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We present the third-order contributions to the quark-gluon and gluon-quark timelike splitting functions for the evolution of fragmentation functions in perturbative QCD. These quantities have been derived by studying physical evolution…

High Energy Physics - Phenomenology · Physics 2015-05-28 A. A. Almasy , A. Vogt , S. Moch

The small-$x$ contributions to the Bjorken sum rule within double logarithmic $ln^2x$ approximation for different input parametrisations $g_1^{NS}(x,Q_0^2)$ are presented. Analytical solutions of the evolution equations for full and…

High Energy Physics - Phenomenology · Physics 2007-05-23 Dorota Kotlorz , Andrzej Kotlorz

We calculate the massive flavor non-singlet Wilson coefficient for the heavy flavor contributions to the polarized structure function $g_1(x,Q^2)$ in the asymptotic region $Q^2 \gg m^2$ to 3-loop order in Quantum Chromodynamics at general…

High Energy Physics - Phenomenology · Physics 2015-06-17 A. Behring , J. Blümlein , A. De Freitas , A. von Manteuffel , C. Schneider

We propose a modified Balitsky-Fadin-Kuraev-Lipatov (BFKL) equation for the summation of large $\ln(1/x)$, $x$ being the Bjorken variable, which contains an extra dependence on momentum transfer $Q$ compared to the conventional BFKL…

High Energy Physics - Phenomenology · Physics 2009-09-25 Jyh-Liong Lim , Hsiang-nan Li

We present results on the fourth-order splitting functions and coefficient functions obtained using Forcer, a four-loop generalization of the Mincer program for the parametric reduction of self-energy integrals. We have computed the…

High Energy Physics - Phenomenology · Physics 2016-05-27 B. Ruijl , T. Ueda , J. A. M. Vermaseren , J. Davies , A. Vogt

The high energy limit of scattering processes in QCD is, at least on the purely theoretical level, described by the BFKL equation. However, many phenomenological studies of BFKL fail miserably when confronted with data. In this talk we will…

High Energy Physics - Phenomenology · Physics 2007-05-23 Jeppe R. Andersen

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

We calculate the massive two--loop pure singlet Wilson coefficients for heavy quark production in the unpolarized case analytically in the whole kinematic region and derive the threshold and asymptotic expansions. We also recalculate the…

High Energy Physics - Phenomenology · Physics 2019-06-12 J. Blümlein , A. De Freitas , C. G. Raab , K. Schönwald

The results of a recent next-to-leading order QCD analysis of the world data on polarized deep inelastic scattering are reported. New parameterizations are derived for the quark and gluon distributions, accounting for the massive Wilson…

High Energy Physics - Phenomenology · Physics 2015-05-20 Johannes Blümlein , Helmut Böttcher

We report on the status of the calculation of deep-inelastic structure functions at three loops in perturbative QCD. The method employed allows to calculate the Mellin moments of structure functions analytically as a general function of N.…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. Moch , J. A. M. Vermaseren

We introduce a coupled pair of evolution equations for the unintegrated gluon distribution and the sea quark distribution which incorporate both the resummed leading $\ln (1/x)$ BFKL contributions and the resummed leading $\ln (Q^2)$ DGLAP…

High Energy Physics - Phenomenology · Physics 2009-10-30 J. Kwiecinski , A. D. Martin , A. Stasto

A survey is given on the status of 3-loop heavy flavor corrections to deep-inelastic structure functions at large enough virtualities $Q^2$.

High Energy Physics - Phenomenology · Physics 2016-02-08 J. Ablinger , A. Behring , J. Blümlein , A. De Freitas , A. Hasselhuhn , A. von Manteuffel , C. G. Raab , M. Round , C. Schneider , F. Wißbrock

We discuss different resummations of large logarithms that arise in hard-scattering cross sections of quarks and gluons in regions of large and small x. The large-x logarithms are typically dominant near threshold for the production of a…

High Energy Physics - Phenomenology · Physics 2010-03-30 Nikolaos Kidonakis , Agustin Sabio Vera , Philip Stephens

We study the sea quark contribution to the BFKL kernel in the framework of Mueller's dipole model using the results of our earlier calculation. We first obtain the BFKL equation with the running coupling constant. We observe that the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Yuri V. Kovchegov , Heribert Weigert

We present a first calculation of the heavy flavor contribution to the longitudinally polarized deep-inelastic scattering structure function $g_1^{Q}$, differential in the transverse momentum or the rapidity of the observed heavy quark $Q$…

High Energy Physics - Phenomenology · Physics 2021-08-04 Felix Hekhorn , Marco Stratmann

We derive the general structure of the hadronic tensor required to describe deep-inelastic scattering from an off-shell nucleon within a covariant formalism. Of the large number of possible off-shell structure functions we find that only…

Nuclear Theory · Physics 2009-09-25 W. Melnitchouk , A. W. Schreiber , A. W. Thomas

Structure function data provide insight into the nucleon quark distribution. They are relatively straightforward to extract from the world's vast, and growing, amount of inclusive lepto-production data. In turn, structure functions can be…

High Energy Physics - Phenomenology · Physics 2022-01-05 S. Brown , G. Niculescu , I. Niculescu

We study power corrections to the spin-averaged structure functions F_2 and F_L in the semi-inclusive region. The dramatic breakdown of the operator product expansion at large Bjorken x due to the formation of a narrow jet with invariant…

High Energy Physics - Phenomenology · Physics 2008-11-26 E. Gardi , G. P. Korchemsky , D. A. Ross , S. Tafat

We study the fragmentation of (light) quarks and gluons to hadrons inside a jet of cone size R. This allows for a more exclusive analysis of fragmentation than is currently the case. The shape of semi-inclusive cross sections in the hadron…

High Energy Physics - Phenomenology · Physics 2015-06-03 Massimiliano Procura , Wouter J. Waalewijn

We use results for the structure functions $F_L$ for a gluon target having nonzero transverse momentum square at order $\alpha_s$, obtained in our previous paper, to compare with recent H1 experimental data for $F_L$ at fixwd W values and…

High Energy Physics - Phenomenology · Physics 2009-11-10 A. V. Kotikov , A. V. Lipatov , N. P. Zotov