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We calculate the logarithmic contributions to the massive Wilson coefficients for deep-inelastic scattering in the asymptotic region $Q^2 \gg m^2$ to 3-loop order in the fixed-flavor number scheme and present the corresponding expressions…

High Energy Physics - Phenomenology · Physics 2015-06-19 A. Behring , I. Bierenbaum , J. Blümlein , A. De Freitas , S. Klein , F. Wißbrock

We consider the Lagrange density of non-relativistic Quantum Chromodynamics expanded up to order $1/m^2$, where $m$ is the heavy quark mass, and compute several matching coefficients up to two-loop order. Our results are building blocks for…

High Energy Physics - Phenomenology · Physics 2019-09-25 Marvin Gerlach , Go Mishima , Matthias Steinhauser

We calculate the Compton and annihilation production of a soft static lepton pair in a quark-gluon plasma in the two-loop approximation. We work in the context of the effective perturbative expansion based on the resummation of hard thermal…

High Energy Physics - Phenomenology · Physics 2009-10-31 Patrick Aurenche , Francois Gelis , Randy Kobes , Haitham Zaraket

The extraction of Compton Form Factors (CFFs) in a global analysis of almost all Deeply Virtual Compton Scattering (DVCS) proton data is presented. The extracted quantities are DVCS sub-amplitudes and the most basic observables which are…

High Energy Physics - Phenomenology · Physics 2019-07-25 H. Moutarde , P. Sznajder , J. Wagner

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

By explicit calculation of the two-loop QCD corrections we show that for singlet axial and vector currents the full off-shell <VVA> correlation function in the limit of massless fermions is proportional to the one-loop result, when…

High Energy Physics - Theory · Physics 2009-11-11 F. Jegerlehner , O. V. Tarasov

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 present some recent results on the analysis of hard scattering processes in the framework of Generalized Parton Distributions. In particular we compute DVCS observables on unpolarized targets with the Kroll - Goloskokov model (suited to…

High Energy Physics - Phenomenology · Physics 2012-06-22 H. Moutarde , F. Sabatié

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

We consider Deeply Virtual Compton Scattering (DVCS) on nucleons and nuclei in the framework of generalized vector meson dominance (GVMD) model. We demonstrate that the GVMD model provides a good description of the HERA data on the…

High Energy Physics - Phenomenology · Physics 2008-11-26 K. Goeke , V. Guzey , M. Siddikov

Applications of perturbative QCD to deeply virtual Compton scattering process require a generalization of usual parton distributions for the case when long-distance information is accumulated in nonforward matrix elements of quark and gluon…

High Energy Physics - Phenomenology · Physics 2009-10-30 Anatoly V. Radyushkin

We compute next-to-leading order virtual two-loop corrections to the process $gg\to ZZ$ in the low- and high-energy limits, considering the contributions with virtual top quarks. Analytic results for all 20 form factors are presented…

High Energy Physics - Phenomenology · Physics 2020-02-14 Joshua Davies , Go Mishima , Matthias Steinhauser , David Wellmann

We explore the properties of two-point cosmic propagators when Perturbation Theory (PT) loop corrections are consistently taken into account. We show in particular how the interpolation scheme proposed in arXiv:1112.3895 can be explicitly…

Cosmology and Nongalactic Astrophysics · Physics 2014-01-15 Francis Bernardeau , Atsushi Taruya , Takahiro Nishimichi

We complete the QCD sum rule analysis of the Isgur Wise form factor $\xi(v\cdot v')$ at next-to-leading order in renormalization-group improved perturbation theory. To this end, the exact result for the two-loop corrections to the…

High Energy Physics - Phenomenology · Physics 2009-10-22 Matthias Neubert

In this work, we compute one-loop planar five-point functions in $\mathcal{N}$=4 super-Yang-Mills using integrability. As in the previous work, we decompose the correlation functions into hexagon form factors and glue them using the weight…

High Energy Physics - Theory · Physics 2018-04-04 Thiago Fleury , Shota Komatsu

Timelike Compton scattering (TCS) i.e. the exclusive photoproduction of a lepton pair with large invariant mass nicely complements the already successful experimental study of deeply virtual Compton scattering (DVCS). The same Generalized…

High Energy Physics - Phenomenology · Physics 2012-07-12 B. Pire , L. Szymanowski , J. Wagner

An analytic formula is given for the total scattering cross section of an electron and a photon at order $\alpha^3$. This includes both the double-Compton scattering real-emission contribution as well as the virtual Compton scattering part.…

High Energy Physics - Phenomenology · Physics 2021-06-18 Roman N. Lee , Matthew D. Schwartz , Xiaoyuan Zhang

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

In the framework of Generalised Parton Distributions, we study the helicity-dependent and independent cross sections measured in Hall A and the beam spin asymmetries measured in Hall B at Jefferson Laboratory. We perform a global fit of…

High Energy Physics - Phenomenology · Physics 2009-07-30 H. Moutarde

Second- and third-order results are presented for the structure functions of charged-current deep-inelastic scattering in the framework of massless perturbative QCD. We write down the two-loop differences between the corresponding…

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