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In deeply virtual Compton scattering (DVCS) it is found that in some kinematics angular momentum is not conserved if the amplitudes are calculated in terms of widely used reduced operators. Consequently, those kinematics will lead to the…

High Energy Physics - Phenomenology · Physics 2010-07-19 Bernard L. G. Bakker , Chueng-Ryong Ji

We have calculated the NLO corrections to the twist-2 part of the deeply-virtual Compton scattering amplitude. Our results for the transverse and antisymmetric parts agree with recent calculations by Ji and Osborne and by Belitsky and…

High Energy Physics - Phenomenology · Physics 2009-10-30 L. Mankiewicz , G. Piller , E. Stein , M. Vänttinen , T. Weigl

We analyze the $1/\theta$ and 1/N expansions of the Wilson loop averages $<W(C)>_{U_\theta (N)}$ in the two-dimensional noncommutative $U_\theta (N)$ gauge theory with the parameter of noncommutativity $\theta$. For a generic rectangular…

High Energy Physics - Theory · Physics 2008-11-26 Jan Ambjorn , Andrei Dubin , Yuri Makeenko

We show that the Fourier transform of the Deeply Virtual Compton Scattering (DVCS) amplitude with respect to the skewness variable $\zeta$ at fixed invariant momentum transfer squared $t$ provides a unique way to visualize the structure of…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. J. Brodsky , D. Chakrabarti , A. Harindranath , A. Mukherjee , J. P. Vary

The evolution kernels that govern the scale dependence of the generalized parton distributions are invariant under transformations of the $\mathrm{SL}(2,\mathrm R)$ collinear subgroup of the conformal group. Beyond one loop the symmetry…

High Energy Physics - Phenomenology · Physics 2024-04-01 Yao Ji , Alexander Manashov , Sven-Olaf Moch

We derive an all order resummation formula for the deeply virtual Compton scattering (DVCS) amplitude, which takes into account soft gluon exchanges in the non-singlet quark coefficient function. We identify the ladder diagrams responsible…

High Energy Physics - Phenomenology · Physics 2012-06-18 T. Altinoluk , B. Pire , L. Szymanowski , S. Wallon

We present a systematic method for deriving partial-wave unitarity bounds on Wilson coefficients of higher-dimensional operators in effective field theories involving more than four fields, which naturally appear in tree-level 2-to-$N$…

High Energy Physics - Phenomenology · Physics 2026-02-06 Céline Degrande , Hao-Lin Li , Ling-Xiao Xu

In the asymptotic limit $Q^2 \gg m^2$, the non-power corrections to the heavy flavour Wilson coefficients in deep--inelastic scattering are given in terms of massless Wilson coeffcients and massive operator matrix elements. We start…

High Energy Physics - Phenomenology · Physics 2008-12-19 I. Bierenbaum , J. Blümlein , S. Klein

First, we consider generalized wave and scattering operators and derive modifications of commutation relations (between scattering operators and unperturbed operators) when the corresponding deviation factors behave as $\exp\{i t {\mathcal…

Mathematical Physics · Physics 2026-04-14 Alexander Sakhnovich , Lev Sakhnovich

We derive a novel two-component generalization of the nonlinear variational wave equation as a model for the director field of a nematic liquid crystal with a variable order parameter. The two-component nonlinear variational wave equation…

Analysis of PDEs · Mathematics 2021-09-08 Peder Aursand , Anders Nordli

We calculate the cross section of the deeply virtual Compton scattering at large energies and intermediate momentum transfers.

High Energy Physics - Phenomenology · Physics 2008-11-26 I. Balitsky , E. Kuchina

The handbag contribution to Compton scattering at moderately large momentum transfer factorises into parton-photon subprocess amplitudes and new form factors representing 1/x-moments of skewed parton distributions. A detailed…

High Energy Physics - Phenomenology · Physics 2009-10-31 M. Diehl , T. Feldmann , R. Jakob , P. Kroll

We calculate the one-loop quark box diagrams relevant to polarized and unpolarized Deeply Virtual Compton Scattering by introducing an off-forward momentum $l^\mu$ as an infrared regulator. This regularization approach allows us to reveal…

High Energy Physics - Phenomenology · Physics 2023-08-30 Shohini Bhattacharya , Yoshitaka Hatta , Werner Vogelsang

A generalization of Wilson line operators at subleading power in the soft expansion has been recently introduced as an efficient building block of gravitational scattering amplitudes for non-spinning objects. The classical limit in this…

High Energy Physics - Theory · Physics 2024-12-23 Domenico Bonocore , Anna Kulesza , Johannes Pirsch

A likelihood analysis of the observables in deeply virtual exclusive photoproduction off a proton target, $ep \rightarrow e' p' \gamma'$, is presented. Two processes contribute to the reaction: deeply virtual Compton scattering, where the…

The factorization of the amplitude for the deeply virtual Compton scattering (DVCS) process gamma*(Q) gamma -> gamma gamma at high Q2 is demonstrated in two distinct kinematical domains, allowing to define the photon generalized parton…

High Energy Physics - Phenomenology · Physics 2009-01-14 M. El Beiyad , S. Friot , B. Pire , L. Szymanowski , S. Wallon

We consider elastic quark-quark scattering at high energy with fixed momentum transfer $t$ and perform factorization of soft-gluon exchanges into a vacuum expectation value of Wilson lines. Taking into account nonperturbative corrections…

High Energy Physics - Phenomenology · Physics 2009-10-28 Irina A. Korchemskaya

The not necessarily unitary evolution operator of a finite dimensional quantum system is studied with the help of a projection operators technique. Applying this approach to the Schr\"odinger equation allows the derivation of an alternative…

Quantum Physics · Physics 2018-08-08 V. Semin , F. Petruccione

We give predictions for the leading order amplitudes for deeply virtual Compton scattering and hard meson electroproduction reactions at large Q^2 in the valence region in terms of skewed quark distributions. We give first estimates for the…

High Energy Physics - Phenomenology · Physics 2016-09-06 M. Vanderhaeghen , P. A. M. Guichon , M. Guidal

The forward doubly-virtual Compton scattering (VVCS) off the nucleon contains a wealth of information on nucleon structure, relevant to the calculation of the two-photon-exchange effects in atomic spectroscopy and electron scattering. We…

High Energy Physics - Phenomenology · Physics 2020-07-15 Jose Manuel Alarcón , Franziska Hagelstein , Vadim Lensky , Vladimir Pascalutsa