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Deep-inelastic scattering and the operator product expansion in lattice QCD
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abstract
We discuss the determination of deep-inelastic hadron structure in lattice QCD. By using a fictitious heavy quark, direct calculations of the Compton scattering tensor can be performed in Euclidean space that allow the extraction of the moments of structure functions. This overcomes issues of operator mixing and renormalisation that have so far prohibited lattice computations of higher moments. This approach is especially suitable for the study of the twist-two contributions to isovector quark distributions, which is practical with current computing resources. While we focus on the isovector unpolarised distribution, our method is equally applicable to other quark distributions and to generalised parton distributions. By looking at matrix elements such as $<\pi^\pm| T [V^\mu(x) A^{\nu}(0)]|0>$ (where $V^\mu$ and $A^\nu$ are vector and axial-vector heavy-light currents) within the same formalism, moments of meson distribution amplitudes can also be extracted.
Forward citations
Cited by 13 Pith papers
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Parton physics from a heavy-quark operator product expansion: Lattice QCD calculation of the fourth moment of the pion distribution amplitude
The fourth Mellin moment of the pion distribution amplitude is determined in the continuum limit for the first time in quenched QCD, giving <ξ^4> = 0.039(28)(11) at μ = 2 GeV.
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Resummation for Lattice QCD Calculation of Generalized Parton Distributions at Nonzero Skewness
A threshold factorization and resummation scheme for quasi-GPD matching in LaMET is derived and shown to be self-consistent on a GPD model.
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Elastic and resonance structures of the nucleon from hadronic tensor in lattice QCD: implications for neutrino-nucleon scattering and hadron physics
Lattice QCD computation of hadronic tensor yields consistent nucleon Sachs electric form factor and extracts transition form factors to the Roper resonance region for inclusive cross sections.
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Mellin Moments of the Unpolarized Gluon PDF in the Proton from Nonlocal Operators in Lattice QCD
Lattice QCD extracts the ratio of the third to first Mellin moment of the gluon PDF at 2 GeV from nonlocal operators on an Nf=2+1+1 ensemble.
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A Unified Neural-Network Framework for Nucleon Imaging from Numerical Simulations of QCD
One neural network simultaneously fits LaMET and short-distance-expansion lattice data to reconstruct light-cone PDFs and zero-skewness GPDs of the nucleon.
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Gradient flow for parton distribution functions: first application to the pion
Pion PDF moment ratios up to <x^5> were extracted from lattice QCD with gradient flow and agree with phenomenological fits.
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$B$-meson light-cone distribution amplitude from the Euclidean quantity
The paper derives a hard-collinear factorization formula with a one-loop matching coefficient connecting the B-meson quasi-distribution amplitude to the physical light-cone distribution amplitude.
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Parton Distribution Functions from Ioffe time pseudo-distributions
A dynamical lattice QCD calculation using Ioffe-time pseudo-distributions produces an isovector nucleon valence PDF and first two moments at M_pi ~ 400 MeV, with estimates of lattice-spacing and finite-volume systematics.
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Ill-Posedness in Limited Discrete Fourier Inversion and Regularization for Quasi Distributions in LaMET
Tikhonov regularization with L-curve parameter choice stabilizes the ill-conditioned limited inverse Fourier transform in LaMET and recovers pion quasi distribution amplitudes consistent with physics-driven lambda-ext...
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Parton distribution functions of $\Delta^+$ on the lattice
Renormalized matrix elements for the unpolarized quasi-PDF of the Δ⁺ are computed on two N_f=2+1+1 twisted mass lattice ensembles with pion masses 250 and 330 MeV using momentum smearing.
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Kinematic enhancement for nucleon interpolators
Kinematically enhanced nucleon interpolators improve precision of renormalized quark matrix elements by an order of magnitude at 2.5 GeV with no observed lattice spacing dependence on CLS ensembles.
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Hadron Structure from lattice QCD in the context of the Electron-Ion Collider
Lattice QCD now delivers high-precision results on hadron internal structure that directly support the scientific program of the Electron-Ion Collider.
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Mapping Parton Distributions of Hadrons with Lattice QCD
A review of lattice QCD methods and results for x-dependent parton distribution functions and generalized parton distributions of hadrons.
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