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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Scaling limit of deeply virtual Compton scattering
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abstract
I outline a perturbative QCD approach to the analysis of the deeply virtual Compton scattering process $\gamma^* p \to \gamma p'$ in the limit of vanishing momentum transfer $t= (p' - p)^2$. The DVCS amplitude in this limit exhibits a scaling behaviour described by a two-argument distributions $F(x,y)$ which specify the fractions of the initial momentum $p$ and the momentum transfer $r \equiv p'-p$ carried by the constituents of the nucleon.The kernel $R(x,y;\xi,\eta)$ governing the evolution of the non-forward distributions $F(x,y)$ has a remarkable property: it produces the GLAPD evolution kernel $P(x/\xi)$ when integrated over $y$ and reduces to the Brodsky-Lepage evolution kernel $V(y,\eta)$ after the $x$-integration. This property is used to construct the solution of the one-loop evolution equation for the flavour non-singlet part of the non-forward quark distribution.
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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|}.
Calculations of di-meson photoproduction amplitudes at leading order show cross sections up to 100 times larger than single-meson cases, enabling better GPD extraction.
Holographic fixed-j DDVCS amplitude structurally matches pQCD ±-basis Wilson coefficients via open/closed string channels and Gauss hypergeometric kernel at a single matching scale.
Holographic QCD achieves exact fixed-scale matching of the hadronic current-current correlator to the singlet conformal OPE Wilson coefficients in perturbative QCD via a factorized Compton amplitude with a Gauss hypergeometric kernel.
Replacing the rapidity argument of the dipole amplitude with ln min{1/|x|, 1/|ξ|} and refining initial conditions for non-linear evolution can eliminate two R-factors in small-x shockwave calculations.
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.
The EIC Yellow Report specifies the science goals, required detector capabilities, and technology concepts needed to realize a high-luminosity electron-ion collider program.
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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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Unpolarized GPDs at small $x$ and non-zero skewness
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|}.
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Exclusive photoproduction of a di-meson pair with large invariant mass
Calculations of di-meson photoproduction amplitudes at leading order show cross sections up to 100 times larger than single-meson cases, enabling better GPD extraction.
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Holographic Open/Closed Exchange in Double Deeply Virtual Compton Scattering: Fixed--$j$ Structural Matching to the $\pm$-Basis Wilson Coefficients
Holographic fixed-j DDVCS amplitude structurally matches pQCD ±-basis Wilson coefficients via open/closed string channels and Gauss hypergeometric kernel at a single matching scale.
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From Vacuum to Nucleon: Exact Fixed-Scale Matching of Holographic Current Correlators to QCD
Holographic QCD achieves exact fixed-scale matching of the hadronic current-current correlator to the singlet conformal OPE Wilson coefficients in perturbative QCD via a factorized Compton amplitude with a Gauss hypergeometric kernel.
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On the Two $R$-Factors in the Small-$x$ Shockwave Formalism
Replacing the rapidity argument of the dipole amplitude with ln min{1/|x|, 1/|ξ|} and refining initial conditions for non-linear evolution can eliminate two R-factors in small-x shockwave calculations.
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GTMDs, orbital angular momentum, and pretzelosity
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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Science Requirements and Detector Concepts for the Electron-Ion Collider: EIC Yellow Report
The EIC Yellow Report specifies the science goals, required detector capabilities, and technology concepts needed to realize a high-luminosity electron-ion collider program.