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We study the effects of including a running coupling constant in high-density QCD evolution. For fixed coupling constant, QCD evolution preserves the initial dependence of the saturation momentum $Q_s$ on the nuclear size $A$ and results in…

High Energy Physics - Phenomenology · Physics 2009-11-10 J. L. Albacete , N. Armesto , J. G. Milhano , C. A. Salgado , U. A. Wiedemann

By direct numerical calculations the influence of a physically relevant infrared cutoff and running coupling on the gluon density and structure function of a large nucleus is studied in the perturbative QCD approach. It is found that the…

High Energy Physics - Phenomenology · Physics 2015-06-25 M. A. Braun

We derive a QCD sum rule for the flavour-singlet axial coupling constant $g_A^{(0)}$ from a two point correlation function of flavour-singlet axial vector currents in a one-nucleon state. In evaluating the correlation function by an…

High Energy Physics - Phenomenology · Physics 2009-11-10 Tetsuo Nishikawa

I explicitly calculate the anomalous dimensions and splitting functions governing the Q^2 evolution of the parton densities and structure functions which result from the running coupling BFKL equation at LO, i.e. I perform a resummation in…

High Energy Physics - Phenomenology · Physics 2009-11-07 R. S. Thorne

We discuss the large-x behaviour of the splitting functions P_qg and P_gq and of flavour-singlet coefficient functions, such as the gluon contributions C_2,g and C_L,g to the structure functions F_2,L, in massless perturbative QCD. These…

High Energy Physics - Phenomenology · Physics 2010-12-13 A. Vogt , G. Soar , S. Moch , J. A. M. Vermaseren

We discuss whether or not "freezing" of the QCD running coupling constant in the infrared region is consistent with the Schwinger -- Dyson (SD) equations. Since the consistency of the "freezing" was not found, the conclusion is made that…

High Energy Physics - Phenomenology · Physics 2007-05-23 Aleksey I. Alekseev

We resum the recently calculated second order kernel of the BFKL equation. That kernel can be viewed as the sum of a conformally invariant part and a running coupling part. The conformally invariant part leads to a corrected BFKL intercept…

High Energy Physics - Phenomenology · Physics 2009-10-31 Yuri V. Kovchegov , A. H. Mueller

Finite temperature modifies the running of the QCD coupling alpha_s(k,T) with resolution k. After calculating the thermal quark and gluon masses selfconsistently, we determine the quark-quark and quark-gluon cross sections in the plasma…

High Energy Physics - Phenomenology · Physics 2008-11-26 Jens Braun , Hans-Jürgen Pirner

The CUJET Monte Carlo Jet Energy loss model is applied to predict the jet flavor, centrality and density dependence of the nuclear modification factor $R_{AA}$ at RHIC and LHC. Running coupling effects due to combined $x$, $k_\perp$ and…

High Energy Physics - Phenomenology · Physics 2015-06-11 Alessandro Buzzatti , Miklos Gyulassy

Total resummation of double- and single- logarithms of x contributing to the spin-dependent structure function g_1 ensures its steep rise at small $x$. In the asymptotic limit x ->0, the resummation leads to the Regge behavior of g_1 and…

High Energy Physics - Phenomenology · Physics 2007-05-23 B. I. Ermolaev , M. Greco , S. I. Troyan

Within the framework of a (1+1)-dimensional model which mimics evolution and scattering in QCD at high energy, we study the influence of the running of the coupling on the high-energy dynamics with Pomeron loops. We find that the particle…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Dumitru , E. Iancu , L. Portugal , G. Soyez , D. N. Triantafyllopoulos

We examine, in the `t Hooft renormalization scheme, the analytic running coupling $\bar\alpha_t(Q^2)$ in QCD, using the two-loop $\beta$-function with positive expansion parameters $\beta_0$ and $\beta_1$. An exact integral representation…

High Energy Physics - Theory · Physics 2022-07-27 F. T. Brandt , J. Frenkel , D. G. C. McKeon , G. S. S. Sakoda

We present a non-perturbative computation of the running of the coupling alpha_s in QCD with two flavours of dynamical fermions in the Schroedinger functional scheme. We improve our previous results by a reliable continuum extrapolation.…

High Energy Physics - Lattice · Physics 2010-04-05 Michele Della Morte , Roberto Frezzotti , Jochen Heitger , Juri Rolf , Rainer Sommer , Ulli Wolff

I calculate the anomalous dimension governing the Q^2 evolution of the gluon (and structure functions) coming from the running coupling BFKL equation. This may be expressed in an exact analytic form, up to a small ultraviolet renormalon…

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

We study the impact of the QCD DGLAP evolution on the geometric scaling of the gluon distributions which is expected to hold at small x within the saturation models. To this aim we solve the DGLAP evolution equations with the initial…

High Energy Physics - Phenomenology · Physics 2014-11-17 J. Kwiecinski , A. M. Stasto

Based on a study of the analytic running coupling obtained from the standard perturbation theory results up to four-loop order, the QCD ``synthetic'' running coupling \alpha_{syn} is built. In so doing the perturbative time-like…

High Energy Physics - Phenomenology · Physics 2009-11-11 Aleksey I. Alekseev

In the framework of analytic approach to QCD the nonperturbative contributions in running coupling of strong interaction up to 4-loop order are obtained in an explicit form. For all $Q>\Lambda$ they are shown to be represented in the form…

High Energy Physics - Phenomenology · Physics 2009-11-07 Aleksey I. Alekseev

Theoretical expectations concerning small $x$ behaviour of the spin dependent structure function $g_1$ are summarised. This includes discussion of the Regge pole model predictions and of the double $ln^2(1/x)$ effects implied by…

High Energy Physics - Phenomenology · Physics 2014-11-17 J. Kwiecinski

Using Mandelstam's approximation to the gluon Dyson-Schwinger equation we calculate the gluon self-energy in a renormalisation group invariant fashion. We obtain a non-perturbative $\beta $ function. The scaling behaviour near the…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. Alkofer , A. Hauck , L. von Smekal

In the semiclassical approach, inclusive and diffractive quark and gluon distributions are expressed in terms of correlation functions of Wilson loops. Each Wilson loop integrates the colour field strength in the area between the…

High Energy Physics - Phenomenology · Physics 2010-03-25 W. Buchmuller , T. Gehrmann , A. Hebecker