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We present a simple argument to show that the beta-function of the d-dimensional KPZ-equation (d>=2) is to all orders in perturbation theory given by beta(g) = (d-2) g - 2/(8 pi)^(d/2) Gamma(2-d/2) g^2 . Neither the dynamical exponent z nor…

Statistical Mechanics · Physics 2015-06-25 Kay Joerg Wiese

We describe the coupling of the strong force. Denoted as $\alpha_s$, it sets the strength of that force, just as $G$ or $\alpha$ specify the strength of the gravity and electromagnetism. Its value depends on the scale at which phenomena are…

High Energy Physics - Phenomenology · Physics 2025-10-22 A. Deur

We revisit the extraction of $\alpha_s(M_\tau^2)$ from the QCDperturbative corrections to the hadronic $\tau$ branching ratio, using an improved fixed-order perturbation theory based on the explicit summation of all renormalization-group…

High Energy Physics - Phenomenology · Physics 2012-05-22 Gauhar Abbas , B. Ananthanarayan , Irinel Caprini

For high energy processes ($M\gg \Lambda_{QCD}$) there are infrared safe hadronic shape variables that have a calculable perturbative expansion in $\alpha_s(M^2)$. However, nonperturbative power suppressed corrections to these variables are…

High Energy Physics - Phenomenology · Physics 2009-10-28 Aneesh V. Manohar , Mark B. Wise

This paper explores a new mechanism for B production in which a b quark combines with a light parton from the hard-scattering process before hadronizing into the B hadron. This recombination mechanism can be calculated within perturbative…

High Energy Physics - Phenomenology · Physics 2011-01-27 Eric Braaten , Yu Jia , Thomas Mehen

In this talk we introduce the main features of a QCD-based model in which the coupling $\alpha_{s}$ is constrained by an infrared mass scale. We show recent applications of this model to hadron-hadron collisions, gap survival probability…

High Energy Physics - Phenomenology · Physics 2011-05-12 E. G. S. Luna

We present a first attempt to experimentally extract an effective strong coupling constant that we define to be a low Q2 extension of a previous definition by S. Brodsky et al. following an initial work of G. Grunberg. Using Jefferson Lab…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Deur , V. Burkert , J. P. Chen , W. Korsch

We examine the large-order behaviour of a recently proposed renormalization-group-improved expansion of the Adler function in perturbative QCD, which sums in an analytically closed form the leading logarithms accessible from…

High Energy Physics - Phenomenology · Physics 2013-01-08 Gauhar Abbas , B. Ananthanarayan , Irinel Caprini , Jan Fischer

We present approximations of varying degree of sophistication to the integral equations for the (gluon) structure functions of a hadron (``the partonic flux factor'') in a model valid in the Leading Log Approximation with a running coupling…

High Energy Physics - Phenomenology · Physics 2009-10-30 B. Andersson , G. Gustafson , H. Kharraziha

We accomplish the analytical computation of the pure weak annihilation non-leptonic $B$-meson decay amplitudes at leading power in the heavy quark expansion. The novel observation regarding such fundamental hadronic quantities is that…

High Energy Physics - Phenomenology · Physics 2023-04-06 Cai-Dian Lü , Yue-Long Shen , Chao Wang , Yu-Ming Wang

The electromagnetic coupling constant, $\alpha$, is one of the fundamental parameters of the Standard Model (SM). Its value at the Z boson mass, $\alpha(M_Z)$, is of particular interest as it enters electroweak precision tests. When running…

High Energy Physics - Lattice · Physics 2024-01-09 Sophie Mutzel

Motivated by the gluon condensate in QCD we study the perturbative expansion of a gauge theory in the presence of gauge bosons of vanishing momentum, in the specific case of an abelian theory. The background is characterised by a…

High Energy Physics - Phenomenology · Physics 2010-10-27 Dennis D. Dietrich , Paul Hoyer , Matti Jarvinen , Stephane Peigne

A strong-coupling expansion for the Green's functions, self-energies and correlation functions of the Bose Hubbard model is developed. We illustrate the general formalism, which includes all possible inhomogeneous effects in the formalism,…

Other Condensed Matter · Physics 2009-07-09 J. K. Freericks , H. R. Krishnamurthy , Yasuyuki Kato , Naoki Kawashima , Nandini Trivedi

We recalculate the pion electromagnetic form factor based on the perturbative QCD formalism that includes the Sudakov resummation. We take into account the evolution of the pion wave function in $b$, which represents the transverse extent…

High Energy Physics - Phenomenology · Physics 2007-05-23 David Tung , Hsiang-nan Li

Quantum transport of strongly correlated fermions is of central interest in condensed matter physics. Here, we present first-principle nonequilibrium Green functions results using $T$-matrix selfenergies for finite Hubbard clusters of…

Quantum Gases · Physics 2016-01-15 N. Schlünzen , S. Hermanns , M. Bonitz , C. Verdozzi

We study the dependence of beta-function on running coupling constant in holographic models supported by Einstein-dilaton-Maxwell action for light and heavy quarks. Although, in the previous paper [arXiv:2402.14512], we considered different…

High Energy Physics - Theory · Physics 2024-07-22 Irina Ya. Aref'eva , Ali Hajilou , Pavel Slepov , Marina Usova

We give a general parameterization of the Lambda_b --> Lambda(1520) gamma decay amplitude, applicable to any strange isosinglet spin-3/2 baryon, and calculate the branching fraction and helicity amplitudes. Large-energy form factor…

High Energy Physics - Phenomenology · Physics 2008-11-26 G. Hiller , M. Knecht , F. Legger , T. Schietinger

In the framework of Anisotropic Chromodynamics, a non-perturbative realization of QCD, we develop the Low-Nussinov picture of the Pomeron. In this approach all the usual problems of low pT perturbative calculations (infrared divergence) are…

High Energy Physics - Phenomenology · Physics 2009-10-28 Giuliano Preparata , Philip G. Ratcliffe

Following the Good-and-Walker picture, hard diffraction in the high-energy/small-x limit of QCD can be described in terms of eigenstates of the scattering matrix off a Color Glass Condensate. From the CGC non-linear evolution equations, it…

High Energy Physics - Phenomenology · Physics 2007-06-13 Cyrille Marquet

This paper presents an extended version of the article [Franz, S., Kopteva, N.: J. Differential Equations, 252 (2012)]. The main improvement compared to the latter is in that here we additionally estimate the mixed second-order derivative…

Analysis of PDEs · Mathematics 2022-12-23 Sebastian Franz , Natalia Kopteva
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