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We apply the coordinate-space method by Luescher and Weisz to the computation of two-loop diagrams in full QCD with Wilson fermions on the lattice. The essential ingredient is the high-precision determination of mixed fermionic-bosonic…

High Energy Physics - Lattice · Physics 2009-10-30 Stefano Capitani , Sergio Caracciolo , Andrea Pelissetto , Giancarlo Rossi

Based on the two-gluon-exchange dynamical mechanism for deeply inelastic scattering at low x ~= Q^2/W^2 <<1, we stress the intimate connection between the total virtual photoabsorption cross section, deeply virtual Compton scattering and…

High Energy Physics - Phenomenology · Physics 2014-11-17 Masaaki Kuroda , Dieter Schildknecht

A recently proposed method of calculating scalar two-loop propagator and vertex functions with massive particles is illustrated with simple examples. A double integral representation is derived with the example of a propagator function. An…

High Energy Physics - Phenomenology · Physics 2007-05-23 Andrzej Czarnecki

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

We compute the full three-loop coefficient functions for the structure functions F_2 and F_L in massless perturbative QCD. The results for F_L complete the next-to-next-to-leading order description of unpolarized electromagnetic…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. A. M. Vermaseren , A. Vogt , S. Moch

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

We report on a calculation to 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 gives results that are…

High Energy Physics - Phenomenology · Physics 2008-11-26 Asmita Mukherjee

We compute the Schroedinger functional (SF) for the case of lattice QCD with Wilson fermions (with and without SW improvement) at two-loop order in lattice perturbation theory. This allows us to extract the three-loop beta-function in the…

High Energy Physics - Lattice · Physics 2008-11-26 Achim Bode , Peter Weisz , Ulli Wolff

We calculate the polarized massive two--loop pure singlet Wilson coefficient contributing to the structure functions $g_1(x,Q^2)$ analytically in the whole kinematic region. The Wilson coefficient contains Kummer--elliptic integrals. We…

High Energy Physics - Phenomenology · Physics 2019-10-23 J. Blümlein , C. G. Raab , K. Schönwald

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

We present a parameterization of the non-collinear (virtual) Compton scattering tensor in terms of form factors, in which the Lorentz tensor associated with each form factor possesses manifest electromagnetic gauge invariance. The main…

High Energy Physics - Phenomenology · Physics 2008-02-03 Wei Lu

A factorized Regge-pole model for deeply virtual Compton scattering is suggested. The use of an effective logarithmic Regge-Pomeron trajectory provides for the description of both ``soft'' (small $|t|$) and ``hard'' (large $|t|$) dynamics.…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Capua , S. Fazio , R. Fiore , L. Jenkovszky , F. Paccanoni

Radiative corrections to the cross sections of photon electroproduction and the single spin asymmetries induced by the interference between the Bethe Heitler and deep virtual Compton scattering amplitudes are calculated within the leading…

High Energy Physics - Phenomenology · Physics 2018-07-25 Igor Akushevich , Alexander Ilyichev

The conformal algebra provides powerful constraints, which guarantee that renormalized conformally covariant operators exist in the hypothetical conformal limit of the theory, where the $\beta$-function vanishes. Thus, in this limit also…

High Energy Physics - Phenomenology · Physics 2016-08-15 D. Müller

We develop a formalism for the resummation of target mass corrections in off-forward two-photon amplitudes given by a chronological product of electromagnetic currents, arising in e.g. deeply virtual Compton scattering. The method is based…

High Energy Physics - Phenomenology · Physics 2009-11-07 A. V. Belitsky , D. Müller

We consider different aspects of the virtual Compton amplitude in QCD on two examples: small-x physics accessible in the Regge regime and twist-3 approximation in the description of DVCS through the general parton distributions. Using this…

Nuclear Theory · Physics 2007-05-23 Elena Kuchina

We explore the deeply virtual Compton scattering process at NLO with the emphasis on the measurement of the tensor gluon skewed distributions. We recalculate the one-loop coefficient function and give two-loop results for anomalous…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. V. Belitsky , D. Müller

We calculate the two-loop vertex function for the crossed topology, and for arbitrary masses and external momenta. We derive a double integral representation, suitable for a numerical evaluation by a Gaussian quadrature. Real and imaginary…

High Energy Physics - Phenomenology · Physics 2009-10-28 A. Frink , U. Kilian , D. Kreimer

We accomplish for the first time the two-loop computation of the leading-twist contribution to the pion electromagnetic form factor by employing the effective field theory formalism rigorously. The next-to-next-to-leading-order…

High Energy Physics - Phenomenology · Physics 2024-11-07 Yao Ji , Bo-Xuan Shi , Jian Wang , Ye-Fan Wang , Yu-Ming Wang , Hui-Xin Yu

We compute the deeply virtual Compton scattering (DVCS) amplitude for forward and backward scattering in the asymptotic limit. Since this calculation does not assume ordering of the transverse momenta, it includes important logarithmic…

High Energy Physics - Phenomenology · Physics 2016-08-25 B. I. Ermolaev , F. I. Olness , A. G. Shuvaev