Self-Renormalization of Quasi-Light-Front Correlators on the Lattice

Abstract

In applying large-momentum effective theory, renormalization of the Euclidean correlators in lattice regularization is a challenge due to linear divergences in the self-energy of Wilson lines. Based on lattice QCD matrix elements of the quasi-PDF operator at lattice spacing $a$= 0.03 fm $\sim$ 0.12 fm with clover and overlap valence quarks on staggered and domain-wall sea, we design a strategy to disentangle the divergent renormalization factors from finite physics matrix elements, which can be matched to a continuum scheme at short distance such as dimensional regularization and minimal subtraction. Our results indicate that the renormalization factors are universal in the hadron state matrix elements. Moreover, the physical matrix elements appear independent of the valence fermion formulations. These conclusions remain valid even with HYP smearing which reduces the statistical errors albeit reducing control of the renormalization procedure. Moreover, we find a large non-perturbative effect in the popular RI/MOM and ratio renormalization scheme, suggesting favor of the hybrid renormalization procedure proposed recently.

29 pages, 30 figures

References in corpus (16)

• Highly Improved Staggered Quarks on the Lattice, with Applications to Charm Physics
• Simulation of QCD with N_f=2+1 flavors of non-perturbatively improved Wilson fermions
• A Lattice Calculation of Parton Distributions
• A complete non-perturbative renormalization prescription for quasi-PDFs
• On the Renormalizability of Quasi Parton Distribution Functions
• Parton Distribution Function with Non-perturbative Renormalization from Lattice QCD
• Improved quasi parton distribution through Wilson line renormalization
• Collins-Soper Kernel for TMD Evolution from Lattice QCD
• Soft Factor Subtraction and Transverse Momentum Dependent Parton Distributions on Lattice
• Lattice-QCD Calculations of TMD Soft Function Through Large-Momentum Effective Theory
• Non-perturbative renormalization of quark bilinear operators and B_K using domain wall fermions
• Isovector parton distribution functions of the proton on a superfine lattice
• Parton distribution functions of ${\Delta }^{+}$ on the lattice
• Gluon distributions and their applications to Ioffe-time distributions
• Accelerating Lattice QCD Multigrid on GPUs Using Fine-Grained Parallelization
• Why is LaMET an effective field theory for partonic structure?

Cited by in corpus (38)

• Pion and Kaon Distribution Amplitudes from Lattice QCD
• Nonperturbative Determination of Collins-Soper Kernel from Quasi Transverse-Momentum Dependent Wave Functions
• Lattice QCD Determination of the Bjorken-$x$ Dependence of Parton Distribution Functions at Next-to-next-to-leading Order
• Continuum-extrapolated NNLO Valence PDF of Pion at the Physical Point
• Quantum algorithms for transport coefficients in gauge theories
• Transversity GPDs of the proton from lattice QCD
• Lattice Calculation of the Intrinsic Soft Function and the Collins-Soper Kernel
• Resumming Quark's Longitudinal Momentum Logarithms in LaMET Expansion of Lattice PDFs
• Leading Power Accuracy in Lattice Calculations of Parton Distributions
• Flavor decomposition of the nucleon unpolarized, helicity and transversity parton distribution functions from lattice QCD simulations
• Precision Control in Lattice Calculation of $x$-dependent Pion Distribution Amplitude
• Renormalization of transverse-momentum-dependent parton distribution on the lattice
• Parton distribution functions beyond leading twist from lattice QCD: The $h_L(x)$ case
• RI/MOM renormalization of the quasi-PDF in lattice regularization
• Light-cone distribution amplitudes of a light baryon in large-momentum effective theory
• Real Time Quarkonium Transport Coefficients in Open Quantum Systems from Euclidean QCD
• Continuum limit of parton distribution functions from the pseudo-distribution approach on the lattice
• Overview of lattice calculations of the $x$-dependence of PDFs, GPDs and TMDs
• Lattice QCD calculation of the pion distribution amplitude with domain wall fermions at physical pion mass
• Pion Valence Quark Distribution at Physical Pion mass of $N_f=2+1+1$ Lattice QCD
• Lattice QCD Calculation of $x$-dependent Meson Distribution Amplitudes at Physical Pion Mass with Threshold Logarithm Resummation
• Renormalization and Mixing of Staple-Shaped Wilson Line Operators on the Lattice Revisited
• One-Loop Hybrid Renormalization Matching Kernels for Quasi-Parton Distributions
• Systematic Improvement of $x$-dependent Unpolarized Nucleon Generalized Parton Distribution in Lattice-QCD Calculation
• Non-singlet quark helicity PDFs of the nucleon from pseudo-distributions
• Lightcone and quasi distribution amplitudes for light octet and decuplet baryons
• Lattice results for the longitudinal spin structure and color forces on quarks in a nucleon
• Generalized parton distributions from the pseudo-distribution approach on the lattice
• Nucleon Helicity Parton Distribution Function in the Continuum Limit with Self-Renormalization
• Theoretical tools for neutrino scattering: interplay between lattice QCD, EFTs, nuclear physics, phenomenology, and neutrino event generators
• Three-dimensional Imaging of Pion using Lattice QCD: Generalized Parton Distributions
• Light Cone Distribution Amplitude for the $\Lambda$ Baryon from Lattice QCD
• Mapping Parton Distributions of Hadrons with Lattice QCD
• Polarized and unpolarized gluon PDFs: generative machine learning applications for lattice QCD matrix elements at short distance and large momentum
• Non-local Nucleon Matrix Elements in the Rest Frame
• Large-Momentum Effective Theory's Asymptotic Extrapolation vs the Inverse Problem
• The Continuum and Leading Twist Limits of Parton Distribution Functions in Lattice QCD
• Renormalon effect of quasi-PDF in gradient flow formalism