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.
Highlights
Exclusive processes at high energy play a vital role in understanding the strong interactions in hadronic reactions
A groundbreaking approach to calculate light-cone distribution amplitude (LCDA) and more general parton physics from lattice QCD is formulated as large-momentum effective theory (LaMET) [13,14], where the full x dependence of LCDAs as well as other parton distributions can be accessed
When the meson momentum Pz is much greater than mass of the meson and ΛQCD, the quasi-DA in the regularizationindependent momentum subtraction (RI/MOM) scheme can be matched to LCDA through the factorization formula [17,21,23,41], φðΓ; x; Z
Summary
Exclusive processes at high energy play a vital role in understanding the strong interactions in hadronic reactions. A groundbreaking approach to calculate LCDA and more general parton physics from lattice QCD is formulated as large-momentum effective theory (LaMET) [13,14], where the full x dependence of LCDAs as well as other parton distributions can be accessed. The lattice calculations of parton distributions with LaMET have been carried out and improved over the past years [37,43,44,45,46,47,48,49,50,51,52,53,54,55], and the most recent results at physical pion mass [49,50,52,53,55] and large nucleon momenta [50,53,55] have seen remarkable agreements with the global analysis of PDFs in the moderate-to-large x region (see [56] for a recent review).
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