Speaker
Description
PDFs are universal functions appearing in factorizations of various processes relevant to collider phenomenology; many methods exist to determine their $x$ dependence in lattice QCD, but precision determinations remain challenging. Mellin moments of PDFs can be defined in terms of matrix elements of local operators in lattice QCD, but direct determinations besides $<x>$ run into challenges because of the reduced symmetry of the hypercubic lattice. We demonstrate the efficacy of a recently proposed method [1] to resolve these challenges using the gradient flow, and present ratios of flavor non-singlet PDF moments up to $<x^5>$, using four ensembles with $m_{\pi} \simeq 411~\text{MeV}$ generated by the OpenLat initiative [2]. The moments and reconstructed PDF agree quantitatively with recent phenomenological extractions.
[1] A. Shindler, Phys. Rev. D 110, L051503 (2024)
[2] https://openlat1.gitlab.io
| Parallel Session (for talks only) | Structure of hadrons and nuclei |
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