Cone Sum Rules with B-Meson Distribution Amplitudes
• $B\to \pi \ell \nu$ and $B_s\to K\ell \nu$ form factors and $|V_{ub}|$ from 2+1-flavor lattice QCD with domain-wall light quarks and relativistic heavy quarks
• ${\Lambda }_b\to p,\Lambda$ transition form factors from QCD light-cone sum rules
• Improved Estimates of The $B_{(s)}\to VV$ Decays in Perturbative QCD Approach
• Branching ratios and CP asymmetries of $B\to K{\eta }^{(\prime )}$ decays in the pQCD approach
• PQCD Calculation for ${\Lambda }_b\to \Lambda \gamma$ in the Standard Model
• Next-to-leading-order corrections to exclusive processes in $k_T$ factorization
• The $B_c\to \psi (2S)\pi$, ${\eta }_c(2S)\pi$ decays in the perturbative QCD approach
• Subleading power corrections to the pion-photon transition form factor in QCD
• Glauber gluons in spectator amplitudes for $B\to \pi M$ decays
• $B\to \pi \pi$ decays and effects of the next-to-leading order contributions
• Next-to-leading-order time-like pion form factors in $k_T$ factorization
• Branching Ratio and CP Asymmetry of $B^0\to {\eta }^{(\prime )}{\eta }^{(\prime )}$ Decays in the Perturbative QCD Approach
• Annihilation Type Radiative Decays of $B$ Meson in Perturbative QCD Approach
• Transverse-momentum-dependent wave functions with Glauber gluons in $B\to \pi \pi$, $\rho \rho$ decays
• Gauge Invariance and k_T-Factorization of Exclusive Processes
• The NLO contributions to the scalar pion form factors and the $\mathcal{O}({\alpha }_s^2)$ annihilation corrections to the $B\to \pi \pi$ decays
• Resummation of Large Logarithms in ${\gamma }^{\ast }{\pi }^0\to \gamma$

Cited by in corpus (8)

• Precision calculations of $B_{d,s}\to \pi ,K$ decay form factors in soft-collinear effective theory
• Hochschild homology, trace map and $\zeta$-cycles
• Charmless two-body $B$ meson decays in perturbative QCD factorization approach
• Matching the B-meson quasidistribution amplitude in the RI/MOM scheme
• Analysis of CKM-Favored Quasi-Two-Body $B\to D(R\to )K\pi$ Decays in PQCD Approach
• Perturbative QCD analysis of neutral $B$-meson decays into $\sigma \sigma ,\sigma f_0$ and $f_0{f}_0$
• Reinvestigating the $B$ $\to$ $PV$ decays by including the contributions from ${\varphi }_{B2}$ with the perturbative QCD approach
• Phenomenological studies on neutral $B$-meson decays into $J/\psi f_1$ and ${\eta }_c{f}_1$