Nucleon Helicity Generalized Parton Distribution at Physical Pion Mass from Lattice QCD

Abstract

The generalized parton distributions (GPDs) offer a window on three-dimensional imaging of the nucleon, providing understanding of how the fundamental properties of the nucleon, such as its mass and spin, arise from the underlying quark and gluon degrees of freedom. In this work, we present the first lattice calculation of the nucleon isovector helicity GPD at physical pion mass, using an $a\approx 0.09$ fm lattice ensemble with 2+1+1 flavors of highly improved staggered quarks generated by MILC Collaboration. We perform the GPD calculation in Breit frame using averaged nucleon boost momentum $P_z\approx 2.2$ GeV with nonzero momentum transfers in $[0.2,1.0]{\text{ GeV}}^2$. Nonperturbative renormalization in RI/MOM scheme is used to obtain the quasi-distribution before matching to the lightcone GPDs. The three-dimensional distribution $\tilde{H}(x,Q^2)$ is presented, along with the three-dimensional nucleon tomography and impact-parameter--dependent distribution for selected Bjorken $x$ at $\mu =3$ GeV in $\overline{\text{MS}}$ scheme.

9 pages, 6 figures

References in corpus (13)

• Highly Improved Staggered Quarks on the Lattice, with Applications to Charm Physics
• Exploring hadrons' partonic structure using ab initio lattice QCD calculations
• Exclusive processes in position space and the pion distribution amplitude
• A Lattice Calculation of Parton Distributions
• A complete non-perturbative renormalization prescription for quasi-PDFs
• Adaptive multigrid algorithm for the lattice Wilson-Dirac operator
• Pion Valence Quark Distribution from Matrix Element Calculated in Lattice QCD
• Parton Distribution Function with Non-perturbative Renormalization from Lattice QCD
• More On Large-Momentum Effective Theory Approach to Parton Physics
• Nucleon axial and pseudoscalar form factors from lattice QCD at the physical point
• Gluon distributions and their applications to Ioffe-time distributions
• Lattice Nucleon Isovector Unpolarized Parton Distribution in the Physical-Continuum Limit
• A Preliminary Determination of the Second Mellin Moment of the Pion's Distribution Amplitude Using the Heavy Quark Operator Product Expansion

Cited by in corpus (4)

• Generalized parton distributions through universal moment parameterization: zero skewness case
• Generalized parton distributions through universal moment parameterization: non-zero skewness case
• Pion Valence-Quark Generalized Parton Distribution at Physical Pion Mass
• Pion Valence Quark Distribution at Physical Pion mass of $N_f=2+1+1$ Lattice QCD