Power corrections to quasi-distribution amplitudes of a heavy meson

Abstract

It has been recently demonstrated that lightcone distribution amplitudes (LCDAs) for a heavy meson, defined in the heavy quark limit, can be extracted by simulating quasi-distribution amplitudes on the lattice with a large meson momentum $P^z$. This extraction involves a two-step procedure. In the first-step, the quasi-distribution amplitudes are matched onto the QCD LCDAs in the large $P^z$ limit. In the second step, the QCD LCDAs are matched onto the desired LCDAs defined in HQET. In this work, we present the $m_H^{2n}/(P^z{)}^{2n}$ and ${\Lambda }_{\text{QCD}}^2/(P^z{)}^2$ corrections in the first step with $m_H$ being the heavy meson mass. To account for $m_H^{2n}/(P^z{)}^{2n}$ corrections, we employ two methods: the moment relation that can provide mass corrections to all orders, and a leading-twist projector that gives the leading-order mass corrections. For the ${\Lambda }_{\text{QCD}}^2/(P^z{)}^2$ corrections, we employ a renormalon model that addresses the renormalon ambiguity stemming from the divergence of the perturbative series. We adopt two parametrizations for QCD LCDAs to conduct a numerical analysis. The results suggest that these corrections are typically smaller than 20\% in most regions, and should be included in a precision analysis. These findings will serve as a valuable guide for future studies on heavy meson LCDAs, particularly in the context of Lattice QCD, where accounting for such corrections is crucial for improving the accuracy and reliability of the results.

12 pages,7 figures

References in corpus (26)

• Large-Momentum Effective Theory
• Exploring hadrons' partonic structure using ab initio lattice QCD calculations
• A Hybrid Renormalization Scheme for Quasi Light-Front Correlations in Large-Momentum Effective Theory
• Precision calculations of $B\to V$ form factors in QCD
• Pion and Kaon Distribution Amplitudes from Lattice QCD
• Modelling light-cone distribution amplitudes from non-relativistic bound states
• Pion and Kaon Distribution Amplitudes in the Continuum Limit
• $B$-meson light-cone distribution amplitude from the Euclidean quantity
• Parton Distribution Functions of Heavy Mesons on the Light Front
• Distribution Amplitudes of $K^{\ast }$ and $\varphi$ at Physical Pion Mass from Lattice QCD
• B-Meson Light-Cone Distribution Amplitude: Perturbative Constraints and Asymptotic Behaviour in Dual Space
• Distribution Amplitudes of Heavy Mesons and Quarkonia on the Light Front
• Two-loop evolution equation for the B-meson distribution amplitude
• Leading Power Accuracy in Lattice Calculations of Parton Distributions
• Light-cone distribution amplitudes of a light baryon in large-momentum effective theory
• Evolution of the $B$-Meson Light-Cone Distribution Amplitude in Laplace Space
• QCD sum rules for parameters of the $B$-meson distribution amplitudes
• Lattice QCD calculation of the pion distribution amplitude with domain wall fermions at physical pion mass
• $B$-meson Ioffe-time distribution amplitude at short distances
• Systematic Parametrization of the Leading $B$-meson Light-Cone Distribution Amplitude
• Lightcone and quasi distribution amplitudes for light octet and decuplet baryons
• Wave Functions and Leptonic Decays of Bottom Mesons In the Relativistic Potential Model
• $D^{\ast }$ and $D_s^{\ast }$ distribution amplitudes from Bethe-Salpeter wave functions
• Inverse moment of the $B$-meson quasi distribution amplitude
• Matching the B-meson quasidistribution amplitude in the RI/MOM scheme
• Heavy quark expansion for heavy-light light-cone operators

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• Light Cone Distribution Amplitude for the $\Lambda$ Baryon from Lattice QCD
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• Large-Momentum Effective Theory's Asymptotic Extrapolation vs the Inverse Problem
• Renormalon effect of quasi-PDF in gradient flow formalism