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Renormalization-Group Evolution for the Bottom-Meson Soft Function

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arxiv 2312.15439 v1 pith:6R2HVA2N submitted 2023-12-24 hep-ph hep-exhep-lat

Yong-Kang Huang , Yao Ji , Yue-Long Shen , Chao Wang , Yu-Ming Wang , Xue-Chen Zhao This is my paper · ORCID
classification hep-phhep-exhep-lat
keywords evolutionfunctionsoftbottom-mesonequationrenormalization-groupallowingamplitude
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We determine for the first time the renormalization-group (RG) evolution equation for the $B$-meson soft function dictating the non-perturbative strong interaction dynamics of the long-distance penguin contributions to the exclusive $b \to q \ell^{+} \ell^{-}$ and $b \to q \gamma$ decays. The distinctive feature of the ultraviolet renormalization of this fundamental distribution amplitude consists in the novel pattern of mixing positive into negative support for an arbitrary initial condition. The exact solution to this integro-differential RG evolution equation of the bottom-meson soft function is then derived with the Laplace transform technique, allowing for the model-independent extraction of the desired asymptotic behaviour at large/small partonic momenta.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Renormalisation group evolution of the shape function $g_{17}$ in $\bar{B}\to X_s \gamma$ and $\bar{B} \to X_s \ell^+\ell^-$ at subleading power

    hep-ph 2024-11 conditional novelty 7.0 of 10

    The authors derive and solve the renormalization-group equation for the subleading shape function g17(ω,ω1;μ) in inclusive B decays, and simplify the RG evolution of a related exclusive soft function.

  2. SCET sum rules for $\Lambda_b \to \Lambda \ell^+\ell^-$, $\Lambda \gamma$ decays

    hep-ph 2025-06 conditional novelty 6.0 of 10

    SCET light-cone sum rules give NLO soft form factors and small non-factorizable corrections for Λ_b → Λ decays, with a Λ_b → Λ γ branching fraction consistent with data.

  3. 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}.

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