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Related papers: QCD with Analytic Coupling: Recent Results

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By incorporating contributions from both the (chromo)electric scale $gT$ and (chromo)magnetic scale $g^2T$, we establish spectral sum rules of quarks for strongly coupled QCD that respect Fermi-Dirac statistics as required by quantum…

High Energy Physics - Theory · Physics 2024-12-31 Yi-Lun Du , Nan Su , Konrad Tywoniuk

We derive the algebraic relations of alternating and non-alternating finite harmonic sums up to the sums of depth~6. All relations for the sums up to weight~6 are given in explicit form. These relations depend on the structure of the index…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. Blümlein

Considering a fixed-flavor number scheme and based on laplace transdormation, we perform a leading-order and next-to-leading-order QCD analysis which are including world data on polarized structure functions $g_1$ and $g_2$. During our…

High Energy Physics - Phenomenology · Physics 2023-03-28 Hoda Nematollahi , Abolfazl Mirjalili , Shahin Atashbar Tehrani

We review the main results of next-to-leading order QCD analyses of polarized deep-inelastic scattering data, with special attention to the assessment of theoretical uncertainties.

High Energy Physics - Phenomenology · Physics 2009-10-31 G. Ridolfi

The current status of theoretical QCD calculations and experimental measurements of the Gottfried sum rule are discussed. The interesting from our point of view opened problems are summarised. Among them is the task of estimating the…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. L. Kataev

New relations between QCD Borel sum rules for strong coupling constants of K-mesons to baryons are derived. It is shown that starting from the sum rule for the coupling constants $g_{\pi\Sigma\Sigma}$ and $g_{\pi\Sigma\Lambda}$ it is…

High Energy Physics - Phenomenology · Physics 2009-11-11 T. Aliev , A. Ozpineci , S. B. Yakovlev , V. S. Zamiralov

Using the CCFR data for the Gross--Llewellyn Smith (GLS) sum rule, we extract the strong coupling constant via Borel resummation of the perturbative QCD calculation. The method incorporates the correct nature of the first infrared…

High Energy Physics - Phenomenology · Physics 2009-11-07 Carlos Contreras , Gorazd Cvetic , Kwang Sik Jeong , Taekoon Lee

We review the perturbative approach to multiparticle production in hard collision processes. It is investigated to what extent parton level analytical calculations at low momentum cut-off can reproduce experimental data on the hadronic…

High Energy Physics - Phenomenology · Physics 2016-11-23 Valery A. Khoze , Wolfgang Ochs , J. Wosiek

In recent years there has been much progress on the investigation of the QCD phase diagram with lattice QCD simulations. In this review I focus on the developments in the last two years. Especially the addition of external influences or new…

High Energy Physics - Lattice · Physics 2021-02-17 Jana N. Guenther

I review recent theoretical developments and numerical results of twisted mass QCD. I argue that, combined with an efficient algorithm, twisted mass QCD can be an attractive QCD lattice action, to perform large scale simulations at small…

High Energy Physics - Lattice · Physics 2007-05-23 Andrea Shindler

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

Selected recent QCD and top-quark results from the Tevatron are reviewed, aiming to illustrate progression from basic studies of QCD processes to verification of perturbative calculations and Monte Carlo simulation tools, and to their…

High Energy Physics - Experiment · Physics 2008-11-26 Marek Zielinski

We study $\bar{Q}Q\bar{q}q$ and $\bar{Q}qQ\bar{q}$ states as mixed states in QCD sum rules. By calculating the two-point correlation functions of pure states of their corresponding currents, we review the mass and coupling constant…

High Energy Physics - Phenomenology · Physics 2022-06-08 Ze-Sheng Chen , Zhuo-Ran Huang , Hong-Ying Jin , T. G. Steele , Zhu-Feng Zhang

After discussing results of dilepton rates and electrical conductivity obtained from continuum extrapolated results of light quark correlation functions in quenched QCD I will give a review on recent developments in lattice QCD studies for…

High Energy Physics - Lattice · Physics 2012-08-21 O. Kaczmarek

We present a general overview of recent QCD results at hadronic colliders.

High Energy Physics - Experiment · Physics 2007-05-23 C. Royon

Recently developed analytic methods in the framework of the Field Correlator Method are reviewed in this series of four lectures and results of calculations are compared to lattice data and experiment. Recent lattice data demonstrating the…

High Energy Physics - Phenomenology · Physics 2009-10-31 Yu. A. Simonov

The current status of the QCD coupling constant $\alpha_S$ and experimental and theoretical studies of hadronic jets are reviewed.

High Energy Physics - Phenomenology · Physics 2007-05-23 B R Webber

For the GLS and Bjorken DIS sum rules we compare fixed-order NNLO perturbative QCD estimates, and all-orders resummed estimates, with the available data, in order to assess the reliability of fixed-order perturbation theory at rather small…

High Energy Physics - Phenomenology · Physics 2007-06-22 Paul M. Brooks , C. J. Maxwell

In this survey paper we discuss some recent results and related open questions in additive combinatorics, in particular, questions about sumsets in finite abelian groups.

Number Theory · Mathematics 2022-11-04 Bela Bajnok

We study the applicability of Pade Approximants (PA) to estimate a "sum" of asymptotic series of the type appearing in QCD. We indicate that one should not expect PA to converge for positive values of the coupling constant and propose to…

High Energy Physics - Theory · Physics 2007-05-23 Maciej Pindor