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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…

高能物理 - 唯象学 · 物理学 2020-06-29 B. Rezaei , G. R. Boroun

We compare new HERA data for the longitudinal structure function $F_{\rm L}$ with the predictions of different variants of the dipole model. In particular we show that the ratio $F_{\rm L}/F_2$ is well described by the dipole models and is…

高能物理 - 唯象学 · 物理学 2015-10-29 Marek Niedziela , Michal Praszalowicz

We present a calculation of the ratio $\frac{\sigma_{r}}{F_{2}}(x, Q^2)$ in momentum-space approach using the Block-Durand-Ha (BDH) parameterization of the proton structure function $F_{2}(x,Q^2)$. The results are compared with H1 data and…

高能物理 - 唯象学 · 物理学 2026-04-16 G. R. Boroun

New Results on the measurement of the proton structure function F_2(x,Q^2) are reported for momentum transfers squared Q^2 >= 1.5 GeV^2 and Bjorken x >= 3.5 10^{-5} using data collected by the HERA experiments H1 and ZEUS in 1994. F_2…

高能物理 - 实验 · 物理学 2007-05-23 Gregorio Bernardi

The upper bound on the ratio of the proton structure functions $F_L/F_2$ tested in the recent paper "The New $F_L$ Measurement from HERA and the Dipole Model", contrary to what is said therein, does not provide a model-independent…

高能物理 - 唯象学 · 物理学 2015-06-04 Dieter Schildknecht

The HERA data on the proton structure function, $F_2(x,Q^2)$, at very small $x$ and $Q^2$ show the dramatic departure of the logarithmic slope, $\partial F_2/\partial\log Q^2$, from theoretical predictions based on the DGLAP evolution. We…

高能物理 - 唯象学 · 物理学 2014-11-17 N. N. Nikolaev , V. R. Zoller

Preliminary results on a measurement of the proton structure function F_2 are reported for momentum transfers squared Q^2 between 1.5~GeV^2 and 5000 GeV^2 and for Bjorken x between 5.10^{-5} and 0.32 using data collected by the HERA…

高能物理 - 实验 · 物理学 2007-05-23 Gregorio Bernardi

New results from the H1 and ZEUS collaborations on the measurement of cross-sections at very high Q^2 (up to 25000 GeV^2) and on the proton structure function F_2(x,Q^2) for momentum transfers squared Q^2 >= 1.5 GeV^2 and Bjorken x >= 3.5…

高能物理 - 实验 · 物理学 2007-05-23 Gregorio Bernardi

We investigate the effect of the structure function F_L in global parton analyses of deep inelastic and related hard scattering data. We perform NLO and NNLO analyses which include the reduced cross section HERA data at high y, as well as…

高能物理 - 唯象学 · 物理学 2008-11-26 A. D. Martin , W. J. Stirling , R. S. Thorne

From the new measurement of F_L at HERA we derive fixed-Q^2 averages <F_L/F_2>. We compare these with bounds which are rigorous in the framework of the standard dipole picture. The bounds are sharpened by including information on the charm…

高能物理 - 唯象学 · 物理学 2015-06-04 Carlo Ewerz , Andreas von Manteuffel , Otto Nachtmann , Andre Schoning

$Q^2$ evolution of structure functions in the nucleon and nuclei is investigated by using usual DGLAP equations and parton-recombination equations. Calculated results for proton's $F_2$ and for the ratio $F_2^{Ca}/F_2^D$ are compared with…

高能物理 - 唯象学 · 物理学 2007-05-23 M. Miyama

The $F_2$, $F_G$, $R = F_L/F_T$ proton structure functions are derived in the QCD dipole picture. Assuming $k_T$ and renormalization-group factorization, we relate deep-inelastic proton scattering to deep-inelastic onium scattering. We get…

高能物理 - 唯象学 · 物理学 2008-11-26 H. Navelet , R. Peschanski , Ch. Royon , S. Wallon

The recent $F_2$ data can be described using the DGLAP evolution equations with an appropriate choice of input distributions and the choice of the starting scale for the $Q^2$ evolution. We demonstrate in this paper that we cannot conclude…

高能物理 - 唯象学 · 物理学 2014-11-17 A. Ayala , M. B. Gay Ducati , Victor P. Goncalves

A detailed comparison of HERA data at low Bjorken-$x$ and low four-momentum-transfer squared, $Q^2$, with predictions based on $\ln{Q^2}$ evolution (DGLAP) in perturbative Quantum Chromo Dynamics suggests inadequacies of this framework. The…

高能物理 - 唯象学 · 物理学 2016-10-12 I. Abt , A. M. Cooper-Sarkar , B. Foster , V. Myronenko , K. Wichmann , M. Wing

Measurements of the proton and deuteron $F_2$ structure functions are presented. The data, taken at Jefferson Lab Hall C, span the four-momentum transfer range $0.06 < Q^2 < 2.8$ GeV$^2$, and Bjorken $x$ values from 0.009 to 0.45, thus…

A precise proton structure function F_2 at low x is measured. The data is interpreted in the framework of QCD with an extraction of gluon density xg. The charm contribution to F_2 is determined in an extended kinematic range. Neutral and…

高能物理 - 唯象学 · 物理学 2009-10-31 Zhiqing Zhang

The drastic rise of the proton structure function F_2(x,Q^2) when the Bj\"orken variable x decreases, seen at HERA for a large span of Q^2, negative values for the 4-momentum transfer, may be damped when Q^2 increases beyond several…

高能物理 - 唯象学 · 物理学 2014-11-17 P. Desgrolard , A. Lengyel , E. Martynov

We critically analyse the data available on the reduced cross-section in deeply inelastic $e p$ scattering from the H1 collaboration at HERA. We use available data on the longitudinal structure function to deduce the nature of $\d F_2/\d\ln…

高能物理 - 唯象学 · 物理学 2009-10-31 Rahul Basu , D. Indumathi

The proton structure function in the diffraction region of small Bjorken-$x$ and $10 {\rm GeV}^2 \le Q^2 \le 100 {\rm GeV}^2$ behaves as $F_2 (x, Q^2) = F_2 (W^2) = f_0 \cdot (W^2)^{C_2}$, where $x = Q^2 / W^2$. The exponent $C_2$ of the…

高能物理 - 唯象学 · 物理学 2011-04-06 Dieter Schildknecht

An analytical solution of the QCD evolution equations for the singlet and gluon distribution is presented. We decouple DGLAP evolution equations into the initial conditions by using a Laplace transform method at $N^{n}LO$ analysis. The…

高能物理 - 唯象学 · 物理学 2019-05-13 B. Rezaei , G. R. Boroun
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