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We present a set of formulae to extract the longitudinal deep inelastic structure function $F_L$ from the transverse structure function $F_2$ and its derivative $dF_2/dlnQ^2$ at small $x$. Our expressions are valid for any value of…

High Energy Physics - Phenomenology · Physics 2015-06-25 A. V. Kotikov , G. Parente

The longitudinal structure function for nucleons and nuclei is considered at fixed $\sqrt{s}$ and $Q^2$ to the minimum value of $x$ given by $Q^2/s$. This is done using the expansion method and color dipole model in the next-to-leading…

High Energy Physics - Phenomenology · Physics 2025-10-21 G. R. Boroun

First attempts are described to determine the unintegrated Parton Density Function of the gluon from a fit to measurements of the structure function $F_2(x,Q^2)$ and also $F_2^c(x,Q^2)$ measured at HERA. Reasonable descriptions of both…

High Energy Physics - Phenomenology · Physics 2007-05-23 H. Jung , A. V. Kotikov , A. V. Lipatov , N. P. Zotov

In recent years, Fractal Inspired Models of quark and gluon densities at small x have been proposed. In this paper, we investigate longitudinal structure function F-L (x, Q2) within this approach. We make predictions using the QCD based…

High Energy Physics - Phenomenology · Physics 2014-04-28 Akbari Jahan , D. K. Choudhury

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

We make a critical, next-to-leading order, study of the relationship between the longitudinal structure function FL and the gluon distribution proposed in Cooper- Sarkar et al. (Z. Phys. C 39:281, 1988; Acta Phys. Pol. B 34:2911 2003),…

High Energy Physics - Phenomenology · Physics 2014-01-31 G. R. Boroun , B. Rezaei

The leading effect of light gluinos on the deep inelastic longitudinal structure function is calculated. We present the explicit analitic expression for the Wilson coefficient. After convolution with quark, gluon and gluino distributions we…

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

Measurements of the longitudinal structure function FL at the ep collider HERA are presented. They are derived from inclusive deep inelastic neutral current e+p scattering cross section measurements based on data collected in 2007 with the…

High Energy Physics - Experiment · Physics 2008-10-29 Vladimir Chekelian

We present very simple non-integral relations between deep inelastic structure functions $F_L$, $F_2$ and the gluon distribution at small $x$ based on perturbative QCD which are useful for the phenomenological analysis of data at low $x$.…

High Energy Physics - Phenomenology · Physics 2007-05-23 G. Parente , A. V. Kotikov

We present a set of formulas to extract the longitudinal structure function from the proton structure function and its derivatives with respect to lnQ2 in the next-to-next-to-leading order of the perturbative theory at low x based on a hard…

High Energy Physics - Phenomenology · Physics 2020-10-20 B. Rezaei , G. R. Boroun

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

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…

High Energy Physics - Phenomenology · Physics 2015-10-29 Marek Niedziela , Michal Praszalowicz

A first measurement is reported of the longitudinal proton structure function F_L(x,Q^2) at the ep collider HERA. It is based on inclusive deep inelastic e^+p scattering cross section measurements with a positron beam energy of 27.5 GeV and…

High Energy Physics - Experiment · Physics 2012-08-27 H1 Collaboration

We present an analytic formula to extract the longitudinal structure function in the next- to -leading order of the perturbation theory at low $x$, from the Regge- like behavior of the gluon distribution and the structure function at this…

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

A reanalysis of the model for the longitudinal structure function $F_L (x,Q^2)$ at low $x$ and low $Q^2$ was undertaken, in view of the advent of the EIC. The model is based on the photon-gluon fusion mechanism suitably extrapolated to the…

High Energy Physics - Phenomenology · Physics 2022-04-20 B. Badelek , A. M. Stasto

We present a set of formulae to extract the longitudinal deep inelastic structure function $F_L$ from the transverse structure function $F_2$ and its derivative $dF_2/dlnQ^2$ at small $x$. Using $F_2$ HERA data we obtain $F_L$ in the range…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. V. Kotikov , G. Parente

Recent results from the HERA experiment H1 on the longitudinal stucture function $F_{L}$ of the proton are presented. They include proton structure function analyses with particular emphasis on those kinematic regions which are sensitive to…

High Energy Physics - Phenomenology · Physics 2008-11-26 N. Gogitidze

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

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 ZEUS and H1 collaborations have made the first direct measurements of the longitudinal proton structure function, FL, which is strongly correlated to the gluon density in the proton. The ZEUS collaboration have also extracted the…

High Energy Physics - Experiment · Physics 2009-05-29 Tim Namsoo
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