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We show that the experimental data for the total virtual-photon proton cross section, \sigma_{\gamma^*p} (W^2, Q^2), for x_{bj} \lsim 0.1 lie on a universal curve, when plotted against \eta = (Q^2 + m^2_0)/ \Lambda^2(W^2), where \Lambda^2…

High Energy Physics - Phenomenology · Physics 2014-11-17 Dieter Schildknecht , Bernd Surrow , Mikhail Tentyukov

The muon-proton and muon-deuteron inclusive deep inelastic scattering cross sections were measured in the kinematic range 0.002 < x < 0.60 and 0.5 < Q2 < 75 GeV2 at incident muon energies of 90, 120, 200 and 280 GeV. These results are based…

High Energy Physics - Phenomenology · Physics 2015-06-25 The New Muon Collaboration

We compute the longitudinal proton structure function F_L from the k_T factorization scheme, using the unified DGLAP/BFKL resummation approach at small x for the unintegrated gluon density. The differences between the k_T factorization,…

High Energy Physics - Phenomenology · Physics 2009-11-20 Krzysztof Golec-Biernat , Anna M. Stasto

We employ a parameterisation of the proton dipole cross section previously extracted from electroproduction and photoproduction data to predict the diffractive structure function F2D(3)(Q^2, beta, xpom). Comparison with HERA H1 data yields…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. R. Forshaw , G. R. Kerley , G. Shaw

A model is presented based on a dipole picture with a hard and a soft pomeron. It is assumed that large dipoles couple to the soft pomeron and small dipoels couple to the hard pomeron. Most of the parameters of the model are predetermined…

High Energy Physics - Phenomenology · Physics 2007-05-23 A Donnachie

We present a set of formulas to extract the ratio $F_{L}(x,Q^{2})/F_{2}(x,Q^{2})$ and $R(x,Q^{2})$ from the proton structure function parameterized in the next-to-next-to-leading order of the perturbative theory at low $x$ values. The…

High Energy Physics - Phenomenology · Physics 2020-06-29 B. Rezaei , G. R. Boroun

The longitudinal structure function in deep inelastic scattering is one of the observables from which the gluon distribution can be unfolded. Consequently, this observable can be used to constrain the QCD dynamics at small $x$. In this work…

High Energy Physics - Phenomenology · Physics 2011-09-13 V. P. Goncalves , M. V. T. Machado

A measurement of the inclusive cross section for the deep-inelastic scattering of positrons off protons at HERA is presented at momentum transfers $8.5 \leq Q^2 \leq 35 GeV^2$ and large inelasticity $y = 0.7$, i.e. for the Bjorken-x range…

High Energy Physics - Experiment · Physics 2010-03-25 C. Adloff

The strikingly different high energy behaviours of real photoabsorption cross-sections with Q^2 = 0 and the low x proton structure function at large Q^2 are studied from a laboratory frame viewpoint, in which the x and Q^2 dependence…

High Energy Physics - Phenomenology · Physics 2009-10-30 G. Kerley , G. Shaw

We present a detailed examination of the color-dipole picture (CDP) of low-$x$ deep inelastic scattering. We discriminate model-independent results, not depending on a specific parameterization of the dipole cross section, from…

High Energy Physics - Phenomenology · Physics 2015-03-19 Masaaki Kuroda , Dieter Schildknecht

We predict the effect of the charm structure function on the longitudinal structure function at small x. In NLO analysis we find that the hard Pomeron behavior gives a good description of $F_{L}$ and $F^{c}_{k}$ (k = 2,L) at small x values.…

High Energy Physics - Phenomenology · Physics 2015-06-18 B. Rezaei , G. R. Boroun

We computed the longitudinal proton structure function $F_{L}$, using the nonlinear Dokshitzer-Gribov-Lipatov-Altarelli-parisi (NLDGLAP) evolution equation approach at small $x$. For the gluon distribution, the nonlinear effects are related…

High Energy Physics - Phenomenology · Physics 2014-02-07 G. R. Boroun

Possibilities for the measurement of the longitudinal structure function in diffraction $F_\mathrm{L}^\mathrm{D}$ at the future US Electron Ion Collider are investigated. The sensitivity to $F_\mathrm{L}^\mathrm{D}$ arises from the…

High Energy Physics - Phenomenology · Physics 2022-04-27 Nestor Armesto , Paul R. Newman , Wojciech Slominski , Anna M. Stasto

A fit is made to the data for the proton structure function up to Q^2=10 GeV^2, including the real gamma p total cross-section. It is economical and simple, and its form is motivated by physical principles. It is extrapolated down to very…

High Energy Physics - Phenomenology · Physics 2009-10-22 A Donnachie , P V Landshoff

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

Using Laplace transform techniques, I calculate the longitudinal structure function $F_{L}(x,Q^{2})$ from the scaling violations of the proton structure function $F_{2}(x,Q^{2})$, and make a critical study of this relationship between the…

High Energy Physics - Phenomenology · Physics 2018-01-31 G. R. Boroun

Recent data on the (inelastic) Nachtmann moments of the unpolarized proton structure function F2p, obtained at low momentum transfer with the CLAS detector at Jefferson Lab, have been interpreted in terms of the dominance of the elastic…

High Energy Physics - Phenomenology · Physics 2015-06-25 Silvano Simula

I investigate the theoretical uncertainties on the predictions for the longitudinal structure function. I compare the predictions using fixed-order perturbative QCD, higher twist corrections, small-x resummations and the dipole picture. I…

High Energy Physics - Phenomenology · Physics 2008-08-14 R. S. Thorne

We study inclusive electroproduction on the proton at low $x$ and low $Q^2$ using a soft and a hard Pomeron. The contribution of the soft Pomeron is based on the Stochastic Vacuum Model, in which a nonperturbative dipole-dipole cross…

High Energy Physics - Phenomenology · Physics 2011-09-13 U. D'Alesio , A. Metz , H. J. Pirner

I investigate what a direct measurement of the longitudinal structure function F_L(x,Q^2) could teach us about the structure of the proton and the best way in which to use perturbative QCD for structure functions. I assume HERA running at a…

High Energy Physics - Phenomenology · Physics 2017-08-23 R. S. Thorne