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We present a fully analytic computation of the complete electron and photon structure functions, or QED lepton parton distribution functions (PDFs) up to two-loop order. Our computation is performed using modern techniques of reduction to…

High Energy Physics - Phenomenology · Physics 2025-09-23 Marvin Schnubel , Robert Szafron

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

A model for deeply virtual Compton scattering, based on analytical light-cone hadron wave functions is presented and studied at energies currently accessible at Jefferson Laboratory, DESY, and beyond. It is shown that perpendicular vector…

High Energy Physics - Phenomenology · Physics 2009-11-10 A. Gardestig , A. P. Szczepaniak , J. T. Londergan

I derive an all-order resummation formula for the logarithmically enhanced contributions proportional to $\frac{\alpha_s^n}{x \pm \xi} \log (\frac{\xi \pm x}{2\xi})^k$ in the quark coefficient function of deeply-virtual-Compton scattering…

High Energy Physics - Phenomenology · Physics 2023-03-22 Jakob Schoenleber

We present a new method of calculating scalar propagator and vertex functions in the two-loop approximation, for arbitrary masses of particles. It is based on a double integral representation, suitable for numerical evaluation. Real and…

High Energy Physics - Phenomenology · Physics 2007-05-23 Andrzej Czarnecki , Ulrich Kilian , Dirk Kreimer

Part of eikonal type contributions to $e\mu$ large-angle high-energy scattering cross section is considered in a quasi-elastic experimental set-up. Apart from virtual corrections we examine inelastic processes with emission of one and two…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. V. Bytev , E. A. Kuraev , B. G. Shaikhatdenov

We present the two-loop corrected operator matrix elements contributing to the scale evolution of the longitudinal spin structure function $g_1(x,Q^2)$ calculated up to finite terms which survive in the limit $\epsilon = N - 4 \to 0$. These…

High Energy Physics - Phenomenology · Physics 2009-10-31 Y. Matiounine , J. Smith , W. L. van Neerven

Spectral functions at finite temperature and two-loop order are investigated, for a medium consisting of massless particles. We consider them in the timelike and spacelike domains, allowing the propagating particles to be any valid…

High Energy Physics - Phenomenology · Physics 2019-12-25 Greg Jackson

Deeply virtual meson production (DVMP) is among the most prominent channels to extract the nucleon's generalized parton distributions (GPDs) at $ep$ scattering facilities such as {\tt JLab} and the upcoming {\tt EIC/EicC} experiments, which…

High Energy Physics - Phenomenology · Physics 2026-05-04 Wen Chen , Feng Feng , Yu Jia , Qin-Tao Song , Guang Tang , Zhe-Yu Wang

Two-loop corrections to scattering amplitudes are crucial theoretical input for collider physics. Recent years have seen tremendous advances in computing Feynman integrals, scattering amplitudes, and cross sections for five-particle…

High Energy Physics - Theory · Physics 2022-03-30 Johannes Henn , Tiziano Peraro , Yingxuan Xu , Yang Zhang

The structure of hadrons relevant for deep-inelastic scattering are completely characterised by the Compton amplitude. A direct calculation of the Compton amplitude in a lattice QCD setup provides a way to accessing the structure functions,…

We evaluate the one-loop corrections to the Wilson coefficient of the kinetic operator in the operator product expansion of the differential B -> X_c l nu decay rate. With a moderate cut on the lepton energy, the one-loop terms change the…

High Energy Physics - Phenomenology · Physics 2011-03-23 Thomas Becher , Heike Boos , Enrico Lunghi

We summarize here our investigations on the deeply virtual Compton scattering (DVCS) in the color dipole approach, implementing the dipole cross section through the saturation model. The role played by its QCD evolution and the skewedness…

High Energy Physics - Phenomenology · Physics 2007-05-23 Laurent Favart , Magno V. T. Machado

We compute the most general embedding space two-point function in arbitrary Lorentz representations in the context of the recently introduced formalism in arXiv:1905.00036 and arXiv:1905.00434. This work provides a first explicit…

High Energy Physics - Theory · Physics 2020-05-20 Jean-François Fortin , Valentina Prilepina , Witold Skiba

Mesons' internal structure and dynamics may be accessed through hard exclusive electroproduction processes such as deeply virtual Compton scattering in both near forward and near backward kinematics. With the help of the Sullivan process…

High Energy Physics - Phenomenology · Physics 2025-04-04 Abigail R. Castro , Cédric Mezrag , Jose M. Morgado Chávez , Bernard Pire

Radiative corrections (RC) to the Compton scattering cross section are calculated in the leading and next-to leading logarithmic approximation to the case of colliding high energy photon-electron beams. RC to the double Compton scattering…

High Energy Physics - Phenomenology · Physics 2009-11-10 A. N. Ilyichev , E. A. Kuraev , V. Bytev , Yu. P. Peresun'ko

The goal of this paper is two-fold. The first aim is to present a detailed version of the computation of the two-loop renormalization of the magnetic coupling in hot QCD. The second is to compare with lattice simulations the string tension…

High Energy Physics - Phenomenology · Physics 2015-06-25 P. Giovannangeli

At small inter-parton distances, double parton distributions receive their dominant contribution from the splitting of a single parton. We compute this mechanism at next-to-leading order in perturbation theory for all colour configurations…

High Energy Physics - Phenomenology · Physics 2021-09-01 Markus Diehl , Jonathan R. Gaunt , Peter Ploessl

These proceedings describe a computation of the large-$n_f$ terms contributing to the QCD splitting functions at the fourth order in the strong coupling constant $\alpha_s$. Using the FORCER package for the reduction of four-loop two-point…

High Energy Physics - Phenomenology · Physics 2017-09-04 Joshua Davies

We systematically evaluate observables for hard exclusive electroproduction of real photons and compare them to experiment using a set of Generalized Parton Distributions (GPDs) whose parameters are constrained by Deeply Virtual Meson…

High Energy Physics - Phenomenology · Physics 2025-01-08 Peter Kroll , Hervé Moutarde , Franck Sabatié
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