Unravelling High-Energy Hadron Structures with Lattice QCD

Abstract

Parton distribution functions are key quantities for us to understand the hadronic structures in high-energy scattering, but they are difficult to calculate from lattice QCD. Recent years have seen fast development of the large-momentum effective theory which allows extraction of the $x$-dependence of parton distribution functions from a quasi-parton distribution function that can be directly calculated on lattice. The extraction is based on a factorization formula for the quasi-parton distribution function that has been derived rigorously in perturbation theory. A systematic procedure that includes renormalization, perturbative matching, and power corrections has been established to calculate parton distribution functions. Latest progress from lattice QCD has shown promising signs that it will become an effective tool for calculating parton physics.

28 pages, 5 figures. Corrected minor mistakes in Eqs.(27-28, 31-33, 35-36)

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Cited by in corpus (17)

• Large-Momentum Effective Theory
• Valence parton distribution function of pion from fine lattice
• Valence parton distribution of pion from lattice QCD: Approaching continuum
• Isovector parton distribution functions of the proton on a superfine lattice
• $B$-meson light-cone distribution amplitude from the Euclidean quantity
• Theory and applications of parton pseudodistributions
• Pion form factor and charge radius from Lattice QCD at physical point
• The role of zero-mode contributions in the matching for the twist-3 PDFs $e(x)$ and $h_L(x)$
• Unpolarized proton PDF at NNLO from lattice QCD with physical quark masses
• Exploring twist-2 GPDs through quasi-distributions in a diquark spectator model
• Light-cone distribution amplitudes of a light baryon in large-momentum effective theory
• Lightcone and quasi distribution amplitudes for light octet and decuplet baryons
• Quark distribution inside a pion in many-flavor (2 + 1)-dimensional QCD using lattice computations: UV listens to IR
• Towards studying the structural differences between the pion and its radial excitation
• Generalized quasi, Ioffe-time, and pseudo quark distributions of the pion in the Nambu--Jona-Lasinio model
• Large-Momentum Effective Theory's Asymptotic Extrapolation vs the Inverse Problem
• A model-independent framework for determining finite-volume effects of spatially nonlocal operators