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The overlap of the nucleons in nuclei plays an important role in understanding the nuclear dependence of deep inelastic scattering data. It is shown that the nuclear modification of the higher twist scale can be essentially determined by…

Nuclear Theory · Physics 2009-11-10 P. Castorina

A leading twist expansion in terms of bi-local operators is proposed for the structure functions of deeply inelastic scattering near the elastic limit $x \to 1$, which is also applicable to a range of other processes. Operators of…

High Energy Physics - Phenomenology · Physics 2014-11-17 R. Akhoury , M. G. Sotiropoulos , G. Sterman

QCD-inspired phenomenological analysis of experimental moments of proton and deuteron structure functions F2 have been presented. The obtained results on the d/u ratio at large-x, isospin dependence of higher twists and comparison with…

High Energy Physics - Phenomenology · Physics 2007-11-14 M. Osipenko

The nucleon mass corrections are calculated to all polarized structure functions for neutral and charged current deep inelastic scattering in lowest order in the coupling constant. The impact of the target mass corrections on the general…

High Energy Physics - Phenomenology · Physics 2009-10-31 J. Blumlein , A. Tkabladze

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 reanalyze deep inelastic scattering data of BCDMS Collaboration by including proper cuts of ranges with large systematic errors. We perform also the fits of high statistic deep inelastic scattering data of BCDMS, SLAC, NM and BFP…

High Energy Physics - Phenomenology · Physics 2009-11-10 V. G. Krivokhijine , A. V. Kotikov

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

The role of local higher-twist ($\tau > 3$) spin-1/2 fermionic operators of the strongly coupled ${\cal {N}}=4$ supersymmetric Yang-Mills theory on the symmetric and antisymmetric deep inelastic scattering (DIS) structure functions is…

High Energy Physics - Theory · Physics 2021-05-19 David Jorrin , Martin Schvellinger

We calculate the leading $1/N_f$ perturbative contributions to the polarized nonsinglet structure functions $g_3$ and $g_5$ to all orders in $\alpha_s$. The contributions from the first renormalon pole are determined. It is a measure for…

High Energy Physics - Phenomenology · Physics 2009-10-31 Benedikt Lehmann-Dronke , Andreas Schäfer

Calculations are presented of the longitudinal structure function $F_L(x, Q^2)$. We use next-to-leading order expressions in QCD $({\cal{O}}(\alpha_s^2))$ plus parton densities determined previously from global fits to data on deep…

High Energy Physics - Phenomenology · Physics 2014-11-17 Edmond L. Berger , Ruibin Meng

Deep inelastic scattering data on $F_2$ structure function obtained by BCDMS, SLAC and NMC collaborations in fixed-target experiments were analyzed in the non-singlet approximation with next-to-next-to-leading-order accuracy. The strong…

High Energy Physics - Phenomenology · Physics 2015-09-02 A. V. Kotikov , V. G. Krivokhizhin , B. G. Shaikhatdenov

We present an analysis of the $xF_3(x,Q^2)$ structure function and Gross-Llewellyn Smith(GLS) sum rule taking into account the nuclear effects and higher twist correction. This analysis is based on the results presented in "N. M. Nath et…

High Energy Physics - Phenomenology · Physics 2017-03-23 N. M. Nath , A. Mukharjee , M. K. Das , J. K. Sarma

We investigate the dependence of the deep inelastic proton structure function $F_L(x, Q^2)$ on different forms of the transverse momentum dependent (TMD, or unintegrated) gluon distribution. We present a comparison of theoretical results…

High Energy Physics - Phenomenology · Physics 2023-01-25 Lipatov A. V. , Lykasov G. I. , Malyshev M. A

A model for the longitudinal structure function $F_L$ at low $x$ and low $Q^2$ is presented, which includes the kinematical constraint $F_L \sim Q^4$ as $Q^2 \rightarrow 0$. It is based on the photon-gluon fusion mechanism suitably…

High Energy Physics - Phenomenology · Physics 2007-05-23 B. Badelek , J. Kwiecinski , A. Stasto

In recent years, Fractal Inspired Models of quark and gluon densities at small x have been proposed. In this paper, we investigate longitudinal structure function F-L (x, Q2) within this approach. We make predictions using the QCD based…

High Energy Physics - Phenomenology · Physics 2014-04-28 Akbari Jahan , D. K. Choudhury

In this paper, we calculate the next-to-leading-order (NLO) twist-3 contribution to the form factors of $B \to \pi$ transitions by employing the $k_{T}$ factorization theorem. All the infrared divergences regulated by the logarithms…

High Energy Physics - Phenomenology · Physics 2014-05-14 Shan Cheng , Ying-Ying Fan , Xin Yu , Cai-Dian Lü , Zhen-Jun Xiao

We introduce a numerical linked cluster expansion for square-lattice models whose building block is an L-shape cluster. For the spin-1/2 models studied in this work, we find that this expansion exhibits a similar or better convergence of…

Statistical Mechanics · Physics 2025-07-10 Mahmoud Abdelshafy , Marcos Rigol

In the semiclassical approach, inclusive and diffractive quark and gluon distributions are expressed in terms of correlation functions of Wilson loops. Each Wilson loop integrates the colour field strength in the area between the…

High Energy Physics - Phenomenology · Physics 2010-03-25 W. Buchmuller , T. Gehrmann , A. Hebecker

We present the results of our QCD analysis for non-singlet unpolarized quark distributions and structure function $F_2(x,Q^2)$ up to N$^3$LO. In this regards 4-loop anomalous dimension can be obtain from the Pad\'e approximations. The…

High Energy Physics - Phenomenology · Physics 2010-02-03 Ali N. Khorramian , H. Khanpour , S. Atashbar Tehrani

We calculate the subleading twist contributions to the endpoint of the inclusive lepton energy spectrum in B -> X_u l \nu. We show that the same two subleading twist functions that appear in the decay B -> X_s \gamma govern the subleading…

High Energy Physics - Phenomenology · Physics 2011-02-01 Christian W. Bauer , Michael Luke , Thomas Mannel