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In recent work, Hill and Paz apply the operator product expansion to forward doubly virtual Compton scattering. The resulting large-$Q^2$ form of the amplitude $W_1(0,Q^2)$ is compatible with the one we obtain by extrapolation of low-$Q^2$…

High Energy Physics - Phenomenology · Physics 2018-09-12 Michael C. Birse , Judith A. McGovern

In the framework of collinear QCD factorization, the leading twist scattering amplitudes for deeply virtual Compton scattering (DVCS) and timelike Compton scattering (TCS) are intimately related thanks to analytic properties of leading and…

High Energy Physics - Phenomenology · Physics 2020-03-18 O. Grocholski , H. Moutarde , B. Pire , P. Sznajder , J. Wagner

A quantum field theoretic treatment of the leading light-cone part of the virtual Compton amplitude is presented. The twist-decomposition of the operators is performed by a group-theoretic procedure respecting the Lorentz group O(3,1). The…

High Energy Physics - Phenomenology · Physics 2008-11-26 Johannes Blümlein , Bodo Geyer , Markus Lazar , Dieter Robaschik

Applications of perturbative QCD to deeply virtual Compton scattering and hard exclusive electroproduction processes require a generalization of usual parton distributions for the case when long-distance information is accumulated in…

High Energy Physics - Phenomenology · Physics 2014-11-17 A. V. Radyushkin

Evolution equations for leading twist operators in high orders of perturbation theory can be restored from the spectrum of anomalous dimensions and the calculation of the special conformal anomaly at one order less using conformal symmetry…

High Energy Physics - Phenomenology · Physics 2021-05-26 V. M. Braun , A. N. Manashov , S. Moch , M. Strohmaier

We study the virtual Compton amplitude in the generalized Bjorken region (q^2 -> Infinity, t small) in QCD by means of a light-cone expansion of the product of e.m. currents in string operators in coordinate space. Electromagnetic gauge…

High Energy Physics - Phenomenology · Physics 2014-11-17 A. V. Radyushkin , C. Weiss

We study the deeply virtual Compton scattering process with both twist-two and twist-three Compton form factors and present our cross-sections formulas with all polarization configurations. While the twist-three contributions are generally…

High Energy Physics - Phenomenology · Physics 2022-07-06 Yuxun Guo , Xiangdong Ji , Brandon Kriesten , Kyle Shiells

A systematic study is performed of the structure of the twist-2 contributions to the virtual Compton amplitude in deep-inelastic non-forward scattering for general spin states in the non-local light cone expansion. The gauge invariance is…

High Energy Physics - Phenomenology · Physics 2008-11-26 Johannes Blümlein , Dieter Robaschik

Deeply Virtual Compton Scattering in the near forward kinematic region is the golden access to Generalized Parton Distributions. We studied the O(alphaS) corrections to the scattering amplitude for both spacelike and timelike kinematics…

High Energy Physics - Phenomenology · Physics 2015-06-18 H. Moutarde , B. Pire , F. Sabatié , L. Szymanowski , J. Wagner

A leading twist expansion in terms of bi-local operators is proposed for the structure functions of deeply inelastic scattering near the elastic limit $x \to 1$, which is also applicable to a range of other processes. Operators of…

High Energy Physics - Phenomenology · Physics 2014-11-17 R. Akhoury , M. G. Sotiropoulos , G. Sterman

The anomalous dimensions of high-twist operators in deeply inelastic scattering ($\gamma_{2n}$) are calculated in the limit when the moment variable $N \rightarrow 1$ (or $x_B\rightarrow 0$) and at large $Q^2$ (the double logarithmic…

High Energy Physics - Phenomenology · Physics 2008-11-26 E. Laenen , E. Levin , A. G. Shuvaev

We compute non-perturbatively the evolution of the twist-2 operators corresponding to the average momentum of non-singlet quark densities. The calculation is based on a finite-size technique, using the Schr\"odinger Functional, in quenched…

High Energy Physics - Lattice · Physics 2009-11-10 A. Shindler , M. Guagnelli , K. Jansen , F. Palombi , R. Petronzio , I. Wetzorke

We investigate the spin-independent part of the virtual Compton scattering (VCS) amplitude off the nucleon within the framework of chiral perturbation theory. We perform a consistent calculation to third order in external momenta according…

Nuclear Theory · Physics 2009-10-30 Thomas R. Hemmert , Barry R. Holstein , Germar Knoechlein , Stefan Scherer

We investigate the Q^2 evolution of parton distributions at small x values, obtained in the case of flat initial conditions. The contributions of twist-two and (renormalon-type) higher-twist operators of the Wilson operator product…

High Energy Physics - Phenomenology · Physics 2015-06-25 A. V. Kotikov , G. Parente

We investigate the Q^2 evolution of parton distributions at small x values, obtained in the case of flat initial conditions. The contributions of twist-two and (renormalon-type) higher-twist operators of the Wilson operator product…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. V. Kotikov , G. Parente

The sub-leading power of the scattering amplitude for deeply-virtual Compton scattering (DVCS) off the nucleon contains leading-twist and twist-3 generalized parton distributions (GPDs). We point out that in DVCS, at twist-3 accuracy, one…

High Energy Physics - Phenomenology · Physics 2018-08-01 Fatma Aslan , Matthias Burkardt , Cédric Lorcé , Andreas Metz , Barbara Pasquini

We propose a new method for computing the renormalization functions, which is based on the ideas of operator product expansion and large momentum expansion. In this method, the renormalization $Z$-factors are determined by the ultraviolet…

High Energy Physics - Theory · Physics 2025-05-08 Rijun Huang , Qingjun Jin , Yi Li

Applications of perturbative QCD to deeply virtual Compton scattering and hard exclusive electroproduction processes require a generalization of the usual parton distributions for the case when long-distance information is accumulated in…

High Energy Physics - Phenomenology · Physics 2016-11-23 A. V. Radyushkin

Virtual Compton Scattering (VCS) at low transferred momenta to the proton ($t$) and sufficiently high c.m. energies ($s$) may be used to a) study $Q^2$--dependence of leading $t$--channel exchanges and b) look for onset of scaling behavior…

High Energy Physics - Phenomenology · Physics 2007-05-23 Andrei Afanasev

We study deeply virtual Compton scattering on a virtual pion that is emitted by a proton. Using a range of models for the generalized parton distributions of the pion, we evaluate the cross section, as well as the beam spin and beam charge…

High Energy Physics - Phenomenology · Physics 2008-12-18 Daniela Amrath , Markus Diehl , Jean-Philippe Lansberg