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.
Flavour dependence of the pion and kaon form factors and parton distribution functions
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
abstract
The separate quark flavour contributions to the pion and kaon valence quark distribution functions are studied, along with the corresponding electromagnetic form factors in the space-like region. The calculations are made using the solution of the Bethe-Salpeter equation for the model of Nambu and Jona-Lasinio with proper-time regularization. Both the pion and kaon form factors and the valence quark distribution functions reproduce many of the features of the available empirical data. The larger mass if the strange quark naturally explains the empirical fact that the ratio $u_{K^+}(x)/u_{\pi^+}(x)$ drops below unity at large $x$, with a value of approximately $M^2_u/M_s^2$ as $x \to 1$. With regard to the elastic form factors we report a large flavour dependence, with the $u$-quark contribution to the kaon form factor being an order of magnitude smaller than that of the $s$-quark at large $Q^2$, which may be a sensitive measure of confinement effects in QCD. Surprisingly though, the total $K^+$ and $\pi^+$ form factors differ by only 10\%.
citation-role summary
method 1
citation-polarity summary
roles
method 1polarities
use method 1representative citing papers
A contact interaction model in the Dyson-Schwinger/Bethe-Salpeter framework produces elastic form factors for axial-vector mesons, with the electric form factor crossing zero at lower momentum than for vector mesons and charge radii decreasing with increasing dressed quark mass.
citing papers explorer
-
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.
-
Elastic Form Factors of Axial-Vector Mesons: A Contact Interaction Exploration
A contact interaction model in the Dyson-Schwinger/Bethe-Salpeter framework produces elastic form factors for axial-vector mesons, with the electric form factor crossing zero at lower momentum than for vector mesons and charge radii decreasing with increasing dressed quark mass.