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Related papers: Small-x Resummation and HERA Structure Function Da…

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We provide an assessment of the impact of parton distributions on the determination of LHC processes, and of the accuracy with which parton distributions (PDFs) can be extracted from data, in particular from current and forthcoming HERA…

It is shown that the CKMT model for the nucleon structure function $F_2$ gives a good description of the recent HERA data at low and moderate $Q^2$. Also the fit to the same data obtained with a modified version of the model in which a…

High Energy Physics - Phenomenology · Physics 2011-09-13 A. B. Kaidalov , C. Merino

Using an analytical parameterization for the behavior of the x slope of the structure function F_2 at small x in perturbative QCD, at the leading twist approximation of the Wilson operator product expansion, and applying a flat initial…

High Energy Physics - Phenomenology · Physics 2014-11-17 A. V. Kotikov , G. Parente

We investigate the effect of large-x resummation on parton distributions by performing a fit of Deep Inelastic Scattering data from the NuTeV, BCDMS and NMC collaborations, using NLO and NLL soft-resummed coefficient functions. Our results…

High Energy Physics - Phenomenology · Physics 2015-06-25 Gennaro Corcella , Lorenzo Magnea

On the basis of the results of a new renormalisation group improved small-x resummation scheme, we argue that the range of validity of perturbative calculations is considerably extended in rapidity with respect to leading log expectations.…

High Energy Physics - Phenomenology · Physics 2011-07-19 M. Ciafaloni , D. Colferai , G. P. Salam , A. M. Stasto

We consider the resummation of soft-gluon effects in heavy quark to heavy quark decays, namely the processes Q1 -> Q2 + (non QCD partons), where Q1 and Q2 are two different heavy quarks. We construct a new factorization scheme for threshold…

High Energy Physics - Phenomenology · Physics 2023-05-29 U. G. Aglietti , G. Ferrera

We propose a modified Balitsky-Fadin-Kuraev-Lipatov equation from the viewpoint of the resummation technique, which contains an intrinsic dependence on momentum transfer Q, and satisfies the unitarity bound. The idea is to relax the strong…

High Energy Physics - Phenomenology · Physics 2016-09-06 Hsiang-nan Li

The impact of the resummation of leading small-$x$ terms in the anomalous dimensions is briefly summarized for the evolution of non--singlet and singlet polarized structure functions.

High Energy Physics - Phenomenology · Physics 2007-05-23 J. Blümlein , A. Vogt

We show that a unified approach to the perturbative evolution of structure functions which sums all logarithms of Q^2 and 1/x at leading and next-to-leading order yields results in full agreement with the 1993 HERA data for F_2. This makes…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. D. Ball , S. Forte

It is shown that in the leading twist approximation of the Wilson operator product expansion with "frozen" and analytic strong coupling constants, Bessel-inspired behavior of the structure functions F2 and F2cc and also the derivative d(ln…

High Energy Physics - Phenomenology · Physics 2012-12-18 A. V. Kotikov

Total resummation of double- and single- logarithms of x contributing to the spin-dependent structure function g_1 ensures its steep rise at small $x$. In the asymptotic limit x ->0, the resummation leads to the Regge behavior of g_1 and…

High Energy Physics - Phenomenology · Physics 2007-05-23 B. I. Ermolaev , M. Greco , S. I. Troyan

A brief overview is presented of recent developments concerning resummed small-x evolution, based upon the renormalization group equation. The non-singlet and singlet structure functions are discussed for both polarized and unpolarized…

High Energy Physics - Phenomenology · Physics 2011-04-15 J. Blümlein , S. Riemersma , A. Vogt

In this paper we compare the experimental HERA data with the next-to-leading order approach (NLO) of Ref.[C.~Contreras, E.~Levin, R.~Meneses and M.~Sanhueza,Eur. Phys. J. C 80 (2020) no.11, 1029). This approach includes the re-summed NLO…

High Energy Physics - Phenomenology · Physics 2022-01-05 Carlos Contreras , Eugene Levin , Michael Sanhueza

The resummation of $O(\alpha^{l+1} \ln^{2l} x)$ terms in the evolution kernels of non--singlet combinations of structure functions is investigated for both QED abd QCD. Numerical results are presented for unpolarized and polarized structure…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. Blümlein , A. Vogt

It is well known that there are persistent statistical tensions with the standard model in the low Q2 HERA deep inelastic scattering neutral current data characterized by a turn-over of F2(x, Q2) at low x and low Q2. One important…

High Energy Physics - Phenomenology · Physics 2024-07-02 Frank E. Taylor

We define a general scheme for the evolution of fragmentation functions which resums both soft gluon logarithms and mass singularities in a consistent manner and to any order, and requires no additional theoretical assumptions. Using the…

High Energy Physics - Phenomenology · Physics 2010-03-25 S. Albino , B. A. Kniehl , G. Kramer , W. Ochs

We pursue the hypothesis that the events with a large rapidity gap, observed at HERA, reflect the scattering of electrons off lumps of wee partons inside the proton. A simple scaling behaviour is predicted for the diffractive structure…

High Energy Physics - Phenomenology · Physics 2009-10-28 Wilfried Buchmuller

Local reconstruction analysis (LRA) is a powerful and flexible technique to study images reconstructed from discrete generalized Radon transform (GRT) data, $g=\mathcal R f$. The main idea of LRA is to obtain a simple formula to accurately…

Numerical Analysis · Mathematics 2025-06-27 Alexander Katsevich

We summarize our recent results on the small x resummation of the singlet anomalous dimension. We recall the main features of our approach, and briefly describe some work in progress on the inclusion of subleading corrections to it.

High Energy Physics - Phenomenology · Physics 2009-11-10 Guido Altarelli , Richard D. Ball , Stefano Forte

We construct a set of parton distribution functions (PDFs) in which fixed-order NLO and NNLO calculations are supplemented with soft-gluon (threshold) resummation up to NLL and NNLL accuracy respectively, suitable for use in conjunction…

High Energy Physics - Phenomenology · Physics 2015-10-13 Marco Bonvini , Simone Marzani , Juan Rojo , Luca Rottoli , Maria Ubiali , Richard D. Ball , Valerio Bertone , Stefano Carrazza , Nathan P. Hartland
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