REVIEW 9 cited by
Gradient flow for parton distribution functions: first application to the pion
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
Gradient flow for parton distribution functions: first application to the pion
read the original abstract
Parton distribution functions (PDFs) are central to precision QCD phenomenology. Their Mellin moments can be computed on the lattice, but direct determinations using local operators, besides $\langle x \rangle$, face severe challenges from reduced hypercubic symmetry, limiting results to the lowest moments. A recently proposed method resolves these issues using gradient flow. We demonstrate the efficacy of this method by computing ratios of flavor non-singlet pion PDF moments up to $\langle x^5 \rangle$, on four lattice spacings at $m_\pi \simeq 411$ MeV. The moments and reconstructed PDF agree quantitatively with recent phenomenological extractions.
Forward citations
Cited by 9 Pith papers
-
The perturbative Ricci flow in gravity
A perturbative Ricci-flow formulation in gravity yields a renormalization scheme for Newton's constant that exhibits a non-Gaussian fixed point at two-loop order.
-
The nucleon unpolarized generalized form factors and Mellin moments up to fourth order
First lattice-QCD extraction of nucleon unpolarized Mellin moments through fourth order at physical pion mass, with GFF Q^{2} dependence and a reconstructed isovector valence PDF.
-
Gradient Flow Renormalization Schemes for Composite Fermion Operators
New A and V gradient flow schemes enable nonperturbative renormalization of composite fermion operators via conserved currents and ratios of correlation functions, demonstrated on domain-wall ensembles for Z_V/Z_A and...
-
Mellin Moments of Pion and Kaon Unpolarized PDFs from Nonlocal Operators in Lattice QCD
First lattice QCD results for Mellin moments of pion and kaon unpolarized PDFs from nonlocal operator matrix elements on a 32^3×64 twisted-mass ensemble at m_π=260 MeV, extracted at NNLO and μ=2 GeV.
-
Constraining DVCS Compton Form Factors Using Lattice QCD informed Neural Network
A neural network framework informed by lattice QCD uses all-order dispersion relations to significantly constrain both real and imaginary parts of Compton Form Factors extracted from DVCS proton data.
-
Pion and Kaon PDFs from Lattice QCD via Large Momentum Effective Theory and Short-Distance Factorization
Lattice QCD calculation of pion and kaon unpolarized quark PDFs on a 32^3×64 ensemble with 260 MeV pion mass, using LaMET and SDF matching at boosts up to 2.07 GeV.
-
Pion Parton Distribution Functions in the Light-Cone Quark Model and Experimental Constraints
Pion valence quark PDFs from the light-cone quark model are evolved with DGLAP and shown to match experimental data, enabling first NLO F2 predictions and Drell-Yan cross-section estimates.
-
Hadron Structure from lattice QCD in the context of the Electron-Ion Collider
Lattice QCD now delivers high-precision results on hadron internal structure that directly support the scientific program of the Electron-Ion Collider.
-
Precision QCD with the Electron-Ion Collider
A workshop summary report outlines discussion topics in perturbative QCD, nuclear structure, and related techniques for the upcoming Electron-Ion Collider.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.