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Logarithmic moments of B-meson quasidistribution amplitude
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abstract
It was demonstrated that the lattice simulation of $B$-meson light-cone distribution amplitude (LCDA) is feasible via the quasi-distribution amplitude (quasi-DA) in large momentum effective theory (LaMET). The structures of logarithmic moments (LMs) of $B$-meson quasi-DA is explored in this work. The one-loop results indicate mixing in the matching: the $n$-th LM would be not only factorized into the $n$-th LM of LCDA, but also other moments with different power, accompanied by short distance coefficients. These results supply the understanding of the matching in LaMET and may provide guidance to the lattice study of LMs or other parameters of $B$-meson LCDA.
Forward citations
Cited by 3 Pith papers
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Light Cone Distribution Amplitude for the $\Lambda$ Baryon from Lattice QCD
The first lattice QCD extraction of the Lambda baryon's light-cone distribution amplitude via LaMET yields a momentum-fraction distribution peaked at small light-quark momenta.
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Factorization Formula Connecting the Shape Functions of Heavy Meson in QCD and Heavy Quark Effective Theory
The QCD B-meson shape function in the endpoint region equals the HQET shape function multiplied by a perturbative matching coefficient whose one-loop form is derived in this paper.
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Power corrections in the determination of heavy meson LCDAs: A renormalon-based estimation
Using the renormalon model, the paper estimates that power corrections to the QCD-to-HQET light-cone distribution amplitude matching are around 22% for the D meson and 7% for the B meson in the peak region.
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