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Different ``analytization'' procedures for the factorized pion form factor are discussed in comparison with the standard QCD perturbation theory at NLO. It is argued that demanding the analyticity of the exclusive amplitude as a…

High Energy Physics - Phenomenology · Physics 2007-05-23 N. G. Stefanis , A. P. Bakulev , A. I. Karanikas , S. V. Mikhailov

We study the phase diagram of non compact $QED_3$ using the $MFA$ method and present evidence for a continuous phase transition line at small $N_f$. We also analyze the chiral structure of the vacuum by means of the computation of the…

High Energy Physics - Lattice · Physics 2009-10-22 V. Azcoiti , G. Di Carlo , A. Galante , A. F. Grillo , V. Laliena , X. Q. Luo , C. E. Piedrafita

We consider the extension of the Jackson calculus into higher dimensions and specifically into Clifford analysis.

Complex Variables · Mathematics 2022-05-16 Martha Lina Zimmermann , Swanhild Bernstein , Baruch Schneider

Study of parton distribution function (PDF) is a topic of significant interest in QCD. To overcome the shortcomings of conventional PDFs, several alternative methods have been suggested in recent years. The present work reports the x…

High Energy Physics - Phenomenology · Physics 2009-10-14 D. K. Choudhury , Pijush Kanti Dhar

The summary of the results of our next-to-next-to-leading fits of Tevatron experimental data for $xF_3$ structure function of the $\nu N$ deep-inelastic scattering is given. The special attention is paid to the extraction of twist-4…

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

We investigate the feasibility of analyzing deep inelastic structure functions in Hamiltonian formalism by combining the light-front BJL limit of high energy amplitudes and the Fock space (multi-parton) description of hadrons. This study is…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Harindranath , Rajen Kundu

We discuss the combination of NNLO standard QCD evolution and scheme-invariant analysis for unpolarized DIS structure functions data as a method to reduce the theoretical errors on the determination of $\alpha_s(M_Z^2)$ to $\sim 1$% in…

High Energy Physics - Phenomenology · Physics 2015-06-25 J. Blümlein , A. Guffanti

We present a combined QCD analysis of recent data produced by the H1 and ZEUS collaborations on the diffractive and leading-proton deep inelastic positron--proton scattering structure functions, $F_2^{D(3)}$ and $F_2^{LP(3)}$, respectively.…

High Energy Physics - Phenomenology · Physics 2009-10-31 D. de Florian , R. Sassot

The alternative approach to QCD analysis of the photon structure function $F_2^{\gamma}$ is presented. It differs from the conventional one by the presence of the terms which in conventional approach appear in higher orders. We show that…

High Energy Physics - Phenomenology · Physics 2009-04-03 Jiri Hejbal

A theoretical framework is presented to treat hadronic observables within analytic perturbative QCD beyond the leading order of the coupling and for more than one single large momentum scale. The approach generalizes and extends the…

High Energy Physics - Phenomenology · Physics 2008-03-07 N. G. Stefanis , A. I. Karanikas

A QCD analysis of the world data on inclusive polarized deep inelastic scattering of leptons on nucleons is presented in leading and next-to-leading order. New parameterizations are derived for the quark and gluon distributions and the…

High Energy Physics - Phenomenology · Physics 2009-11-07 J. Blümlein , H. Böttcher

Perturbative solutions for unpolarized QED parton distribution and fragmentation functions are presented explicitly in the next-to-leading logarithmic approximation. The scheme of iterative solution of QED evolution equations is described…

High Energy Physics - Phenomenology · Physics 2023-09-06 A. B. Arbuzov , U. E. Voznaya

We briefly discuss recent results on the evolution of unpolarized parton densities and structure functions in massless perturbative QCD. Present partial results on the next-to-next-to-leading order (NNLO) evolution kernels prove sufficient…

High Energy Physics - Phenomenology · Physics 2009-10-31 W. L. van Neerven , A. Vogt

We present an analytical solution for the evolution of parton distributions incorporating mixed-order QCD $\otimes$ QED corrections, addressing both polarized and unpolarized cases. Using the Altarelli-Parisi kernels extended to mixed…

High Energy Physics - Phenomenology · Physics 2026-02-16 Daniel de Florian , Lucas Palma Conte

We re-examine the estimates of the higher twist contributions to the integral of $g_1$, the polarised structure function of the nucleon, based on QCD sum rules. By including corrections both to the perturbative contribution and to the low…

High Energy Physics - Phenomenology · Physics 2009-10-22 Graham G. Ross , R. G. Roberts

We study the evolution of the flavour non-singlet deep-inelastic structure functions F_{2,NS} and F_3 at the next-to-next-to-next-to-leading order (N^3LO) of massless perturbative QCD. The present information on the corresponding three-loop…

High Energy Physics - Phenomenology · Physics 2009-11-07 W. L. van Neerven , A. Vogt

There has recently been surprising progress in understanding the spin and flavor dependence of deep inelastic structure functions in terms of the same physics needed in the simple quark models used for hadronic spectroscopy. However, the…

High Energy Physics - Phenomenology · Physics 2010-03-26 F. M. Steffens , A. W. Thomas

In this thesis, we have investigated the higher twist structure functions in the recently developed method based on light-front Hamiltonian QCD. Because of various special properties of light-front QCD, this is a more intuitive approach…

High Energy Physics - Phenomenology · Physics 2007-05-23 Asmita Mukherjee

The results of LO {\it Fixed point} QCD (FP-QCD) analysis of the CCFR data for the nucleon structure function $~xF_3(x,Q^2)~$ are presented. The predictions of FP-QCD, in which $~\alpha_{s}(Q^2)~$ tends to a nonzero coupling constant…

High Energy Physics - Phenomenology · Physics 2016-09-01 Aleksander V. Sidorov , Dimiter B. Stamenov

We review the present status of polarized structure functions measured in deep-inelastic scattering. We discuss the x and Q^2 dependence of the structure function g_1, and how it can be used to test perturbative QCD at next-to-leading order…

High Energy Physics - Phenomenology · Physics 2008-02-03 Stefano Forte
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