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Related papers: Unitarity and Saturation in the Dipole Formulation

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We show that the HERA data for the inclusive structure function F_2(x,Q^2) for x < 0.01 and 0.045 < Q^2 < 45 GeV^2 can be well described within the color dipole picture, with a simple analytic expression for the dipole-proton scattering…

High Energy Physics - Phenomenology · Physics 2008-11-26 E. Iancu , K. Itakura , S. Munier

Saturation at low x appears as an almost unavoidable consequence of the two-gluon exchange generic structure. Consistency of the ansatz for the vector part of the color dipole cross section with conventional evolution determines the energy…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. Schildknecht

We show that the inclusion of parton density effects in the perturbative small-x evolution reduces the strength of the powerlike growth of total hadronic cross sections.

High Energy Physics - Phenomenology · Physics 2009-11-07 Alexander Kovner , Urs Achim Wiedemann

In this paper we continue to pursue a goal of finding the effective theory for high energy interaction in QCD based on the colour dipole approach, for which the BFKL Pomeron Calculus gives a low energy limit. The two key problems, that we…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. ~Kozlov , E. ~Levin , A. ~Prygarin

The relation between nuclear saturation and NN-correlations is examined. Nucleons bound in a nucleus have a reduced effective mass due to the mean field. This results in off-energy-shell scatterings modifying the free-space NN-interaction…

Nuclear Theory · Physics 2007-05-23 H. S. Köhler , S. A. Moszkowski

In this paper we argue that in the kinematic range given by $ 1 \ll \ln(1/\as^2) \ll \as Y \ll \frac{1}{\as}$, we can reduce the Pomeron calculus to the exchange of non-interacting Pomerons with the renormalized amplitude of their…

High Energy Physics - Phenomenology · Physics 2008-11-26 E. Levin , J. Miller , and A. Prygarin

We discuss the effects of the $s$-channel unitarization on the $x$ and $Q^{2}$ dependence of structure functions. The unitarization is implemented at the level of photoabsorption cross sections by resorting to the light--cone wave functions…

High Energy Physics - Phenomenology · Physics 2009-10-22 V. Barone , M. Genovese , N. N. Nikolaev , E. Predazzi , B. G. Zakharov

The uncertainties from the infrared renormalons in the (color dipole) gluon distribution is estimated. It is shown that non-linear saturation effects at small-$x$ shift the first IR pole at the Borel plane from $2/\beta_2$ to $1/\beta_2$.…

High Energy Physics - Phenomenology · Physics 2019-11-28 Nahid Vasim , Raktim Abir

We investigate the dependence of s-wave meson-baryon scattering amplitudes on different regularizations within the framework of the chiral unitary model. We employ two different regularization schemes, i.e. dimensional and form-factor…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. I. Nam , H. -Ch. KIm , T. Hyodo , D. Jido , A. Hosaka

Different forms of non-linear equations which mimic parton saturation in the non-perturbative regime are examined. These equations lead to corresponding unitarization schemes in the impact parameter representation of the hadron scattering…

High Energy Physics - Phenomenology · Physics 2008-11-26 O. V. Selyugin , J. -R. Cudell

An extensive generalization of the ordinary and quasi-eikonal methods is presented for the $pp$ and $\bar pp$ elastic scattering amplitudes, which takes into account in a phenomenological way all intermediate multiparticle states involving…

High Energy Physics - Phenomenology · Physics 2009-01-07 P. Desgrolard , M. Giffon , E. Martynov , E. Predazzi

We study in detail the main features of the unitarized Regge model (CFKS), recently proposed to describe the small-$Q^2$ domain. It takes into account a two-component description with two types of unitarized contributions: one is the…

High Energy Physics - Phenomenology · Physics 2011-09-13 M. B. Gay Ducati , E. G. Ferreiro , M. V. T. Machado , C. A. Salgado

We discuss results from a recently proposed all-order description of hard, radiative corrections to certain multi-jet processes at hadron colliders. The description is based on obtaining an all-order estimate of the t-channel singularities…

High Energy Physics - Phenomenology · Physics 2010-01-26 Jeppe R. Andersen , Jennifer M. Smillie

We explore possible extensions of the $t$-channel and $s$-channel unitary model of high energy evolution in zero transverse dimensions appropriate to very high energy/atomic number where the dipole density in a toy hadron is parametrically…

High Energy Physics - Phenomenology · Physics 2022-05-18 A. Kovner , E. Levin , M. Lublinsky

This talk summarises the current status of the NLL corrections to BFKL physics and discusses the question of small-x factorisation.

High Energy Physics - Phenomenology · Physics 2007-05-23 G. P. Salam

We analyze deep inelastic scattering at small Bjorken x, using the approximate conformal invariance of QCD at high energies. Hard pomeron exchanges are resummed eikonally, restoring unitarity at large values of the phase shift in the dual…

High Energy Physics - Phenomenology · Physics 2009-03-19 Lorenzo Cornalba , Miguel S. Costa

We study quantitatively the importance of the recently derived NLO corrections to the DIS structure functions at small x in the dipole formalism. We show that these corrections can be significant and depend on the factorization scheme used…

High Energy Physics - Phenomenology · Physics 2017-11-29 B. Ducloué , H. Hänninen , T. Lappi , Y. Zhu

We present a description of saturation in small $x$ deep inelastic scattering from power counting in a top-down effective theory derived from QCD. A factorization formula isolates the universal physics of the nucleus at leading power in…

High Energy Physics - Phenomenology · Physics 2024-07-01 Iain Stewart , Varun Vaidya

In this paper we revisit the discrepancy principle for Tikhonov regularization of nonlinear ill-posed problems in Hilbert spaces and provide some new and improved saturation results under less restrictive conditions, comparing with the…

Numerical Analysis · Mathematics 2024-05-15 Qinian Jin

Deep inelastic scattering at small x can be described very effectively using saturation inspired dipole models. We investigate whether such models are compatible with the numerical solutions of the Balitsky-Kovchegov (BK) equation which is…

High Energy Physics - Phenomenology · Physics 2007-06-13 Daniel Boer , Andre Utermann , Erik Wessels
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