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We present a set of formulae to extract the gluon distribution function from the deep inelastic structure function F$_2$ and its derivative dF$_2$/dlnQ$^2$ at small x in the leading and next-to-leading order of perturbation theory. The…

High Energy Physics - Phenomenology · Physics 2009-10-28 A. V. Kotikov , G. Parente

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 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 have calculated the splitting functions governing the evolution of the unpolarized parton distributions of the photon at the next-to-next-to-leading order (NNLO) of massless perturbative QCD. The results, presented here mainly in terms…

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

We present next-to-leading-order (NLO) calculations of heavy-quark contributions to deep-inelastic scattering (DIS) structure functions $F_4$ and $F_5$ within the Aivazis--Collins--Olness--Tung (ACOT) scheme, implemented in the open source…

High Energy Physics - Phenomenology · Physics 2025-12-09 Edoardo Spezzano , Tomas Jezo , Michael Klasen , Peter Risse , Ingo Schienbein

We describe the gluon parton distribution function (PDF) in the proton, deduced by data from the ATLAS and HERA experiments, in the framework of the parton statistical model. The best fit parameters involved in the Planck formula that…

High Energy Physics - Phenomenology · Physics 2023-07-12 Loredana Bellantuono , Roberto Bellotti , Franco Buccella

We examine the uncertainty of perturbative QCD factorization for hadron structure functions in deep inelastic scattering at a large value of the Bjorken variable xB. We analyze the target mass correction to the structure functions by using…

High Energy Physics - Phenomenology · Physics 2014-11-18 Alberto Accardi , Jian-Wei Qiu

New results on diffractive deep-inelastic $e p$ scattering at HERA are presented using data taken in 1994 with the H1 detector. The cross section for diffractive deep-inelastic scattering is measured in terms of a diffractive structure…

High Energy Physics - Experiment · Physics 2007-05-23 S. Tapprogge

In [arXiv:0804.2630], we have analyzed the leading logarithms of energy that appear in the inclusive spectrum of gluons produced in heavy ion collisions, calculated in the Color Glass Condensate framework. The main result of this paper was…

High Energy Physics - Phenomenology · Physics 2013-03-14 F. Gelis , J. Laidet

Large angle gluon radiations induced by multiple parton scatterings contribute to dijet production in deeply inelastic scattering off a large nucleus at the Electron-Ion Collider. Within the generalized high-twist approach to multiple…

High Energy Physics - Phenomenology · Physics 2022-03-22 Yuan-Yuan Zhang , Xin-Nian Wang

At high values of the pair invariant mass the differential cross section for top-quark pair production at hadron colliders factorizes into soft, hard, and fragmentation functions. In this paper we calculate the next-to-next-to-leading-order…

High Energy Physics - Phenomenology · Physics 2015-06-05 Andrea Ferroglia , Ben D. Pecjak , Li Lin Yang

Instanton-induced deep-inelastic processes are considered. Unlike previous results we calculate nonzero quark modes contribution.

High Energy Physics - Phenomenology · Physics 2007-05-23 V. I. Kashkan , V. I. Kuvshinov , R. G. Shulyakovsky

We present a calculation of the perturbative quark-to-quark transverse parton distribution function at next-to-next-to-leading order based on a gauge invariant operator definition. We demonstrate for the first time that such a definition…

High Energy Physics - Phenomenology · Physics 2013-05-30 Thomas Gehrmann , Thomas Lübbert , Li Lin Yang

The asymptotic collinear factorisation theorem, which holds for diffractive deep-inelastic scattering, has important modifications in the sub-asymptotic HERA regime. We use perturbative QCD to quantify these modifications. The diffractive…

High Energy Physics - Phenomenology · Physics 2010-03-25 A. D. Martin , M. G. Ryskin , G. Watt

I present a unified calculation of soft-gluon corrections to hard-scattering cross sections through next-to-next-to-next-to-leading order (NNNLO). Master formulas are derived, from a threshold resummation formalism, that can be applied to…

High Energy Physics - Phenomenology · Physics 2013-05-29 Nikolaos Kidonakis

We review applicability of QCD factorization theorem to multiple scattering in deeply inelastic lepton-nucleus scattering. We show why A^{1/3}-type nuclear enhancement can be calculated consistently in perturbative QCD. We derive the…

High Energy Physics - Phenomenology · Physics 2009-10-31 Xiaofeng Guo , Jianwei Qiu

We present the first complete next-to-next-to-next-to-leading-order calculation of the matching coefficients that link unpolarized flavor non-singlet parton distribution functions with lattice QCD computable correlation functions. By using…

High Energy Physics - Phenomenology · Physics 2024-10-11 Chen Cheng , Li-Hong Huang , Xiang Li , Zheng-Yang Li , Yan-Qing Ma

The nucleon structure functions probed in deep-inelastic scattering at large virtualities form an important tool to test Quantum Chromdynamics (QCD) through precision measurements of the strong coupling constant $\alpha_s(M_Z^2)$ and the…

High Energy Physics - Phenomenology · Physics 2015-06-11 Johannes Blümlein

We report on the first calculation of the structure function g_1 in polarised deep-inelastic scattering to the third order in massless perturbative QCD. The calculation follows the dispersive approach already used for the corresponding…

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

We present the polarized parton distribution functions from a QCD analysis of the worldwide polarized deep inelastic scattering data, based on the dynamical parton distribution model. All the sea quarks and gluons are dynamically generated…

High Energy Physics - Phenomenology · Physics 2022-11-23 Chengdong Han , Gang Xie , Rong Wang , Xurong Chen