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Global Analysis of hadronic two-body B decays in the perturbative QCD approach

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arxiv 2012.15074 v2 pith:3TXAUXT2 submitted 2020-12-30 hep-ph

Jun Hua , Hsiang-nan Li , Cai-Dian Lu , Wei Wang , Zhi-Peng Xing This is my paper · ORCID
classification hep-ph
keywords mesonanalysisapproachgloballcdaspqcdamplitudesdecays
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

Based on the flavor structure of four-quark effective operators, we develop an automatic computation program to calculate hadronic two-body $B$ meson decay amplitudes, and apply it to their global analysis in the perturbative QCD (PQCD) approach. Fitting the PQCD factorization formulas for $B\to PP,VP$ decays at leading order in the strong coupling $\alpha_s$ to measured branching ratios and direct CP asymmetries, we determine the Gegenbauer moments in light meson light-cone distribution amplitudes (LCDAs). It is found that most of the fitted Gegenbauer moments of the twist-2 and twist-3 LCDAs for the pseudoscalar meson $P$ ($P=\pi$, $K$) and vector meson $V$ ($V=\rho$, $K^*$) agree with those derived in QCD sum rules. The shape parameter for the $B_s$ meson distribution amplitude and the weak phase $\phi_3(\gamma)=(75.1\pm2.9)^\circ$ consistent with the value in Particle Data Group are also obtained. It is straightforward to extend our analysis to higher orders and higher powers in the PQCD approach, and to the global determination of LCDAs for other hadrons.

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Cited by 4 Pith papers

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  1. Revisiting $\bar B^0 \rightarrow \Lambda_c^+ \bar p$ decay with higher twist corrections

    hep-ph 2026-07 accept novelty 6.0 of 10

    Higher-twist LCDAs plus W-exchange produce destructive interference that lowers the PQCD branching fraction of B-bar0 to Lambda_c+ p-bar to ~1.6e-5, matching experiment, while predicting the suppressed mode at order 10^{-8}.

  2. Determination of $B$-meson distribution amplitudes from $B\to \pi,K,D$ transition form factors

    hep-ph 2025-12 unverdicted novelty 5.0 of 10

    Global fit of B to pi, K, D form factors from lattice QCD and LCSR yields lambda_B = 217(19) MeV with model variations and |V_ub| = 3.68(13) x 10^{-3}.

  3. Improved global determination of two-meson distribution amplitudes from multi-body $B$ decays

    hep-ph 2025-01 conditional novelty 5.0 of 10

    An improved global fit of two-meson distribution amplitudes in the PQCD framework yields better convergence of the Gegenbauer expansion and resolves the Bs→K*Kbar* polarization puzzle, though the headline results are ...

  4. Probing $B^+ \to K^+$ semi-leptonic FCNC decay with new physics effects under PQCD approach

    hep-ph 2024-12 conditional novelty 5.0 of 10

    An improved PQCD plus lattice calculation of B to K semileptonic FCNC form factors confirms a 2.7 sigma excess in B+ to K+ nu nubar and a deficit in B+ to K+ l+ l-, and rules out single-leptoquark explanations using B...

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