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We investigate a new ``renormalization invariant analytic formulation'' of calculations in quantum chromodynamics, where the renormalization group summation is correlated with the analyticity with respect to the square of the transferred…

High Energy Physics - Phenomenology · Physics 2009-10-31 I. L. Solovtsov , D. V. Shirkov

The power corrections in the Operator Product Expansion (OPE) of QCD correlators can be viewed mathematically as an illustration of the transseries concept, which allows to recover a function from its asymptotic divergent expansion.…

High Energy Physics - Phenomenology · Physics 2020-09-29 Irinel Caprini

We review the basic aspects of the perturbative QCD based on the operator product expansion to analyze the nucleon structure functions in a pedagogical way. We explain the non-trivial relation between the QCD results and the parton model…

High Energy Physics - Phenomenology · Physics 2016-09-01 J. Kodaira

Extracting information on the three-dimensional structure of hadrons from transverse-momentum data is a challenging task, requiring the separation of perturbative contributions under QCD control from genuinely non-perturbative effects,…

High Energy Physics - Phenomenology · Physics 2025-09-09 Andrea Simonelli

I survey some recent advances in the applications of the analytical perturbative approach to the description of particle distributions in multi-jet processes. New tests of the perturbatively based picture in the (semi) soft region are…

High Energy Physics - Phenomenology · Physics 2009-10-30 Valery A. Khoze

Perturbative approaches are methods to efficiently tackle many-body problems, offering both intuitive insights and analysis of correlation effects. However, their application to systems where light and matter are strongly coupled is…

Chemical Physics · Physics 2025-03-07 Yassir El Moutaoukal , Rosario R. Riso , Matteo Castagnola , Enrico Ronca , Henrik Koch

This work provides an overview of recent results obtained in the framework of QCD with analytic coupling. Applications to the polarized Bjorken and Gross-Llewellyn Smith sum rules are considered.

High Energy Physics - Phenomenology · Physics 2025-09-29 I. R. Gabdrakhmanov , N. A. Gramotkov , A. V. Kotikov , O. V. Teryaev , D. A. Volkova , I. A. Zemlyakov

Starting from the divergent character of the perturbative expansions in QCD and using the technique of series acceleration by the conformal mappings of the Borel plane, I define a novel, non-power perturbative expansion for the Adler…

High Energy Physics - Phenomenology · Physics 2015-06-16 I. Caprini

The determination of the numerical value for the strong coupling constant from tau decays in perturbative QCD is briefly described. Main emphasis is made on the use of the renormalization scheme invariance of the theory for reducing…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. A. Pivovarov

I present an introduction to the field of Quantum Chromodynamics (QCD) with emphasis on nucleon spin structure and perturbative methods. After a somewhat comprehensive overview of perturbative QCD, including the systematics of…

High Energy Physics - Phenomenology · Physics 2007-05-23 Jonathan Osborne

We give a short review of our recent analysis [1] of the deep inelastic scattering data (provided by BCDMS, SLAC, NMC) on F2 structure function in the non-singlet approximation with up to next-to-next-to-leading-order accuracy and analytic…

High Energy Physics - Phenomenology · Physics 2011-09-08 A. V. Kotikov , V. G. Krivokhizhin , B. G. Shaikhatdenov

We advocate the replacement of standard alphas(mu)-based QCD perturbation theory, in which the coupling and truncated perturbative predictions are dependent on the chosen renormalisation scheme, by a Lambda-based approach in which QCD…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. J. Dinsdale , C. J. Maxwell

Estimates of higher-order contributions for perturbative series in QCD, in view of their asymptotic nature, are delicate, though indispensable for a reliable error assessment in phenomenological applications. In this work, the Adler…

High Energy Physics - Phenomenology · Physics 2021-09-15 Matthias Jamin

The dispersive approach to QCD, which extends the applicability range of perturbation theory towards the infrared domain, is developed. This approach properly accounts for the intrinsically nonperturbative constraints, which originate in…

High Energy Physics - Phenomenology · Physics 2015-03-10 A. V. Nesterenko

We present a new prescription for the resummation of the divergent series of perturbative corrections, due to soft gluon emission, to hard processes near threshold in perturbative QCD (threshold resummation). This prescription is based on…

High Energy Physics - Phenomenology · Physics 2008-11-26 Riccardo Abbate , Stefano Forte , Giovanni Ridolfi

The bilocal expansion of Borel transform provides an efficient way of Borel resummation with low order perturbations in QCD. Its applications to the heavy quark pole mass, static potential, and lattice calculation are reviewed.

High Energy Physics - Phenomenology · Physics 2008-11-26 Taekoon Lee

We consider the flavour non-singlet Reggeon within the context of perturbative QCD. This consists of ladders built out of ``reggeized'' quarks. We propose a method for the numerical solution of the integro-differential equation for the…

High Energy Physics - Phenomenology · Physics 2011-09-13 S. Griffiths , D. A. Ross

A brief overview of some recently active topics in perturbative QCD, including: string-inspired recursion techniques at tree level; recursion approaches and automation of standard techniques for 1-loop calculations; the status of NNLO jet…

High Energy Physics - Phenomenology · Physics 2017-08-23 Gavin P. Salam

The structure of the QFT expansion is studied in the framework of a new "Invariant analytic" version of the perturbative QCD. Here, an invariant (running) coupling $a(Q^2/\Lambda^2)=\beta_1\alpha_s(Q^2)/4\pi$ is transformed into a…

High Energy Physics - Theory · Physics 2014-11-18 D. V. Shirkov

We present a brief overview of analytical QCD, focusing primarily on a less common form of the analytical coupling A_{\rm MA}(Q^2), which is particularly convenient for Q^2\sim\Lambda^2. This form has been extensively used in recent studies…

High Energy Physics - Phenomenology · Physics 2025-10-29 A. V. Kotikov , I. A. Zemlyakov
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