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Power-suppressed corrections to parton evolution may affect the theoretical accuracy of current determinations of parton distributions. We study the role of multigluon-exchange terms in the extraction of the gluon distribution for the Large…

High Energy Physics - Phenomenology · Physics 2008-11-26 F. Hautmann

We obtain the basic analytic properties, i.e. meromorphic continuation, polar structure and bounds for the order of growth, of all the nonlinear twists with exponents $\leq 1/d$ of the L-functions of any degree $d \geq 1$ in the extended…

Number Theory · Mathematics 2016-06-14 J. Kaczorowski , A. Perelli

We evaluate the contribution of a class of higher-twist operators to the lowest moment of the Structure Functions, by computing appropriate matrix elements of six four-fermion operators in the quenched approximation. Their perturbative…

High Energy Physics - Lattice · Physics 2015-06-25 S. Capitani , M. Göckeler , R. Horsley , B. Klaus , V. Linke , P. Rakow , A. Schäfer , G. Schierholz

Misprints and numerical coefficients corrected, a bit of phenomenology and one figure added. The case for the linear evolution of the unitarized structure functions made stronger.

High Energy Physics - Phenomenology · Physics 2014-11-17 N. N. Nikolaev , B. G. Zakharov

We describe the determination of the DIS structure functions $F_{2}$ and $F_{L}$ by using the singlet Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP) and Altarelli-Martinelli equations at small values of $x$. The determination of the…

High Energy Physics - Phenomenology · Physics 2021-04-22 G. R. Boroun , B. Rezaei

We perform a NLO QCD analysis of the nonsinglet part of the combined SLAC-BCDMS-NMC data on inclusive deep inelastic cross section with the extraction of $\alpha_s$. We show that the value of $\alpha_s$ obtained in the analysis is sensitive…

High Energy Physics - Phenomenology · Physics 2007-05-23 Alekhin Sergey

Shadowing corrections to structure functions of heavy nuclei are calculated at very low values of Bjorken-$x$ and at values of the momentum transfer relevant to recent experiments. Good agreement is obtained with data from the E665…

Nuclear Theory · Physics 2008-11-26 W. Melnitchouk , A. W. Thomas

We compute in the instanton vacuum the nucleon matrix elements of the twist-4 QCD operators describing power corrections to the second moments of the unpolarized structure functions, F_L and F_2. Our approach takes into account the leading…

High Energy Physics - Phenomenology · Physics 2009-10-31 B. Dressler , M. Maul , C. Weiss

We discuss the longitudinal structure function in nuclear DIS at small $x$. We work within the framework of universal parton densities obtained in DGLAP analyses at NLO. We show that the nuclear effects on the longitudinal structure…

High Energy Physics - Phenomenology · Physics 2014-11-21 N. Armesto , H. Paukkunen , C. A. Salgado , K. Tywoniuk

In this paper we study reconstruction of a function $f$ from its discrete Radon transform data in $\mathbb R^3$ when $f$ has jump discontinuities. Consider a conventional parametrization of the Radon data in terms of the affine and angular…

Numerical Analysis · Mathematics 2019-03-21 Alexander Katsevich

Hypergeometric functions provide a useful representation of Feynman diagrams occuring in precision phenomenology. In dimension regularization, the epsilon-expansion of these functions about d=4 is required. We discuss the current status of…

High Energy Physics - Phenomenology · Physics 2008-10-06 S. A. Yost , M. Yu. Kalmykov , B. F. L. Ward

We propose a new method for extracting neutron structure functions from inclusive structure functions of nuclei. Unlike earlier approaches, the new method is applicable to both spin-averaged and spin-dependent structure functions. We test…

Nuclear Theory · Physics 2014-11-18 Yonatan Kahn , W. Melnitchouk , S. A. Kulagin

We construct a parametrization of deep-inelastic structure functions which retains information on experimental errors and correlations, and which does not introduce any theoretical bias while interpolating between existing data points. We…

High Energy Physics - Phenomenology · Physics 2011-04-12 Stefano Forte , Lluis Garrido , Jose I. Latorre , Andrea Piccione

We study nucleon structure functions within the bosonized Nambu-Jona-Lasinio (NJL) model where the nucleon emerges as a chiral soliton. We discuss the model predictions on the Gottfried sum rule for electron-nucleon scattering. A comparison…

High Energy Physics - Phenomenology · Physics 2009-10-30 H. Weigel , L. Gamberg , H. Reinhardt

We compute the longitudinal proton structure function F_L from the k_T factorization scheme, using the unified DGLAP/BFKL resummation approach at small x for the unintegrated gluon density. The differences between the k_T factorization,…

High Energy Physics - Phenomenology · Physics 2009-11-20 Krzysztof Golec-Biernat , Anna M. Stasto

The structure functions b_{1,2}^D(X) of the deuteron are studied within covariant approach. It is shown that usual nonrelativistic convolution model result in incorrect behavior of this structure functions at small X and violates the exact…

High Energy Physics - Phenomenology · Physics 2009-10-28 A. Yu. Umnikov

Diffractive parton distributions of the proton are determined from fits to diffractive data from HERA. In addition to the twist--2 contribution, the twist--4 contribution from longitudinally polarised virtual photons is considered, which is…

High Energy Physics - Phenomenology · Physics 2010-03-25 K. Golec-Biernat , A. Luszczak

The resummation of $O(\alpha_s^{l+1} \ln^{2l} x)$ terms in the evolution kernels of non--singlet combinations of unpolarized and polarized structure functions is investigated. The agreement with complete calculations up to order…

High Energy Physics - Phenomenology · Physics 2011-09-29 Johannes Blümlein , Andreas Vogt

We consider diagrams with up to four t-channel gluons in order to specify gluonic twist-four contributions to deep inelastic structure functions. This enables us to extend the method developed by R.K.Ellis, W.Furmanski, and R.Petronzio…

High Energy Physics - Phenomenology · Physics 2007-05-23 Jochen Bartels , Claas Bontus , Hubert Spiesberger

We explain spin structure for a spin-one hadron, in which there are new structure functions, in addition to the ones ($F_1$, $F_2$, $g_1$, $g_2$) which exist for the spin-1/2 nucleon, associated with its tensor structure. The new structure…

High Energy Physics - Phenomenology · Physics 2015-06-22 S. Kumano