Conformal moments of the two-loop DVCS coefficient functions have been computed with a new technique.
Complex conformal spin partial wave expansion of generalized parton distributions and distribution amplitudes
5 Pith papers cite this work. Polarity classification is still indexing.
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abstract
We introduce a new representation of generalized parton distributions and generalized distribution amplitudes that is based on the partial wave decomposition with respect to the complex collinear conformal spin. This decomposition leads us to a versatile parameterization of these non-perturbative functions in terms of conformal moments, which are measurable for integer value on the lattice. This new representation has several advantages: basic properties and crossing relations are automatically implemented, a rather flexible parameterization is possible, the numerical treatment of evolution is simple and analytic approximation of scattering amplitudes can be given. We demonstrate this for simple examples. In particular, phenomenological considerations indicate that the t-dependence of Mellin moments is governed by Regge trajectories. The new representation is vital to push the analysis of deeply virtual Compton scattering to next-to-next-to-leading order.
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The paper derives factorization of fixed-spin conformal moments of unpolarized gluon GTMDs into a universal staple-worldsheet soft factor and a target-dependent Witten amplitude, with UV/IR reductions and Reggeization via the holographic Pomeron.
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.
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.
citing papers explorer
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Conformal moments of the two-loop coefficient functions in DVCS
Conformal moments of the two-loop DVCS coefficient functions have been computed with a new technique.
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Gluon GTMD at strong coupling: fixed-spin saddle factorization and Reggeization
The paper derives factorization of fixed-spin conformal moments of unpolarized gluon GTMDs into a universal staple-worldsheet soft factor and a target-dependent Witten amplitude, with UV/IR reductions and Reggeization via the holographic Pomeron.
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Holographic Open/Closed Exchange in Double Deeply Virtual Compton Scattering: Fixed-$j$ Structural Matching to the $\pm$-Basis Wilson Kernels
Fixed-j holographic DDVCS and DVCS structurally match the singlet conformal-OPE Wilson-kernel family of QCD via open- and closed-string Witten vertices.
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From Vacuum to Nucleon: Fixed-$j$ Kernel Matching of Holographic Current Correlators to QCD
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.
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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.