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QCD sum rules for parameters of the $B$-meson distribution amplitudes

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arxiv 2012.12165 v3 pith:H72ONL3Q submitted 2020-12-22 hep-ph

Muslem Rahimi , Marcel Wald This is my paper · ORCID
classification hep-ph
keywords lambdaamplitudesdistributionmathcalmesonparametersratiorules
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We obtain new estimates for the parameters $\lambda_{E}^2$, $\lambda_H^2$ and their ratio $\mathcal{R} = \lambda_{E}^2/\lambda_H^2$, which appear in the second moments of the $B$-meson light-cone distribution amplitudes defined in the heavy-quark effective field theory. The computation is based on two-point QCD sum rules for the diagonal correlation function and includes all contributions up to mass dimension seven in the operator-product expansion. For the ratio we get $\mathcal{R} = (0.1 \pm 0.1)$ with $\lambda_H^2 = (0.15 \pm 0.05) \, \text{GeV}^2$ and $\lambda_E^2 = (0.01 \pm 0.01) \, \text{GeV}^2$.

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Cited by 4 Pith papers

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  1. Light-cone sum rules with $B$-meson distribution amplitudes for the $B\to p$ form factors in $B$-mesogenesis models

    hep-ph 2026-03 conditional novelty 7.0 of 10

    New light-cone sum-rule form factors predict B+→p + dark-antiproton rates and lower limits showing that Belle II/BaBar bounds must reach 10⁻⁸–10⁻⁷ for a decisive test of B-mesogenesis.

  2. Investigating non-local contributions in $B_{s} \to \phi \bar{\ell} \ell$ including higher-twist effects

    hep-ph 2025-02 conditional novelty 6.0 of 10

    Including twist-5 and twist-6 B_s-meson distribution amplitudes enhances the charm-loop non-local form factors in B_s to phi l+l- by about an order of magnitude, producing a larger but still Standard-Model-consistent ...

  3. Precision calculations of $B\to K^*$ form factors from SCET sum rules beyond leading-power contributions

    hep-ph 2024-12 conditional novelty 6.0 of 10

    New subleading-power corrections to B to K* form factors from SCET sum rules yield SM branching fractions BR(Bbar0 to Kbar*0 nu nubar)=8.09(96)e-6 and F_L=0.44(4).

  4. Analysis of the $B_{(s)}\rightarrow T(J^P=2^-)$ transition in light cone QCD sum rules

    hep-ph 2024-11 conditional novelty 4.0 of 10

    LCSR computation of B(s) -> T(2^-) l+ l- form factors and branching ratios using B-meson DAs up to twist-4, yielding BRs of order 10^-7 to 10^-8.

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