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We computed the static potential and Wilson loops to $O(\alpha^2)$ in perturbation theory for different lattice quark and gluon actions. In general, we find short distance lattice data to be well described by ``boosted perturbation…

High Energy Physics - Lattice · Physics 2015-06-25 G. S. Bali , P. Boyle , C. T. H. Davies

Effective coupling constant in quantum electrodynamics is investigated. A pole appears in the effective coupling constant for the space-like momentum if it is calculated by perturbation. The pole can be eliminated by the analytic…

High Energy Physics - Phenomenology · Physics 2007-10-09 Hirohisa Ishikawa , Keiji Watanabe

A generalization of the leading-order DGLAP evolution at small x is performed for the non-singlet structure function by resumming the leading-order DGLAP anomalous dimension to all orders in the QCD coupling. Explicit expressions are…

High Energy Physics - Phenomenology · Physics 2010-03-25 B. I. Ermolaev , M. Greco , S. I. Troyan

The summary of nonperturbative results for the QCD invariant coupling bar{alpha}_s obtained by lattice simulations for functional integral and by solution of approximate Dyson--Schwinger equations reveals a puzzling variety of IR behavior…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. V. Shirkov

The light-front holographic mapping of classical gravity in AdS space, modified by a positive-sign dilaton background, leads to a nonperturbative effective coupling $\alpha_s^{AdS}(Q^2)$. It agrees with hadron physics data extracted from…

High Energy Physics - Phenomenology · Physics 2014-11-20 Stanley J. Brodsky , Guy F. de Téramond , Alexandre Deur

In this work, we strive to gain insight into thermal modifications of charmonium and bottomonium bound states as well as the heavy quark diffusion coefficient. The desired information is contained in the spectral function which can not be…

High Energy Physics - Lattice · Physics 2020-08-13 H. -T. Ding , O. Kaczmarek , A. -L. Kruse , H. Ohno , H. Sandmeyer

Starting from the leading Odderon solution of the three gluon system in perturbative QCD we introduce, as a first step towards the transition to the nonperturbative region, an infrared cutoff and use the running QCD coupling constant. In…

High Energy Physics - Theory · Physics 2020-05-20 Jochen Bartels , Carlos Contreras , Gian Paolo Vacca

We present skeleton-motivated evaluation of QCD observables. The approach can be applied in analytic versions of QCD in certain classes of renormalization schemes. We present two versions of analytic QCD which can be regarded as low-energy…

High Energy Physics - Phenomenology · Physics 2011-08-12 Gorazd Cvetic , Cristian Valenzuela

We consider the ``modified Minimal Analytic'' (mMA) coupling that involves an infrared cut to the standard MA coupling. The mMA coupling is a Stieltjes function and, as a consequence, the paradiagonal Pade approximants converge to the…

High Energy Physics - Phenomenology · Physics 2009-11-09 Gorazd Cvetic , Hector E. Martinez

The conventional parametrizations of lattice static interquark force are shown to produce a mismatch of coupling constant near the matching point R_m \approx 0.2 fm. The running coupling constant of the background perturbation theory yields…

High Energy Physics - Lattice · Physics 2007-05-23 A. M. Badalian

Within the framework of semiclassical QCD approximations the short distance behavior of two static color charges in (2+1)-dimensional QCD is discussed. A classical linearization of the field equations is exhibited and leads to analytical…

High Energy Physics - Theory · Physics 2009-10-30 Holger Gies

Sub-gap transport properties of a quantum dot (QD) coupled to two superconducting and one metallic leads are studied theoretically, solving the time-dependent equation of motion by the Laplace transform technique. We focus on time-dependent…

Mesoscale and Nanoscale Physics · Physics 2019-04-17 R. Taranko , T. Kwapinski , T. Domanski

In models with large additional dimensions, the GUT scale can be lowered to values accessible by future colliders. Due to modification of the loop corrections from particles propagating into the extra dimensions, the logarithmic running of…

High Energy Physics - Phenomenology · Physics 2007-05-23 Sabine Hossenfelder

We investigate the analytic structure of the Borel-summed perturbative QCD amplitudes in the complex plane of the coupling constant. Using the method of inverse Mellin transform, we show that the prescription dependent Borel-Laplace…

High Energy Physics - Phenomenology · Physics 2009-11-10 Irinel Caprini , Jan Fischer

We analytically compute the five-loop term in the beta function which governs the running of $\alpha_s$ --- the quark-gluon coupling constant in QCD. The new term leads to a reduction of the theory uncertainty in $\alpha_s$ taken at the…

High Energy Physics - Phenomenology · Physics 2017-03-01 P. A. Baikov , K. G. Chetyrkin , J. H. Kühn

We exploit the fact that within massless perturbative QCD the same Green's function determines the hadronic contribution to the $\tau$ decay width and the moments of the $e^+e^-$ cross section. This allows one to obtain relations between…

High Energy Physics - Phenomenology · Physics 2016-09-06 S. Groote , J. G. Körner , A. A. Pivovarov , K. Schilcher

We propose a method to determine the running of $\alpha_{QED}$ from the measurement of small-angle Bhabha scattering. The method is suited to high statistics experiments at $e^{+} e^{-}$ colliders, which are equipped with luminometers in…

High Energy Physics - Phenomenology · Physics 2007-05-23 Luca Trentadue

We consider a new class of perturbation expansions, which incorporate in a systematic way the available information about the divergent character of the perturbation series in QCD. The new expansion functions, which replace the powers of…

High Energy Physics - Phenomenology · Physics 2015-03-17 Irinel Caprini , Jan Fischer

We present an evaluation of the running coupling constant for Nf=2+1 QCD. The Schroedinger functional scheme is used as the intermediate scheme to carry out non-perturbative running from the low energy region, where physical scale is…

High Energy Physics - Lattice · Physics 2010-04-30 S. Aoki , K. I. Ishikawa , N. Ishizuka , T. Izubuchi , D. Kadoh , K. Kanaya , Y. Kuramashi , K. Murano , Y. Namekawa , M. Okawa , Y. Taniguchi , A. Ukawa , N. Ukita , T. Yoshié

I examine the form of the solution of the BFKL equation with running coupling relevant for deep inelastic scattering. The evolution of structure functions is precisely determined and well described by an effective coupling of the form…

High Energy Physics - Phenomenology · Physics 2009-10-31 R. S. Thorne