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The off-cone Compton operator of twist-2 is Fourier transformed using a general procedure which is applicable, in principle, to any QCD tensor operator of definite (geometric) twist. That method allows, after taking the non-forward matrix…

High Energy Physics - Phenomenology · Physics 2009-11-10 B. Geyer , D. Robaschik , J. Eilers

We describe the twist-2 contributions to inclusive unpolarized and polarized deep-inelastic diffractive scattering in an operator approach. The representation refers to the observed large rapidity gap but does not require reference to a…

High Energy Physics - Phenomenology · Physics 2007-06-19 J. Blümlein , B. Geyer , D. Robaschik

Using some techniques of conformal field theories, we find a closed expression for the contribution of leading twist operators and their descendants, obtained by adding total derivatives, to the operator product expansion (OPE) of two…

High Energy Physics - Phenomenology · Physics 2020-12-09 V. M. Braun , Yao Ji , A. N. Manashov

We describe a systematic approach [1] to the calculation of kinematic corrections ~ t/Q^2, m^2/Q^2 in hard exclusive processes which involve momentum transfer from the initial to the final hadron state. As an example, the complete…

High Energy Physics - Phenomenology · Physics 2015-06-03 V. M. Braun , A. N. Manashov

The quantum field theoretic treatment of inclusive deep--inelastic diffractive scattering given in a previous paper \cite{BGR2006} is discussed in detail using an equivalent formulation with the aim to derive a representation suitable for…

High Energy Physics - Phenomenology · Physics 2009-07-22 J. Blümlein , D. Robaschik , B. Geyer

Using the formalism developed in [1,2] we carry out the first complete calculation of kinematic power corrections to the helicity amplitudes of deeply-virtual Compton scattering to the twist-four accuracy for a study case of a…

High Energy Physics - Phenomenology · Physics 2014-10-21 V. M. Braun , A. N. Manashov , B. Pirnay

We calculate the volume corrections to the two-pion matrix element of twist two operators.

High Energy Physics - Lattice · Physics 2007-07-02 A. Manashov , A. Schafer

We carry out the first complete calculation of kinematic power corrections $\sim t/Q^2$ and $\sim m^2/Q^2$ to several key observables in Deeply Virtual Compton Scattering. The issue of convention dependence of the leading twist…

High Energy Physics - Phenomenology · Physics 2014-04-23 Vladimir M. Braun , Alexander N. Manashov , Dieter Mueller , Bjoern M. Pirnay

Power corrections for virtual Compton scattering at leading twist are etermined at operator level. From the complete off-cone representation of the twist-2 Compton operator integral representations for the trace, antisymmetric and symmetric…

High Energy Physics - Phenomenology · Physics 2009-11-10 B. Geyer , D. Robaschik

A group theoretical procedure for parametrizing non-forward matrix elements of non-local QCD operators is introduced. The related (two-variable) distribution amplitudes are given as sum over power corrections of the double distributions.…

High Energy Physics - Phenomenology · Physics 2009-11-07 Bodo Geyer , Markus Lazar , Dieter Robaschik

The target mass corrections are calculated for all structure functions of neutral and charged current deep inelastic scattering in lowest order in the coupling constant. Representations of the correction to the twist--2 and twist--3…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. Blümlein , A. Tkabladze

Twisted photons are not plane waves, but superpositions of plane waves with a defined projection hbar m of the orbital angular momentum onto the propagation axis (m is integer and may attain values m >> 1). Here, we describe in detail the…

Accelerator Physics · Physics 2012-06-29 U. D. Jentschura , V. G. Serbo

We calculate the spin-averaged amplitude for doubly virtual forward Compton scattering off nucleons in the framework of manifestly Lorentz invariant baryon chiral perturbation theory at complete one-loop order $O(p^4)$. The calculations are…

High Energy Physics - Lattice · Physics 2021-02-24 J. Lozano , A. Agadjanov , J. Gegelia , U. -G. Meißner , A. Rusetsky

Target mass corrections to the twist-4 terms $\tilde f_2^{p,n,d}$ as well as to the leading-twist $\tilde a_2$ are discussed.

High Energy Physics - Phenomenology · Physics 2008-12-18 Y. B. Dong

We compute the amplitude of deeply virtual Compton scattering (DVCS) using the calculus of QCD string operators in coordinate representation. To restore the electromagnetic gauge invariance (transversality) of the twist-2 amplitude we…

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

We calculate the kinematic twist-3 and 4 corrections to the leading order amplitude of timelike Compton scattering (TCS) on a (pseudo-)scalar target, in the recently developed framework based on the conformal operator-product expansion.…

High Energy Physics - Phenomenology · Physics 2025-03-05 V. Martinez-Fernandez , B. Pire , P. Sznajder , J. Wagner

We calculate the one-loop corrections to a general off-forward deeply-virtual Compton process at leading twist for both parton helicity-dependent and independent cases. We show that the infrared divergences can be factorized entirely into…

High Energy Physics - Phenomenology · Physics 2009-10-31 Xiangdong Ji , Jonathan Osborne

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

Making use of conformal symmetry of large-$n_f$ QCD in $d=4-2\epsilon$ dimensions at the Wilson-Fischer fixed point, we calculate the two-loop coefficient functions in the operator product expansion of two electromagnetic currents in…

High Energy Physics - Phenomenology · Physics 2024-11-25 Vladimir M. Braun , Hua-Yu Jiang , Alexander N. Manashov , Andreas von Manteuffel

We develop a general approach to the calculation of kinematic corrections ~t/Q^2, ~m^2/Q^2 in hard processes which involve momentum transfer from the initial to the final hadron state. As the principal result, the complete expression is…

High Energy Physics - Phenomenology · Physics 2014-10-21 V. M. Braun , A. N. Manashov
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