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The effects of the first nonlinear corrections to the DGLAP equations are studied in light of the HERA data. Saturation limits are determined in the DGLAP+GLRMQ approach for the free proton and for the Pb nucleus.

High Energy Physics - Phenomenology · Physics 2007-05-23 K. J. Eskola , H. Honkanen , V. J. Kolhinen , Jianwei Qiu , C. A. Salgado

The most important part of the order $\alpha_s^2$ corrections to the charm component of the charged-current structure functions $F_2(x,Q^2)$ and $F_3(x,Q^2)$ have been calculated. This calculation is based on the asymptotic form of the…

High Energy Physics - Phenomenology · Physics 2009-10-30 M. Buza , W. L. van Neerven

We study the perturbative QCD description of the HERA measurements of $F_2 (x, Q^2)$ using a gluon distribution that is obtained from an evolution incorporating angular ordering of the gluon emissions, and which embodies both GLAP and BFKL…

High Energy Physics - Phenomenology · Physics 2009-10-28 J. Kwiecinski , A. D. Martin , P. J. Sutton

The cross-sections of diffractive double hadron photo- or electroproduction with large $p_T$, on a nucleon or a nucleus, are calculated to NLO accuracy. A hybrid formalism mixing collinear factorization and high energy small-$x$…

High Energy Physics - Phenomenology · Physics 2023-04-05 Michael Fucilla , Andrey V. Grabovsky , Emilie Li , Lech Szymanowski , Samuel Wallon

The high density effects should be manifest at small x and/or large nuclei. In this letter we consider the behavior of nuclear structure function $F_2^A$ slope in the kinematic region which could be explored in the future eA colliders as a…

High Energy Physics - Phenomenology · Physics 2009-10-31 V. P. Goncalves

Analytic formulae are derived for the complete photon energy spectrum due to QED corrections to fermion pair production in case of a limited angular acceptance for the final state fermions. After a numerical integration over the energy of…

High Energy Physics - Phenomenology · Physics 2009-10-31 D. Bardin , M. Bilenky , A. Sazonov , Yu. Sedykh , T. Riemann , M. Sachwitz

Combining the QCD dipole model with the Good and Walker picture, we formulate diffractive dissociation of a photon of virtuality Q^2 off a hadronic target, in the kinematical regime in which Q is close to the saturation scale and much…

High Energy Physics - Phenomenology · Physics 2009-11-10 S. Munier , A. Shoshi

I review the physical and mathematical foundations for the theoretical description of the hadron wavefunction at small $x$ as a Colour Glass Condensate. In this context, I discuss the phenomenon of gluon saturation and some of its…

High Energy Physics - Phenomenology · Physics 2011-01-25 Edmond Iancu

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

The numerical study of QED radiative corrections in the low $x$ region for the H1 experiment at HERA was performed. The analytical program TERAD91 was used to get the size of the radiative corrections for the measurement of the proton…

High Energy Physics - Phenomenology · Physics 2008-07-18 A. A. Akhundov

Results on the derivative of log(F_2) with respect to log(x) at fixed Q^2 are presented. The measured derivatives are within errors independent of x for Q^2 >= 0.85 GeV^2 and increase linearly with log(Q^2) for 0.0001 <= x <= 0.01 and Q^2…

High Energy Physics - Experiment · Physics 2019-08-14 Joerg Gayler

We study the magnetic field dependences of the conductivity in heavily doped, strongly disordered 2D quantum well structures within wide conductivity and temperature ranges. We show that the exact analytical expression derived in our…

Disordered Systems and Neural Networks · Physics 2011-06-21 S. A. Alavi , A. Tatar

The transverse size of q q-bar fluctuations of the longitudinal photon is reduced relative to the transverse size of q q-bar fluctuations of the transverse photon. This implies R(W^2, Q^2) = 0.375 or, equivalently, F_L(W^2,Q^2)/F_2(W^2,Q^2)…

High Energy Physics - Phenomenology · Physics 2008-07-08 Dieter Schildknecht

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

A new measurement of the proton structure function $F_2(x,Q^2)$ is reported for momentum transfers squared $Q^2$ between 1.5 GeV$^2$ and 5000 GeV$^2$ and for Bjorken $x$ between $3\cdot 10^{-5}$ and 0.32 using data collected by the HERA…

High Energy Physics - Experiment · Physics 2010-03-25 S. Aid , H1 Collaboration

The proton structure function F_2(x,Q^2) is measured in inelastic QED Compton scattering using data collected with the H1 detector at HERA. QED Compton events are used to access the kinematic range of very low virtualities of the exchanged…

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

These notes are a summary of our efforts to answer the question in the title. Our answer is in the affirmative as: (i) HERA data indicate a large value of the gluon structure function; (ii) no contradictions with the asymptotic predictions…

High Energy Physics - Phenomenology · Physics 2008-11-26 E. Gotsman , E. Levin , M. Lublinsky , U. Maor , E. Naftali , K. Tuchin

A simple analytic expression for the non-singlet structure function $f_{NS}$ is given. The expression is derived from the result of Ref. [1] obtained by low $x$ resummation of the quark ladder diagrams in the double logarithmic…

High Energy Physics - Phenomenology · Physics 2009-11-10 Michael Lublinsky

We perform the fit to the structure function $F_2$ data from HERA including terms due to the resummation at small $x$. The equation for the unintegrated gluon density is solved, previously established within the renormalization group…

High Energy Physics - Phenomenology · Physics 2022-07-13 Wanchen Li , Anna M. Stasto

QCD corrections to the QED formula for parton distribution functions of the longitudinal virtual photon are derived in the leading--logarithmic approximation. It is shown that the resulting PDF satisfy the same homogeneous evolution…

High Energy Physics - Phenomenology · Physics 2009-10-31 Jiri Chyla