Conformal moments of the two-loop DVCS coefficient functions have been computed with a new technique.
Towards a fitting procedure for deeply virtual Compton scattering at next-to-leading order and beyond
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abstract
Combining dispersion and operator product expansion techniques, we derive the conformal partial wave decomposition of the virtual Compton scattering amplitude in terms of complex conformal spin to twist-two accuracy. The perturbation theory predictions for the deeply virtual Compton scattering (DVCS) amplitude are presented in next-to-leading order for both conformal and modified minimal subtraction scheme. Within a conformal subtraction scheme, where we exploit predictive power of conformal symmetry, the radiative corrections are presented up to next-to-next-to-leading order accuracy. Here, because of the trace anomaly, the mixing of conformal moments of generalized parton distributions (GPD) at the three-loop level remains unknown. Within a new proposed parameterization for GPDs, we then study the convergence of perturbation theory and demonstrate that our formalism is suitable for a fitting procedure of DVCS observables.
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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.
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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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.