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We have calculated $\bar{MS}$ Wilson coefficients and anomalous dimensions for the non-singlet part of the structure function F_2 in the large-N_F limit. Our result agrees with exact two and three loop calculations and gives the leading N_F…

High Energy Physics - Phenomenology · Physics 2009-10-30 L. Mankiewicz , M. Maul , E. Stein

Following a previous study of the one-loop factorization of the nonsinglet $g_2$ structure function of the nucleon, we present in this paper the next-to-leading order coefficient functions in the singlet sector. To obtain the result, the…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. V. Belitsky , Xiangdong Ji , Wei Lu , Jonathan Osborne

We present the first calculation at next-to-leading order (NLO) in $\alpha_s$ of a fragmentation function into quarkonium whose form at leading order is a nontrivial function of $z$, namely the fragmentation function for a gluon into a…

High Energy Physics - Phenomenology · Physics 2015-05-20 Pierre Artoisenet , Eric Braaten

We show that the diffractive structure function is perturbatively calculable in the domain where the diffractive mass is small but still outside the resonance region. In this domain, which can be characterized by Lambda^2/Q^2 << 1-beta <<…

High Energy Physics - Phenomenology · Physics 2009-02-20 A. Hebecker , T. Teubner

We parametrize the small x, singlet component of the proton structure function F_2 by powers and logarithms of 1/x for discrete values of Q^2 between 0.2 and 2000 GeV^2, and compare these parametrizations by applying the criterion of…

High Energy Physics - Phenomenology · Physics 2009-10-31 P. Desgrolard , L. Jenkovszky , A. Lengyel , F. Paccanoni

We analyse LEP and PETRA data on single inclusive charged hadron cross-sections to establish new sets of Next-to-Leading order Fragmentation Functions. Data on hadro-production of large-$p_{\bot}$ hadrons are also used to constrain the…

High Energy Physics - Phenomenology · Physics 2010-03-25 L. Bourhis , M. Fontannaz , J. Ph. Guillet , M. Werlen

We recently completed a calculation of the process $e^+e^- \to Q\bar{Q}+X$, where Q is a heavy quark, at order $O(\alpha_s^2)$. As a first application of this calculation we compute the momentum correlations of $b\bar{b}$ pairs at…

High Energy Physics - Phenomenology · Physics 2016-09-06 P. Nason , C. Oleari

We present a fully analytic computation of the complete electron and photon structure functions, or QED lepton parton distribution functions (PDFs) up to two-loop order. Our computation is performed using modern techniques of reduction to…

High Energy Physics - Phenomenology · Physics 2025-09-23 Marvin Schnubel , Robert Szafron

We show that the all order summation of small x logarithms cannot be included in the Q^2 evolution of structure functions because the NLLx corrections overwhelm the LLx contribution.

High Energy Physics - Phenomenology · Physics 2007-05-23 Richard D. Ball , Stefano Forte

We show that when screening corrections are included $\frac{\partial F_{2}(x,Q^{2})}{\partial ln(Q^{2}/Q_{0}^{2})}$ is consistent with the behaviour that one expects in pQCD. Screening corrections explain the enigma of the Caldwell plot.…

High Energy Physics - Phenomenology · Physics 2007-05-23 E. Gotsman

In this paper, by employing the $k_{T}$ factorization theorem, we calculate firstly the next-to-leading-order (NLO) twist-3 contributions to the pion electromagnetic form factors in the $\pi\gamma^* \to \pi$ process. From the analytical and…

High Energy Physics - Phenomenology · Physics 2014-03-26 Shan Cheng , Ying-Ying Fan , Zhen-Jun Xiao

The next to leading order (NLO) contribution of the generalized finite size mass shift formula for an interacting two stable particle system in a periodic $L^{3}$ box is discriminated with maintaining its model independent structure and…

High Energy Physics - Lattice · Physics 2007-05-23 Yoshiaki Koma , Miho Koma

We have calculated the n_f^2 and n_f^3 contributions to the flavour non-singlet structure functions F_2 and F_L in inclusive deep-inelastic scattering at the fourth order in the strong coupling alpha_s. The coefficient functions have been…

High Energy Physics - Phenomenology · Physics 2023-04-12 A. Basdew-Sharma , A. Pelloni , Franz Herzog , A. Vogt

The formulas directly connecting parton distribution functions (PDFs) and fragmentation functions (FFs) at the next to leading order (NLO) QCD with the same quantities at the leading order (LO) are derived. These formulas are universal,…

High Energy Physics - Phenomenology · Physics 2013-06-12 O. Yu. Shevchenko

We start from the two existing QCD evolution equations for structure functions, the BFKL and DGLAP equations, and discuss the theoretical hints for a unifying picture of the evolution in $x$ and $Q^2.$ The main difficulty is due to the…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. Peschanski

The longitudinal structure function for nucleons and nuclei is considered at fixed $\sqrt{s}$ and $Q^2$ to the minimum value of $x$ given by $Q^2/s$. This is done using the expansion method and color dipole model in the next-to-leading…

High Energy Physics - Phenomenology · Physics 2025-10-21 G. R. Boroun

We predict the effect of the charm structure function on the longitudinal structure function at small x. In NLO analysis we find that the hard Pomeron behavior gives a good description of $F_{L}$ and $F^{c}_{k}$ (k = 2,L) at small x values.…

High Energy Physics - Phenomenology · Physics 2015-06-18 B. Rezaei , G. R. Boroun

We propose a phenomenological study of the Balitsky-Fadin-Kuraev-Lipatov (BFKL) approach applied to the data on the proton structure function $F_2$ measured at HERA in the small-$x_{Bj}$ region ($x_{Bj}<0.01$) and $Q^2$ in the range 5 to…

High Energy Physics - Phenomenology · Physics 2007-05-23 L. Schoeffel

The next-to-next-to-leading order (NNLO) QCD analysis of the experimental $xF_3$ structure function from CCFR data is performed. The theoretical uncertainties of the analysis are discussed.

High Energy Physics - Phenomenology · Physics 2007-05-23 A. L. Kataev , G. Parente , A. V. Sidorov

We report a calculation of approximate next-to-next-to-leading-order (N$^2$LO) and next-to-N$^2$LO (N$^3$LO) QCD corrections to associated $tW$ production at the LHC, which constitute the dominant contributions to full perturbative…

High Energy Physics - Phenomenology · Physics 2025-12-12 Jia-Le Ding , Hai Tao Li , Jian Wang