Lattice QCD pseudo-distributions at m_π=358 MeV are inverted via multidimensional Gaussian process regression to reconstruct the full kinematic dependence of GPDs H^{u-d} and E^{u-d} while directly extracting double distributions.
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Asymmetric Gluon Distributions and Hard Diffractive Electroproduction
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abstract
The ``asymmetric'' matrix element <p-r|G...G|p> that appears in the pQCD description of hard diffractive electroproduction does not coincide with that defining the gluon distribution function f_g(x). I outline a pQCD formalism based on a concept of the double distribution F_g(x,y), which specifies the fractions xp, yr, (1-y)r of the initial proton momentum p and the momentum transfer r, resp., carried by the gluons. For $t \equiv r^2 =0$, r is proportional to p: $r = \zeta p$, and it is convenient to parameterize the matrix element <p-r|G...G|p> by an asymmetric distribution function ${\cal F}_{\zeta}^g (X)$ depending on the total fractions $X \equiv x+y \zeta$ and $X-\zeta = x- (1-y) \zeta$ of the initial hadron momentum p carried by the gluons.I formulate evolution equations for ${\cal F}_{\zeta}^g (X)$, study some of their general properties and discuss the relationship between ${\cal F}_{\zeta}^g (X)$, F_g(x,y) and f_g(x).
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Collinear factorization amplitudes exactly reproduce the large-Q² expansion of CGC amplitudes for inclusive DIS, DVCS, and DVMP at the amplitude level.
Unpolarized GPDs and GTMDs at small x with non-zero skewness are expressed via the dipole amplitude N and odderon O with modified rapidity Y = ln min{1/|x|, 1/|ξ|}.
Anomaly-induced dilaton-like corrections in the hard kernel significantly modify pion GFFs at large Q^{2} within a factorization approach using Sudakov resummation and a Gaussian TMD wave function.
Computes LO amplitudes for di-meson photoproduction channels sensitive to quark GPDs and reports high cross sections suitable for GPD studies at JLab energies.
Fixed-j holographic DDVCS and DVCS structurally match the singlet conformal-OPE Wilson-kernel family of QCD via open- and closed-string Witten vertices.
A vacuum-normalized holographic photon profile in a fixed-j Witten diagram reproduces the QCD conformal hard kernel for DVCS/DDVCS, with the Mellin exponent fixed by z-power counting.
In QCD factorization, the pion trace anomaly cancels in A_π(Q²) but is important in D_π and dominates the TJJ contribution to the trace form factor, refining the hierarchy versus lattice data.
Nucleon EM form factors computed in instanton vacuum model with parameters fixed by saddle-point equation yield proton charge radius 0.841 fm matching muonic hydrogen and good agreement on Q2 dependence of ratios.
Gravitational form factors of pion and kaon are computed in BLFQ; A(Q^2) agrees with lattice QCD while D(Q^2) is enhanced at low Q^2 due to small-x and zero-mode sensitivity in the truncated model.
In the bag model, GTMD calculations are consistent, orbital angular momentum is tied to F_{1,4}^q through the Ji sum rule, and a deeper link to pretzelosity TMD is established.
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Reconstructing the full kinematic dependence of GPDs from pseudo-distributions
Lattice QCD pseudo-distributions at m_π=358 MeV are inverted via multidimensional Gaussian process regression to reconstruct the full kinematic dependence of GPDs H^{u-d} and E^{u-d} while directly extracting double distributions.
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Matching collinear factorization with color-glass condensate for inclusive and exclusive deep inelastic scattering
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Unpolarized GPDs at small $x$ and non-zero skewness
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The Gravitational Form Factor of the Pion in Perturbative QCD with a Dilaton Interaction
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Nucleon EM form factors computed in instanton vacuum model with parameters fixed by saddle-point equation yield proton charge radius 0.841 fm matching muonic hydrogen and good agreement on Q2 dependence of ratios.
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GTMDs, orbital angular momentum, and pretzelosity
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