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A key problem in making precise perturbative QCD predictions is the uncertainty in determining the renormalization scale $\mu$ of the running coupling $\alpha_s(\mu^2).$ The purpose of the running coupling in any gauge theory is to sum all…

High Energy Physics - Phenomenology · Physics 2012-10-26 Stanley J. Brodsky , Leonardo Di Giustino

Perturbative expansions for short-distance quantities in QCD are factorially divergent and this deficiency can be turned into a useful tool to investigate nonperturbative corrections. In this work, we use this approach to study the…

High Energy Physics - Phenomenology · Physics 2020-10-13 V. Braun , A. Vladimirov , J. -H. Zhang

We discuss the ways of extracting a low energy scale of an underlying theory using high energy scattering data. Within an exactly solvable model of quantum mechanics we analyze a technique based on introduction of nonperturbative power…

High Energy Physics - Phenomenology · Physics 2009-10-30 A. A. Penin , A. A. Pivovarov

Spin asymmetries in collisions of spin-polarized hadrons probe polarized parton distributions, which encode the spin structure of the colliding hadrons. To perform precision physics studies with spin asymmetries, higher order QCD…

High Energy Physics - Phenomenology · Physics 2026-02-11 Thomas Gehrmann , Markus Löchner

We discuss the renormalon-based approach to power corrections in non-singlet deep inelastic scattering structure functions and compare it with the general operator product expansion. The renormalon technique and its variations relate the…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. Akhoury , V. I. Zakharov

Infrared power corrections for Minkowskian QCD observables are analyzed in the framework of renormalon resummation, motivated by analogy with the skeleton expansion in QED and the BLM approach. Performing the ``massive gluon'' renormalon…

High Energy Physics - Phenomenology · Physics 2009-10-31 Einan Gardi , Georges Grunberg

We compute the next to leading QCD corrections to weak four fermion interactions introducing a scheme that does not require an explicit definition of $\gamma_5$ in $d$ dimensions. This scheme reduces greatly the difficulties in calculating…

High Energy Physics - Phenomenology · Physics 2016-09-01 G. Curci , G. Ricciardi

I give a short review of the relation of infrared renormalons in QCD and higher twist effects, with the emphasis on possible applications. In particular, I present estimates of renormalon-induced uncertainties in deep inelastic sum rules…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. M. Braun

We unify two widely different approaches to understanding the infrared behaviour of quantum chromodynamics (QCD), one essentially phenomenological, based on data, and the other computational, realised via quantum field equations in the…

We investigate the occurrence of power terms $(Lambda^2/p^2$ in the running QCD coupling by analysing non-perturbative measurements of $\alpha_s(p)$ at quite low momenta obtained from the lattice three-gluon vertex. Our study provides some…

High Energy Physics - Lattice · Physics 2009-10-31 G. Burgio , F. Di Renzo , C. Parrinello , C. Pittori

We present an analysis of the role of the running coupling constant at the intersection of perturbative and nonperturbative QCD. Although the approaches that have been considered so far in these two regimes appear to be complementary to…

High Energy Physics - Phenomenology · Physics 2015-06-15 A. Courtoy , S. Liuti

The consistency of effective models with QCD is investigated through the use of the QCD sum rule. Taking the potential model for the heavy quark system, we apply the method to two phenomenologically successful parameter sets, and obtain the…

High Energy Physics - Phenomenology · Physics 2007-05-23 T. Matsuki , K. Yazaki

We review the present knowledge for $\alpha_s$, the fundamental coupling underlying the interactions of quarks and gluons in QCD. The dependence of $\alpha_s(Q^2)$ on momentum transfer $Q$ encodes the underlying dynamics of hadron physics…

High Energy Physics - Phenomenology · Physics 2023-05-05 A. Deur , S. J. Brodsky , G. F. de Teramond

We present recent developments on the role of the running coupling constant at the intersection of perturbative and nonperturbative QCD. A number of experiments show a smooth transition from small to large scales given by the four-momentum…

High Energy Physics - Phenomenology · Physics 2015-06-11 A. Courtoy , Simonetta Liuti

We check quantitatively the validity of some popular phenomenological approaches of QCD in simple models. Dispersion sum rules are considered within the ladder approximation of a field-theoretic model with OPE given by ordinary loop…

High Energy Physics - Phenomenology · Physics 2008-02-03 A. A. Penin , A. A. Pivovarov

We present an evaluation of the running coupling constant and the quark mass renormalization factor for $N_f=2+1$ QCD. The Schr\"odinger functional scheme is used as the intermediate scheme to carry out non-perturbative running from the low…

High Energy Physics - Lattice · Physics 2019-08-14 Yusuke Taniguchi

We discuss power corrections to infrared safe cross sections and event shapes, and identify a nonperturbative function that governs 1/Q corrections to these quantities.

High Energy Physics - Phenomenology · Physics 2009-10-30 Gregory P. Korchemsky , Gianluca Oderda , George Sterman

Infrared and collinear events shapes are suited to directly probe properties of hard QCD. They are traditionally used to measure the strong coupling and to test the gauge structure of QCD. Perturbative predictions exist in several…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. Wicke

We uncover a novel solution of the 't Hooft anomaly matching conditions for QCD. Interestingly in the perturbative regime the new gauge theory, if interpreted as a possible QCD dual, predicts the critical number of flavors above which QCD…

High Energy Physics - Theory · Physics 2009-09-25 Francesco Sannino

We elaborate on the relation between perturbative and power-like corrections to short-distance sensitive QCD observables. We confront theoretical expectations with explicit perturbative calculations existing in literature. As is expected,…

High Energy Physics - Phenomenology · Physics 2010-05-28 S. Narison , V. I. Zakharov