Unpolarized and Helicity Generalized Parton Distributions of the Proton within Lattice QCD.

  title={Unpolarized and Helicity Generalized Parton Distributions of the Proton within Lattice QCD.},
  author={Constantia Alexandrou and Krzysztof Cichy and Martha Constantinou and K. Hadjiyiannakou and Karl Jansen and Aurora Scapellato and Fernanda Steffens},
  journal={Physical review letters},
  volume={125 26},
We present the first calculation of the x dependence of the proton generalized parton distributions (GPDs) within lattice QCD. Results are obtained for the isovector unpolarized and helicity GPDs. We compute the appropriate matrix elements of fast-moving protons coupled to nonlocal operators containing a Wilson line. We present results for proton momenta 0.83,1.25,1.67 GeV, and momentum transfer squared 0.69,1.38  GeV^{2}. These combinations include cases with zero and nonzero skewness. The… 

Figures from this paper

arXiv : Lattice continuum-limit study of nucleon quasi-PDFs
The quasi-PDF approach provides a path to computing parton distribution functions (PDFs) using lattice QCD. This approach requires matrix elements of a power-divergent operator in a nucleon at high
Revealing the structure of light pseudoscalar mesons at the electron–ion collider
How the bulk of the Universe's visible mass emerges and how it is manifest in the existence and properties of hadrons are profound questions that probe into the heart of strongly interacting matter.
Conserving Lattice Gauge Theory for Finite Systems
Correspondence: alexander.rothkopf@uis.no Faculty of Science and Technology, University of Stavanger, 4021 Stavanger, Norway Full list of author information is available at the end of the article
Light-cone PDFs and GPDs from Lattice QCD
In this article, we review recent lattice calculations on the x-dependence of PDFs and GPDs from lattice QCD.
Twist-3 partonic distributions from lattice QCD
Twist-3 partonic distributions contain important information that characterizes nucleon’s structure. In this work, we show our lattice exploration of the twist-3 PDFs gT (x), and hL(x). We also
Distillation at high momentum
Extraction of hadronic observables at finite momenta from lattice QCD (LQCD) is constrained by the well-known signal-to-noise problems afflicting all such LQCD calculations. Traditional quark
First Lattice QCD Study of Proton Twist-3 GPDs
S. Bhattacharya, K. Cichy, M. Constantinou, J. Dodson,a,∗ A. Metz, A. Scapellato and F. Steffens Department of Physics, Temple University, Philadelphia, PA 19122 1801, USA Faculty of Physics, Adam
Flavor decomposition of the nucleon unpolarized, helicity, and transversity parton distribution functions from lattice QCD simulations
We present results on the quark unpolarized, helicity and transversity parton distributions functions of the nucleon. We use the quasi-parton distribution approach within the lattice QCD framework
Flavor nonsinglet parton distribution functions from lattice QCD at physical quark masses via the pseudodistribution approach
One of the great challenges of QCD is to determine the partonic structure of the nucleon from first principles. In this work, we provide such a determination of the flavor non-singlet ($u-d$)
Generalized parton distributions of the proton from lattice QCD
Constantia Alexandrou, Krzysztof Cichy, Martha Constantinou, Kyriakos Hadjiyiannakou, Karl Jansen, Aurora Scapellatod,∗ and Fernanda Steffens f Department of Physics, Temple University, Philadelphia,