Establishes the HQLaMET two-step factorization scheme to enable lattice QCD computation of the B-meson shape function by separating the effects of disparate scales.
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Lattice QCD yields continuum-limit HQET LCDA parameters λ_B = 0.340(20) GeV and σ_B^(1) = 1.685(63) at 1 GeV, reducing total uncertainty by a factor of three.
Continuum-extrapolated lattice QCD yields heavy-meson LCDAs with D-meson peak at y≈0.2-0.3 and HQET inverse moment λ_B=0.340(20) GeV at 1 GeV, consistent with other determinations.
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Accessing the HQET B-Meson Shape Function from a LaMET Quasi-Shape Function
Establishes the HQLaMET two-step factorization scheme to enable lattice QCD computation of the B-meson shape function by separating the effects of disparate scales.