Parton physics from a heavy-quark operator product expansion: Lattice QCD calculation of the fourth moment of the pion distribution amplitude

Fuente: arXiv
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Autori principali: Detmold, William, Grebe, Anthony V., Kanamori, Issaku, Lin, C. -J. David, Perry, Robert J., Zhao, Yong
Natura: Preprint
Pubblicazione: 2025
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author Detmold, William
Grebe, Anthony V.
Kanamori, Issaku
Lin, C. -J. David
Perry, Robert J.
Zhao, Yong
author_facet Detmold, William
Grebe, Anthony V.
Kanamori, Issaku
Lin, C. -J. David
Perry, Robert J.
Zhao, Yong
contents The pion light-cone distribution amplitude (LCDA) is an essential non-perturbative input for a range of high-energy exclusive processes in quantum chromodynamics. Building on our previous work, the continuum limit of the fourth Mellin moment of the pion LCDA is determined in quenched QCD using quark masses which correspond to a pion mass of $m_π= 550$ MeV. This calculation finds $\langleξ^2\rangle = 0.202(8)(9)$ and $\langle ξ^4 \rangle = 0.039(28)(11)$ where the first error indicates the combined statistical and systematic uncertainty from the analysis and the second indicates the uncertainty from working with Wilson coefficients computed to next-to-leading order. These results are presented in the $\overline{\text{MS}}$ scheme at a renormalization scale of $μ= 2$ GeV.
format Preprint
id arxiv_https___arxiv_org_abs_2509_04799
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Parton physics from a heavy-quark operator product expansion: Lattice QCD calculation of the fourth moment of the pion distribution amplitude
Detmold, William
Grebe, Anthony V.
Kanamori, Issaku
Lin, C. -J. David
Perry, Robert J.
Zhao, Yong
High Energy Physics - Lattice
High Energy Physics - Phenomenology
Nuclear Theory
The pion light-cone distribution amplitude (LCDA) is an essential non-perturbative input for a range of high-energy exclusive processes in quantum chromodynamics. Building on our previous work, the continuum limit of the fourth Mellin moment of the pion LCDA is determined in quenched QCD using quark masses which correspond to a pion mass of $m_π= 550$ MeV. This calculation finds $\langleξ^2\rangle = 0.202(8)(9)$ and $\langle ξ^4 \rangle = 0.039(28)(11)$ where the first error indicates the combined statistical and systematic uncertainty from the analysis and the second indicates the uncertainty from working with Wilson coefficients computed to next-to-leading order. These results are presented in the $\overline{\text{MS}}$ scheme at a renormalization scale of $μ= 2$ GeV.
title Parton physics from a heavy-quark operator product expansion: Lattice QCD calculation of the fourth moment of the pion distribution amplitude
topic High Energy Physics - Lattice
High Energy Physics - Phenomenology
Nuclear Theory
url https://arxiv.org/abs/2509.04799