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Light-cone sum rules for $B \to \pi$ form factors revisited

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arxiv 0801.1796 v2 pith:4GC7XQ3F submitted 2008-01-11 hep-ph

G.Duplancic , A.Khodjamirian , Th.Mannel , B.Melic , N.Offen This is my paper · ORCID
classification hep-ph
keywords formfactorslight-conecalculateddistributionmassrulesaddition
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abstract

We reconsider and update the QCD light-cone sum rules for $B\to \pi$ form factors. The gluon radiative corrections to the twist-2 and twist-3 terms in the correlation functions are calculated. The $\bar{MS}$ $b$-quark mass is employed, instead of the one-loop pole mass used in the previous analyses. The light-cone sum rule for $f^+_{B\pi}(q^2)$ is fitted to the measured $q^2$-distribution in $B\to \pi l \nu_l$, fixing the input parameters with the largest uncertainty: the Gegenbauer moments of the pion distribution amplitude. For the $B\to \pi$ vector form factor at zero momentum transfer we predict $f^+_{B\pi}(0)= 0.26^{+0.04}_{-0.03}$. Combining it with the value of the product $|V_{ub}f^+_{B\pi}(0)|$ extracted from experiment, we obtain $|V_{ub}|=(3.5\pm 0.4\pm 0.2\pm 0.1) \times 10^{-3}$. In addition, the scalar and penguin $B\to \pi$ form factors $f^0_{B\pi}(q^2)$ and $f^T_{B\pi}(q^2)$ are calculated.

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Cited by 4 Pith papers

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

  1. Light-Cone Sum Rules for $B\to K\pi$ Form Factors and Applications to Rare Decays

    hep-ph 2019-08 accept novelty 7.0 of 10

    P-wave B→Kπ form factors are derived from light-cone sum rules with B-meson distribution amplitudes, and the K* width is shown to produce a universal ~10% form-factor increase, corresponding to a ~20% rate enhancement.

  2. $|V_{ub}|$ determination and testing of lepton flavour universality in semileptonic $B_c \rightarrow D^{(\ast)}$ decays

    hep-ph 2019-09 conditional novelty 6.0 of 10

    A three-point QCD sum-rule calculation of B_c to D^(*) form factors supports a new |Vub| extraction channel and predicts lepton universality ratios R_c(D^0) = 0.64 +/- 0.05 and R_c(D*) = 0.55 +/- 0.05.

  3. Form factors and phenomenology of $\boldsymbol{B_{(s)}}$ and $\boldsymbol{D_{(s)}}$ semileptonic decays to $\boldsymbol{\eta}$ and $\boldsymbol{\eta^\prime}$

    hep-ph 2025-07 conditional novelty 5.0 of 10

    Updated light-cone sum rule form factors for B(s), D(s) to eta(eta') are fitted across the full q^2 range and used to extract V_ub, V_cs and V_cd with precision the authors call comparable to standard analyses.

  4. The rare decay $B^+ \to K^+\ell^+\ell^-(\nu\bar{\nu})$ under the QCD sum rules approach

    hep-ph 2024-11 conditional novelty 4.0 of 10

    A QCD light-cone sum-rule calculation with the authors' kaon distribution amplitudes predicts B(B+ to K+ nu nubar) = 4.14 x 10^-6 and B(B+ to K+ l+l-) around 6.6 x 10^-7, consistent with other SM estimates.

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