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- W4385849133 abstract "We constrain the inverse moment of the $B$-meson light-cone distribution amplitude (LCDA), $lambda_B$ in heavy quark effective theory, using form factor estimates from Lattice QCD collaboration. The estimation of the parameter $lambda_B$ has, until now, relied solely on QCD sum rule methods and deals with significant uncertainty. In this work, we express the form factors for the $B to K$ channel, calculated within the light-cone sum rule (LCSR) approach, in terms of the $B$-meson LCDAs. By incorporating recent Lattice results from the HPQCD collaboration for the $B to K$ form factors at zero momentum transfer ($q^2$ = 0), we impose constraints on this parameter. Consequently, we achieve a twofold reduction in uncertainty compared to the QCD sum rule estimate, yielding $lambda_B=338pm 68$ MeV, when the $B$-meson LCDAs are expressed in the Exponential model. Additionally, we compare the form factor predictions, using the constrained $lambda_B$ value, with the earlier analyses for other channels as well, such as $Bto pi$ and $B to D$." @default.
- W4385849133 created "2023-08-16" @default.
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- W4385849133 date "2023-08-14" @default.
- W4385849133 modified "2023-09-26" @default.
- W4385849133 title "Constraining inverse moment of $B$-meson distribution amplitude using Lattice QCD data" @default.
- W4385849133 doi "https://doi.org/10.48550/arxiv.2308.07033" @default.
- W4385849133 hasPublicationYear "2023" @default.
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