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相关论文: Nonsinglet Contributions to the Structure Function…

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We present the scheme-invariant unpolarized and polarized flavor non-singlet evolution equation to N$^3$LO for the structure functions $F_2(x,Q^2)$ and $g_1(x,Q^2)$ including the charm- and bottom quark effects in the asymptotic…

高能物理 - 唯象学 · 物理学 2021-09-15 J. Blümlein , M. Saragnese

The world-line representation of quantum field theory is a powerful framework for the computation of perturbative multi-leg Feynman amplitudes. In particular, in gauge theories, it provides an efficient way, via point particle Grassmann…

高能物理 - 唯象学 · 物理学 2019-09-18 Andrey Tarasov , Raju Venugopalan

We analyze the general nonlinear evolution equations for multi gluon correlators derived in hep-ph/9709432 by restricting ourselves to a double logarithmic region. In this region our evolution equation becomes local in transverse momentum…

高能物理 - 唯象学 · 物理学 2014-11-17 Jamal Jalilian-Marian , Alex Kovner , Andrei Leonidov , Heribert Weigert

The small-$x$ contributions to the Bjorken sum rule within double logarithmic $ln^2x$ approximation for different input parametrisations $g_1^{NS}(x,Q_0^2)$ are presented. Analytical solutions of the evolution equations for full and…

高能物理 - 唯象学 · 物理学 2007-05-23 Dorota Kotlorz , Andrzej Kotlorz

We investigate the influence of higher twist corrections to deep inelastic structure functions in the low-$Q^2$ and small-$x$ HERA region. We review the general features of the lowest-order QCD diagrams which contribute to twist-4 at…

高能物理 - 唯象学 · 物理学 2008-11-26 J. Bartels , K. Golec-Biernat , K. Peters

We show that the nonlinear corrections to the longitudinal structure function can be tamed the singularity behavior at low x values, with respect to GLR-MQ equations. This approach can determined the shadowing longitudinal structure…

高能物理 - 唯象学 · 物理学 2016-11-15 B. Rezaei , G. R. Boroun

We study in detail the flavor-non-singlet component of polarized structure functions in the framework of a consistent and complete next-to-leading order (${\cal O}(\alpha_s))$ analysis. In this context, we discuss some important features of…

高能物理 - 唯象学 · 物理学 2009-10-28 M. Stratmann , A. Weber , W. Vogelsang

We search for deviations from next-to-leading order QCD evolution in HERA structure function data. We compare to data predictions for structure functions in the small x region, obtained by evolving backwards to low Q^2 the results of a…

高能物理 - 唯象学 · 物理学 2014-11-20 Fabrizio Caola , Stefano Forte , Juan Rojo

Small-$x$ logarithmic enhancements arising from high-energy gluon emissions affect both the evolution of collinearly-factorized parton densities and partonic coefficient functions. With the higher collider energy reached by the LHC, the…

高能物理 - 唯象学 · 物理学 2016-11-04 Marco Bonvini , Simone Marzani , Tiziano Peraro

Explicit expressions for the singlet g_1 at small x and small Q^2 are obtained with the total resummation of the leading logarithmic contributions. It is shown that g_1 practically does not depend on Q^2 in this kinematic region. In…

高能物理 - 唯象学 · 物理学 2008-11-26 B. I. Ermolaev , M. Greco , S. I. Troyan

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…

高能物理 - 唯象学 · 物理学 2007-05-23 J. Blümlein , A. Vogt

We examine critically the evidence for deviations from next-to-leading order perturbative DGLAP evolution in HERA data. We briefly review the status of perturbative small-x resummation and of global determinations of parton distributions.…

高能物理 - 唯象学 · 物理学 2011-03-15 Fabrizio Caola , Stefano Forte , Juan Rojo

An analytical solution of the QCD evolution equations for the singlet and gluon distribution is presented. We decouple DGLAP evolution equations into the initial conditions by using a Laplace transform method at $N^{n}LO$ analysis. The…

高能物理 - 唯象学 · 物理学 2019-05-13 B. Rezaei , G. R. Boroun

The running of the QCD coupling is incorporated into the infrared evolution equations for the flavour structure function g_1. The explicit expressions for g_1 including the total resummation of the double-logarithmic contributions and…

高能物理 - 唯象学 · 物理学 2008-11-26 B. I. Ermolaev , M. Greco , S. I. Troyan

An approach is elaborated for calculation of "all loop" contributions to the non-singlet evolution kernels from the diagrams with renormalon chain insertions. Closed expressions are obtained for sums of contributions to kernels $P(z)$ for…

高能物理 - 唯象学 · 物理学 2014-11-17 S. V. Mikhailov

We have studied the recently completed analytic all-N expressions for the four-loop anomalous dimensions corresponding to the next-to-next-to-next-to-leading order splitting functions for the non-singlet quark distribution in perturbative…

高能物理 - 唯象学 · 物理学 2026-05-06 S. Moch , A. Vogt

We make predictions for the diffractive longitudinal structure function F_L^D to be measured at HERA, based on DGLAP fits of diffractive parton distributions with twist--4 contribution. This contribution describes diffractive qqbar…

高能物理 - 唯象学 · 物理学 2007-11-20 Krzysztof Golec-Biernat , Agnieszka Luszczak

A survey is given of recent developments on the resummed small-$x$ evolution, in a framework based on the renormalization group equation, of non--singlet and singlet structure functions in both unpolarized and polarized deep--inelastic…

高能物理 - 唯象学 · 物理学 2015-06-25 J. Blümlein , S. Riemersma , A. Vogt

We present calculations of structure functions using a renormalization scheme consistent expansion which is leading order in both ln(1/x) and \alpha_s(Q^2). There is no factorization scheme dependence, and the ``physical anomalous…

高能物理 - 唯象学 · 物理学 2009-10-28 Robert S. Thorne

We argue that the use of the universal unintegrated gluon distribution and the $k_T$ (or high energy) factorization theorem provides the natural framework for describing observables at small x. We introduce a coupled pair of evolution…

高能物理 - 唯象学 · 物理学 2014-11-17 J. Kwiecinski , A. D. Martin , A. M. Stasto