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The most recent H1 and ZEUS data for diffractive structure functions are analyzed under three different theoretical approaches. This includes the Pomeron Structure Function (PSF) framework, Bartels-Ellis-Kowalski-Wusthoff (BEKW) color…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. Sapeta

It is shown that exact, amplitude-based resummation allows IR-improvement of the usual DGLAP theory. This results in a new set of kernels, parton distributions and attendant reduced cross sections, so that the QCD perturbative result for…

High Energy Physics - Phenomenology · Physics 2010-03-25 B. F. L. Ward

An analytical solution based on the Laplace transformation technique for the DGLAP evolution equations is presented at next-to-leading order accuracy in perturbative QCD. This technique is also applied to extract the analytical solution for…

High Energy Physics - Phenomenology · Physics 2017-03-09 Hamzeh Khanpour , Abolfazl Mirjalili , S. Atashbar Tehrani

We present a formulation which allows heavy quark (c, b, ...) mass effects to be explicitly incorporated in both the coefficient functions and the splitting functions in the parton evolution equations. We obtain a consistent procedure for…

High Energy Physics - Phenomenology · Physics 2011-01-25 A. D. Martin , R. G. Roberts , M. G. Ryskin , W. J. Stirling

We illustrate geometric scaling for the photon-proton cross section with a very simple saturation model. We describe the proton structure function F2 at small x in a wide kinematical range with an elementary functional form and a small…

High Energy Physics - Phenomenology · Physics 2009-11-07 S. Munier

We study the proton structure functions $F_1$ and $F_2$ in the context of holography. We develop a general framework that extends previous holographic calculations of $F_1$ and $F_2$ to the case where the bulk geometry stems from bottom-up…

High Energy Physics - Theory · Physics 2025-10-28 Ayrton da Cruz Pereira do Nascimento , Henrique Boschi-Filho , Jorge Noronha

We review a consistent description of the fusion and saturation of partons in the Lorentz-contracted ultrarelativistic nuclei in terms of a nuclear attenuation of color dipole states of the photon and collective Weizs\"acker-Williams (WW)…

High Energy Physics - Phenomenology · Physics 2017-08-23 I. P. Ivanov , N. N. Nikolaev , W. Schäfer , B. G. Zakharov , V. R. Zoller

We present a first calculation of the heavy flavor contribution to the longitudinally polarized DIS structure function $g_1$, differential in the transverse momentum or the rapidity of the observed heavy antiquark $\overline{Q}$. All…

High Energy Physics - Phenomenology · Physics 2022-09-21 Felix Hekhorn , Marco Stratmann

We recently derived explicit solutions of the leading-order Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP) equations for the $Q^2$ evolution of the singlet structure function $F_s(x,Q^2)$ and the gluon distribution $G(x,Q^2)$ using very…

High Energy Physics - Phenomenology · Physics 2015-05-30 Martin M. Block , Loyal Durand , Phuoc Ha , Douglas W. McKay

In this study we incorporate the Sudakov form factor into the dipole factorization formula, where the hard scale of the former is provided by the photon virtuality $Q^2$. We obtain a general formula which we then apply to the well-known GBW…

High Energy Physics - Phenomenology · Physics 2023-04-05 Tomoki Goda , Krzysztof Kutak , Sebastian Sapeta

We provide compact formulas for the heavy quarks structure functions $F^{q\bar{q}}_{2}(x, Q^{2})$ and $F^{q\bar{q}}_{L}(x, Q^{2})$, with $q = c, b$ and $t$, in $e^{-}p$ interaction with respect to the behavior of the gluon density at the…

High Energy Physics - Phenomenology · Physics 2022-11-23 S. Zarrin , S. Dadfar

New results on charm quark production at HERA in an increased phase space in deep-inelastic scattering and photoproduction are discussed. Single & double-differential cross section distributions are compared to next-to-leading order QCD…

High Energy Physics - Experiment · Physics 2011-04-28 Andreas Werner Jung

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

In this work, we present an analytical solution for QCD$\otimes$QED coupled Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP) evolution equations at the leading order (LO) accuracy in QED and next-to-leading order (NLO) accuracy in…

High Energy Physics - Phenomenology · Physics 2017-08-23 S. Zarrin , G. R. Boroun

We have calculated the partonic structure of a constituent quark in the leading order in QCD for the first time and examined its ipmlications on the proton structure function, $F^{p}_{2}, data from HERA. It turned out that although…

High Energy Physics - Phenomenology · Physics 2007-05-23 Firooz Arash , Ali Naghi Khorramian

We compute the gluonic contribution to the gravitational form factors of the proton using the improved holographic QCD model, in which the proton is described in terms of bulk Dirac fermions. Model parameters are constrained using lattice…

High Energy Physics - Theory · Physics 2026-02-26 Antti Hippeläinen , Niko Jokela , Matti Järvinen

We present the first experiment-based parameterization of differential gluon structure function, which is called upon in many applications. We compare $\kappa$-factorization and DGLAP approaches and analyze properties of DGSF, with special…

High Energy Physics - Phenomenology · Physics 2007-05-23 I. P. Ivanov , N. N. Nikolaev

We discuss the order alpha_s^2 corrections to the longitudinal spin structure function g_1(x,Q^2,m^2) which are due to heavy flavour contributions. Here Q denotes the virtuality of the photon and m stands for the heavy flavour mass. Since…

High Energy Physics - Phenomenology · Physics 2007-05-23 W. L. van Neerven

The HERA luminosity upgrade is expected to provide statistically significant measurements of the proton structure functions at 0.5<x<0.7 and very high Q2 (Q2>>M_{Z}^2). The behaviour of the parton densities (PDFs) in this high x, Q2 regime…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Caldwell , S. Paganis , F. Sciulli

We perform a global parton analysis of deep inelastic and related hard-scattering data, including ${\cal O}(\alpha_{\rm QED})$ corrections to the parton evolution. Although the quality of the fit is essentially unchanged, there are two…

High Energy Physics - Phenomenology · Physics 2010-03-25 A. D. Martin , R. G. Roberts , W. J. Stirling , R. S. Thorne