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.
Matching the Quasi Meson Distribution Amplitude in RI/MOM scheme
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abstract
The $x$-dependence of light-cone distribution amplitude (LCDA) can be directly calculated from a quasi distribution amplitude (DA) in lattice QCD within the framework of large-momentum effective theory (LaMET). In this paper, we study the one-loop renormalization of the quasi-DA in the regularization-independent momentum subtraction (RI/MOM) scheme. The renormalization factor for the quasi parton distribution function can be used to renormalize the quasi-DA provided that they are implemented on lattice and in perturbation theory in the same manner. We derive the one-loop matching coefficient that matches quasi-DA in the RI/MOM scheme onto LCDA in the $\overline{\rm MS}$ scheme. Our result provides the crucial step to extract the LCDAs from lattice matrix elements of quasi-DAs.
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hep-ph 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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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.