Lattice QCD evaluation of the Compton amplitude employing the Feynman-Hellmann theorem

Abstract

The forward Compton amplitude describes the process of virtual photon scattering from a hadron and provides an essential ingredient for the understanding of hadron structure. As a physical amplitude, the Compton tensor naturally includes all target mass corrections and higher twist effects at a fixed virtuality, $Q^2$. By making use of the second-order Feynman-Hellmann theorem, the nucleon Compton tensor is calculated in lattice QCD at an unphysical quark mass across a range of photon momenta $3\lesssim Q^2\lesssim 7$ GeV${}^2$. This allows for the $Q^2$ dependence of the low moments of the nucleon structure functions to be studied in a lattice calculation for the first time. The results demonstrate that a systematic investigation of power corrections and the approach to parton asymptotics is now within reach.

arXiv comment18 pages, 8 figures. Title has been changed due to the Editor's request. Version to appear in PRD

References in corpus (65)

• The Chroma Software System for Lattice QCD
• Parton Physics on Euclidean Lattice
• Renormalons
• Quasi-PDFs, momentum distributions and pseudo-PDFs
• Parton distributions and lattice QCD calculations: a community white paper
• Dispersion relations in real and virtual Compton scattering
• Exploring hadrons' partonic structure using ab initio lattice QCD calculations
• Flavor Structure of the Nucleon Sea from Lattice QCD
• Extracting Parton Distribution Functions from Lattice QCD Calculations
• Nucleon structure functions from lattice operator product expansion
• Exclusive processes in position space and the pion distribution amplitude
• A Lattice Calculation of Parton Distributions
• A guide to light-cone PDFs from Lattice QCD: an overview of approaches, techniques and results
• Origin of Difference between $\overline{d}$ and $\overline{u}$ Partons in the Nucleon
• A complete non-perturbative renormalization prescription for quasi-PDFs
• On the Renormalizability of Quasi Parton Distribution Functions
• Nonperturbative Renormalisation of Composite Operators in Lattice QCD
• Deep-inelastic scattering and the operator product expansion in lattice QCD
• Flavour blindness and patterns of flavour symmetry breaking in lattice simulations of up, down and strange quarks
• Quark-hadron duality in electron scattering
• Quark-Hadron Duality in Electron Scattering
• Nonperturbative renormalization of nonlocal quark bilinears for quasi-PDFs on the lattice using an auxiliary field
• Parton Distribution Function with Non-perturbative Renormalization from Lattice QCD
• Polarized and Unpolarized Nucleon Structure Functions from Lattice QCD
• Gauge-Invariant Smearing and Matrix Correlators using Wilson Fermions at beta=6.2
• From deep inelastic scattering to heavy-flavor semi-leptonic decays: Total rates into multi-hadron final states from lattice QCD
• Proton Isovector Helicity Distribution on the Lattice at Physical Pion Mass
• Power corrections and renormalons in parton quasi-distributions
• Lattice Operators for Moments of the Structure Functions and their Transformation under the Hypercubic Group
• Moments of Ioffe time parton distribution functions from non-local matrix elements
• Tuning the strange quark mass in lattice simulations
• Proton-proton fusion and tritium $\beta$-decay from lattice quantum chromodynamics
• Parton Degrees of Freedom from the Path-Integral Formalism
• On The Difficulty of Computing Higher-Twist Corrections
• First-principles calculation of electroweak box diagrams from lattice QCD
• Pion distribution amplitude from Euclidean correlation functions
• On the Feynman-Hellmann Theorem in Quantum Field Theory and the Calculation of Matrix Elements
• Electromagnetic form factors at large momenta from lattice QCD
• Double-$\beta$ Decay Matrix Elements from Lattice Quantum Chromodynamics
• Non-perturbative improvement of stout-smeared three flavour clover fermions
• A Lattice Study of the Glue in the Nucleon
• The isotensor axial polarisability and lattice QCD input for nuclear double-$\beta$ decay phenomenology
• Studying Hadronic Structure of the Photon in Lattice QCD
• Towards the nucleon hadronic tensor from lattice QCD
• The role of the Euclidean signature in lattice calculations of quasi-distributions and other non-local matrix elements
• Disconnected contributions to the spin of the nucleon
• Note on lattice regularization and equal-time correlators for parton distribution functions
• Finite-volume effects due to spatially non-local operators
• A Feynman-Hellmann approach to the spin structure of hadrons
• Magnetic properties of the nucleon in a uniform background field
• Renormalization of local quark-bilinear operators for Nf=3 flavors of SLiNC fermions
• Long-range electroweak amplitudes of single hadrons from Euclidean finite-volume correlation functions
• Wilson flow and scale setting from lattice QCD
• Flavour singlet physics in lattice QCD with background fields
• Parton distribution function for quarks in an s-channel approach
• An update on the BQCD Hybrid Monte Carlo program
• Toward a First-Principles Calculation of Electroweak Box Diagrams
• Inclusive semi-leptonic B meson decay structure functions from lattice QCD
• Sum rules across the unpolarized Compton processes involving generalized polarizabilities and moments of nucleon structure functions
• On the Implementation of General Background Electromagnetic Fields on a Periodic Hypercubic Lattice
• Higher-twist corrections to nucleon structure functions from lattice QCD
• A novel approach to nonperturbative renormalization of singlet and nonsinglet lattice operators
• Nucleon in a periodic magnetic field
• Towards a Non-Perturbative Calculation of DIS Wilson Coefficients
• Exploring the Nucleon Structure from First Principles of QCD

Cited by in corpus (24)

• Unpolarized and helicity generalized parton distributions of the proton within lattice QCD
• The x-dependence of hadronic parton distributions: A review on the progress of lattice QCD
• The proton structure in and out of muonic hydrogen
• Flavor non-singlet parton distribution functions from lattice QCD at physical quark masses via the pseudo-distribution approach
• Flavor decomposition for the proton helicity parton distribution functions
• Parton physics from a heavy-quark operator product expansion: Formalism and Wilson coefficients
• Generalised parton distributions from the off-forward Compton amplitude in lattice QCD
• One-Loop Hybrid Renormalization Matching Kernels for Quasi-Parton Distributions
• Lattice QCD constraints on the parton distribution functions of ${}^3\text{He}$
• Lattice QCD study of the elastic and transition form factors of charmed baryons
• Generalized parton distributions from the pseudo-distribution approach on the lattice
• Theoretical tools for neutrino scattering: interplay between lattice QCD, EFTs, nuclear physics, phenomenology, and neutrino event generators
• Towards fully non-perturbative computation of inelastic $\ell N$ scattering cross sections from lattice QCD
• Constraining beyond the Standard Model nucleon isovector charges
• The subtraction contribution to the muonic-hydrogen Lamb shift: a point for lattice QCD calculations of the polarizability effect
• Chiral Perturbation for Large Momentum Effective Field Theory
• Moments and power corrections of longitudinal and transverse proton structure functions from lattice QCD
• Extraction of the neutron F2 structure function from inclusive proton and deuteron deep-inelastic scattering data
• Finite volume corrections to forward Compton scattering off the nucleon
• Feynman--Hellmann approach to transition matrix elements and quasi-degenerate energy states
• Lattice QCD calculation of the Compton amplitude subtraction function
• Gross-Llewellyn Smith sum rule from lattice QCD
• One-loop Matching Factors for Singlet Quasi-Parton Distribution Functions in the Hybrid-Ratio Scheme
• Applications of flow models to the generation of correlated lattice QCD ensembles