Distillation at High-Momentum

Abstract

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 smearing algorithms are commonly used tools to improve the statistical quality of hadronic $n$-point functions, provided operator momenta are small. The momentum smearing algorithm of Bali et al. extends the range of momenta that are cleanly accessible, and has facilitated countless novel lattice calculations. Momentum smearing has, however, not been explicitly demonstrated within the framework of distillation. In this work we extend the momentum-smearing idea, by exploring a few modifications to the distillation framework. Together with enhanced time slice sampling and expanded operator bases engendered by distillation, we find ground-state nucleon energies can be extracted reliably for $\left|\vec{p}\right|\lesssim 3\text{ GeV}$ and matrix elements featuring a large momentum dependence can be resolved.

arXiv comment19 pages, 30 figures

References in corpus (46)

• The Chroma Software System for Lattice QCD
• Parton Physics on Euclidean Lattice
• Analytic Smearing of SU(3) Link Variables in Lattice QCD
• Solving Lattice QCD systems of equations using mixed precision solvers on GPUs
• Excited state baryon spectroscopy from lattice QCD
• A novel quark-field creation operator construction for hadronic physics in lattice QCD
• Quasi-PDFs, momentum distributions and pseudo-PDFs
• Excited and exotic charmonium spectroscopy from lattice QCD
• Toward the excited meson spectrum of dynamical QCD
• Exploring hadrons' partonic structure using ab initio lattice QCD calculations
• A percent-level determination of the nucleon axial coupling from Quantum Chromodynamics
• Extracting Parton Distribution Functions from Lattice QCD Calculations
• Novel quark smearing for hadrons with high momenta in lattice QCD
• Toward the excited isoscalar meson spectrum from lattice QCD
• Isoscalar meson spectroscopy from lattice QCD
• Highly excited and exotic meson spectrum from dynamical lattice QCD
• Reconstruction of light-cone parton distribution functions from lattice QCD simulations at the physical point
• Pion Valence Quark Distribution from Matrix Element Calculated in Lattice QCD
• Pion Valence Structure from Ioffe Time Pseudo-Distributions
• Transversity parton distribution functions from lattice QCD
• Gauge-Invariant Smearing and Matrix Correlators using Wilson Fermions at beta=6.2
• Nucleon isovector couplings from $N_f=2$ lattice QCD
• Valence parton distribution function of pion from fine lattice
• Unpolarized and helicity generalized parton distributions of the proton within lattice QCD
• Light-cone distribution amplitudes of pseudoscalar mesons from lattice QCD
• Pion distribution amplitude from Euclidean correlation functions: Exploring universality and higher-twist effects
• Hybrid Baryons in QCD
• Axial Vector Form Factors from Lattice QCD that Satisfy the PCAC Relation
• Nucleon axial form factors using lattice QCD simulations with a physical value of the pion mass
• Proton Isovector Helicity Distribution on the Lattice at Physical Pion Mass
• Valence parton distribution of pion from lattice QCD: Approaching continuum
• Helicity operators for mesons in flight on the lattice
• Pion valence quark distribution from current-current correlation in lattice QCD
• Gluon Quasi-PDF From Lattice QCD
• Parton Distribution Functions from Ioffe time pseudo-distributions
• Parton Distribution Functions from Ioffe Time Pseudodistributions from Lattice Calculations: Approaching the Physical Point
• Nucleon form factors on a large volume lattice near the physical point in 2+1 flavor QCD
• Nucleon axial charge and pion decay constant from two-flavor lattice QCD
• Angular Momentum on the Lattice: The Case of Non-Zero Linear Momentum
• Isovector charges of the nucleon from 2+1-flavor QCD with clover fermions
• Controlling Excited-State Contamination in Nucleon Matrix Elements
• $B_s\to K\ell \nu$ decay from lattice QCD
• Nucleon generalized form factors from two-flavor lattice QCD
• Lattice Calculation of Nucleon Isovector Axial Charge with Improved Currents
• Controlling Excited-State Contributions with Distillation in Lattice QCD Calculations of Nucleon Isovector Charges $g_S^{u-d}$, $g_A^{u-d}$, $g_T^{u-d}$
• Extraction of bare Form Factors for ${\mathrm{B}}_{\mathrm{s}}\to \mathrm{K}\ell \nu$ Decays in non-perturbative HQET

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• Large-Momentum Effective Theory
• 50 Years of Quantum Chromodynamics
• The Present and Future of QCD
• Toward Quantum Simulations of ${\mathbb{Z}}_2$ Gauge Theory Without State Preparation
• Towards the determination of the gluon helicity distribution in the nucleon from lattice quantum chromodynamics
• Overview of lattice calculations of the $x$-dependence of PDFs, GPDs and TMDs
• The Positive-Parity Baryon Spectrum and the Role of Hybrid Baryons
• Non-singlet quark helicity PDFs of the nucleon from pseudo-distributions
• The Continuum and Leading Twist Limits of Parton Distribution Functions in Lattice QCD
• Towards High-Precision Parton Distributions From Lattice QCD via Distillation
• The transversity parton distribution function of the nucleon using the pseudo-distribution approach
• Accessing the Gluon Momentum Fraction of Nucleons through the Gradient Flow
• Unpolarized gluon distribution in the nucleon from lattice quantum chromodynamics