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Logarithmic moments of B-meson quasidistribution amplitude

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arxiv 2401.04291 v1 pith:I5KCHDTV submitted 2024-01-09 hep-ph hep-lat

Logarithmic moments of B-meson quasidistribution amplitude

classification hep-ph hep-lat
keywords amplitudelcdamesonmomentslametlatticelogarithmicmatching
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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