Moments of pion distribution amplitude using operator product expansion on the lattice
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LATTICE2018_106.pdf
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Published version
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Author(s) • • • •
Detmold, William
Kanamori, Issaku
Lin, C-J David
Mondal, Santanu
Zhao, Yong
Date Issued
2018
Journal
Proceedings of Science
Publisher
Sissa Medialab
Version
Final published version
Abstract
© Copyright owned by the author(s) under the terms of the Creative Commons. We report an exploratory study of the current-current matrix elements that are relevant to the extraction of moments of the pion light-cone distribution amplitude, employing the method of introducing a valence relativistic heavy quark. The numerical investigation is carried out in the quenched approximation with the physical volume L ≈ 2.4 fm at two values of lattice spacing (0.05 and 0.075 fm). We obtain clean signals for the relevant Euclidean hadronic tensor with reasonable statistics, but observe that the lattice artefacts are non-negligible in our results. The key conclusion from the analysis hitherto is that although our approach has the potential for making significant contributions to parton physics, data at finer lattice spacings that are currently being produced are needed in order to control the continuum extrapolation.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Department of Physics
Terms of Use
Creative Commons Attribution-NonCommercial-NoDerivs License
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.22323/1.334.0106