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We calculate the perturbative parts of the structure functions $F_2^c$ and $F_L^c$ for a gluon target having nonzero transverse momentum squared at order $\alpha_s$. The results of the double convolution (with respect to the Bjorken…

高能物理 - 唯象学 · 物理学 2011-09-13 A. V. Kotikov , A. V. Lipatov , G. Parente , N. P. Zotov

We present the perturbative parts of the structure functions F_2^c and F_L^c for a gluon target having nonzero transverse momentum squared at order \alpha _s. The results of the double convolution (with respect to the Bjorken variable x and…

高能物理 - 唯象学 · 物理学 2017-08-23 A. V. Kotikov , A. V. Lipatov , G. Parente , N. P. Zotov

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…

高能物理 - 唯象学 · 物理学 2009-11-10 A. V. Kotikov , A. V. Lipatov , N. P. Zotov

We present the perturbative parts of the structure functions F_2^c and F_L^c for a gluon target having nonzero transverse momentum squared at order \alpha _s. The results of the double convolution (with respect to the Bjorken variable x and…

高能物理 - 唯象学 · 物理学 2007-05-23 A. V. Kotikov , A. V. Lipatov , G. Parente , N. P. Zotov

We investigate the dependence of the deep inelastic proton structure function $F_L(x, Q^2)$ on different forms of the transverse momentum dependent (TMD, or unintegrated) gluon distribution. We present a comparison of theoretical results…

高能物理 - 唯象学 · 物理学 2023-01-25 Lipatov A. V. , Lykasov G. I. , Malyshev M. A

The gluon contributions to $F_L(x,Q^2)$ in ${\cal O}(\alpha_s)$ are calculated taking into account the transverse momentum of the initial state parton. In comparison with collinear factorization $F_L(x,Q^2)$, is not affected at large $x$…

高能物理 - 唯象学 · 物理学 2009-10-28 Johannes Blümlein

Calculations are presented of the longitudinal structure function $F_L(x, Q^2)$. We use next-to-leading order expressions in QCD $({\cal{O}}(\alpha_s^2))$ plus parton densities determined previously from global fits to data on deep…

高能物理 - 唯象学 · 物理学 2014-11-17 Edmond L. Berger , Ruibin Meng

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…

高能物理 - 唯象学 · 物理学 2014-04-28 Akbari Jahan , D. K. Choudhury

The behaviour of the quark coefficient function for the longitudinal structure function F_L in deep-inelastic scattering is investigated for large values of the Bjorken variable x. We combine a highly plausible conjecture on the large-x…

高能物理 - 唯象学 · 物理学 2009-11-19 S. Moch , A. Vogt

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…

高能物理 - 唯象学 · 物理学 2015-06-25 A. V. Kotikov , G. Parente

The available data on $F_L$ suggest the existence of unexpected large higher twist contributions. We use the $1/N_f$ expansion to analyze the renormalon contribution to the coefficient function of the longitudinal structure function…

高能物理 - 唯象学 · 物理学 2009-10-28 E. Stein , M. Meyer-Hermann , L. Mankiewicz , A. Schäfer

The gluon distribution is obtained from the Golec-Biernat-W$\ddot{\mathrm{u}}$sthoff (GBW) and Bartels, Golec-Biernat and Kowalski (BGK) models at low $x$. We derive analytical results for the unintegrated color dipole gluon distribution…

高能物理 - 唯象学 · 物理学 2025-09-24 G. R. Boroun

We present exploratory studies of the proton structure via two distinct kinds of gluon densities: the transverse-momentum dependent functions, whose evolution is determined by the CSS equation, and the unintegrated gluon distribution, whose…

高能物理 - 唯象学 · 物理学 2022-10-18 Francesco Giovanni Celiberto

A model for the longitudinal structure function $F_L$ at low $x$ and low $Q^2$ is presented, which includes the kinematical constraint $F_L \sim Q^4$ as $Q^2 \rightarrow 0$. It is based on the photon-gluon fusion mechanism suitably…

高能物理 - 唯象学 · 物理学 2007-05-23 B. Badelek , J. Kwiecinski , A. Stasto

We present a nonlinear modification of the evolution of the gluon density, obtained at small x from the Berger-Block-Tan form of the deep inelastic structure function F2 in the leading order of perturbation theory.

高能物理 - 唯象学 · 物理学 2020-01-29 A. V. Kotikov

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…

高能物理 - 唯象学 · 物理学 2007-05-23 A. V. Kotikov , G. Parente

A model for the longitudinal structure function $F_L$ in the region of low $x$ and low $Q^2$ is discussed. It is constructed using the $k_T$ factorization theorem and a photon-gluon fusion mechanism suitably extrapolated to the region of…

高能物理 - 唯象学 · 物理学 2011-04-15 A. M. Stasto

Order $\alpha_s$-corrections to the diffractive structure functions $F_L^D$ and $F_2^D$ at large $Q^2$ and small $x$ are evaluated in the semiclassical approach, where the initial proton is treated as a classical colour field. The…

高能物理 - 唯象学 · 物理学 2009-02-20 W. Buchmuller , A. Hebecker , M. F. McDermott

We extend the results of Lappi {\em et al.}, Eur.~Phys.~J.~C {\bf 84}, 84 (2024), to show that it is possible to obtain expressions for the longitudinal, singlet and gluon structure functions $F_L$, $F_S$ and $G$ in deep inelastic…

高能物理 - 唯象学 · 物理学 2026-05-12 G. R. Boroun , Loyal Durand , Phuoc Ha

The longitudinal structure function FL(x,Q2) is extracted at low values of the Bjorken variable x from the Berger-Block-Tan parametrization of F2(x,Q2). The obtained FL(x,Q2) does not violate the high-energy asymptotic Froissart boundary…

高能物理 - 唯象学 · 物理学 2019-03-27 L. P. Kaptari , A. V. Kotikov , N. Yu. Chernikova , Pengming Zhang
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