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We extend our previous results on small-x resummation in the pure Yang--Mills theory to full QCD with nf quark flavours, with a resummed two-by-two matrix of resummed quark and gluon splitting functions. We also construct the corresponding…

High Energy Physics - Phenomenology · Physics 2008-11-26 Guido Altarelli , Richard D. Ball , Stefano Forte

QCD factorization approach in the field-theoretic description of the semi-inclusive hadronic processes in the large Bjorken $x$ approximation implies extraction of the three-dimensional parton distribution functions as a convolution of a…

High Energy Physics - Phenomenology · Physics 2014-03-24 I. O. Cherednikov

We study resummation of transverse-momentum-related large logarithms generated from soft-gluon radiations in soft-collinear effective field theory. The anomalous dimensions of the effective quark and gluon currents, an important ingredient…

High Energy Physics - Phenomenology · Physics 2010-04-05 Ahmad Idilbi , Xiangdong Ji , Feng Yuan

The soft-gluon resummation exponents G^N in moment space are investigated for the quark coefficient functions in deep-inelastic structure functions and the quark-antiquark contribution to the Drell-Yan cross section dsigma/dM. Employing…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. Vogt

The amplitude of the deeply virtual Compton scattering off nucleon is computed to the twist-3 accuracy in the Wandzura-Wilczek (WW) approximation. The result is presented in the form which can be easily used for the analysis of DVCS…

High Energy Physics - Phenomenology · Physics 2009-10-31 N. Kivel , M. V. Polyakov

We calculate DIS-scheme splitting and coefficient functions for electromagnetic deep inelastic scattering with small x resummations, as given by the NLL BFKL equation with running coupling and approximate NLL resummed impact factors. The…

High Energy Physics - Phenomenology · Physics 2008-11-26 C. D. White , R. S. Thorne

We define a general scheme for the evolution of fragmentation functions which resums both soft gluon logarithms and mass singularities in a consistent manner and to any order, and requires no additional theoretical assumptions. Using the…

High Energy Physics - Phenomenology · Physics 2010-03-25 S. Albino , B. A. Kniehl , G. Kramer , W. Ochs

We outline the twist-two analysis of deeply virtual Compton scattering (DVCS)within the conformal partial wave expansion of the amplitude, represented as a Mellin--Barnes integral. The complete next-to-leading order results, including…

High Energy Physics - Phenomenology · Physics 2017-08-23 K. Kumerički , D. Müller , K. Passek-Kumerički

We compute in the heavy quark effective theory the soft coefficient D_2 entering the resummation of next-to-next-to-leading threshold logarithms for jets initiated by a quark with a small mass compared to the hard scale of the process. We…

High Energy Physics - Phenomenology · Physics 2009-01-16 Ugo Aglietti , Leonardo Di Giustino , Giancarlo Ferrera , Luca Trentadue

We show how quark-hadron duality can emerge for valence spin averaged structure functions, and for the non-forward distributions of Deeply Virtual Compton Scattering. Novel factorisations of the non-forward amplitudes are proposed. Some…

High Energy Physics - Phenomenology · Physics 2009-11-07 Frank E. Close , Qiang Zhao

The present experiment exploits the interference between the Deeply Virtual Compton Scattering (DVCS) and the Bethe-Heitler processes to extract the imaginary part of DVCS amplitudes on the neutron and on the deuteron from the…

Nuclear Experiment · Physics 2019-08-13 M. Mazouz , A. Camsonne , C. Muñoz Camacho

We give a complete treatment of factorisation of Deeply Virtual Compton Scattering (DVCS) in the generalised Bjorken limit, using the local Operator Product Expansion (OPE). The method allows a straightforward proof that, at leading twist,…

High Energy Physics - Phenomenology · Physics 2008-11-26 B. E. White

The contribution of quarks with masses m >> Lambda_QCD is the only part of the structure functions in deep-inelastic scattering (DIS) which is not yet known at the next-to-next-to-leading order (NNLO) of perturbative QCD. We present…

High Energy Physics - Phenomenology · Physics 2016-08-09 H. Kawamura , N. A. Lo Presti , S. Moch , A. Vogt

We derive threshold resummation of semi-inclusive deep-inelastic scattering (SIDIS), by building upon previous results by some of us for the resummation of the Drell-Yan process at fixed rapidity, which is related to SIDIS by crossing. We…

High Energy Physics - Phenomenology · Physics 2026-05-01 Stefano Forte , Giovanni Ridolfi , Francesco Ventola

We calculate $(\sqrt{-t}/Q)^k $ and $(m/Q)^k$ power corrections with $k\le 4$, where $m$ is the target mass and $t$ is the momentum transfer, to several key observables in Deeply Virtual Compton Scattering (DVCS). We find that the power…

High Energy Physics - Phenomenology · Physics 2025-01-15 V. M. Braun , Yao Ji , A. N. Manashov

Deeply virtual Compton scattering (DVCS) and timelike Compton scattering (TCS) leading twist amplitudes are intimately related thanks to their analytic properties as a function of $Q^2$. We exploit this feature to use Compton form factors…

High Energy Physics - Phenomenology · Physics 2021-06-23 O. ~Grocholski , H. ~Moutarde , B. Pire , P. Sznajder , J. Wagner

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

We consider the production of a pair of heavy quarks $Q\bar{Q}$ in association with a generic colour singlet system $V$ at lepton colliders, and present the first analytic calculation of the two-loop soft function differential in the total…

High Energy Physics - Phenomenology · Physics 2024-11-21 Ze Long Liu , Pier Francesco Monni

We consider elastic quark-quark scattering at high energy and fixed transferred momentum. Performing factorization of soft gluon exchanges into Wilson lines vacuum expectation values and studying their properties, we find that the…

High Energy Physics - Phenomenology · Physics 2009-10-22 G. P. Korchemsky

QCD collinear factorization allows coherent hard exclusive reactions to reveal the quark-gluon structure of light nuclei, enabling their 3D tomography. We study elastic form factors and deeply virtual Compton scattering on a helium-4…

High Energy Physics - Phenomenology · Physics 2026-05-19 V. Martínez-Fernández , B. Pire , P. Sznajder , J. Wagner