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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 revisit the question of the convergence of lattice perturbation theory for a pure SU(3) lattice gauge theory in 4 dimensions. Using a series for the average plaquette up to order 10 in the weak coupling parameter beta^{-1}, we show that…

High Energy Physics - Lattice · Physics 2009-11-11 L. Li , Y. Meurice

The model for constituent glue is presented starting from the perturbation theory in nonperturbative QCD vacuum. Green function is constructed for a system containing qqbar pair and gluon propagating in the vacuum background field, and…

High Energy Physics - Phenomenology · Physics 2009-10-28 Yu. S. Kalashnikova , Yu. B. Yufryakov

We present an analytic formula to extract the longitudinal structure function in the next- to -leading order of the perturbation theory at low $x$, from the Regge- like behavior of the gluon distribution and the structure function at this…

High Energy Physics - Phenomenology · Physics 2015-06-18 G. R. Boroun

We study a classical system of identically charged counter-ions near a planar wall carrying a uniform surface charge density. The equilibrium statistical mechanics of the system depends on a single dimensionless coupling parameter. A new…

Soft Condensed Matter · Physics 2019-01-21 I. Palaia , M. Trulsson , L. Samaj , E. Trizac

The equivalence is found between high-energy QCD in the generalized leading logarithmic approximation and the one-dimensional Heisenberg magnet. According to Regge theory, the high energy asymptotics of hadronic scattering amplitudes are…

High Energy Physics - Phenomenology · Physics 2011-05-05 G. P. Korchemsky

The present calculations in perturbative QCD reach the order $\alpha_s^4$ for several correlators calculated to five loops, and the huge computational difficulties make unlikely the full six-loop calculation in the near future. This…

High Energy Physics - Phenomenology · Physics 2019-10-02 Irinel Caprini

Properties of cumulant- and combinant ratios are studied for multihadron final states composed of Poisson distributed clusters. The application of these quantities to ``detect'' clusters is discussed. For the scaling laws which hold in…

High Energy Physics - Phenomenology · Physics 2016-09-01 S. Hegyi

We derive general tree-level recursion relations for amplitudes which include massive propagating particles. As an illustration, we apply these recursion relations to scattering amplitudes of gluons coupled to massive scalars. We provide…

High Energy Physics - Theory · Physics 2009-11-11 S. D. Badger , E. W. N. Glover , V. V. Khoze , P. Svrcek

Experiments at the LHC are collecting a wealth of data with an unprecedented level of precision. As a consequence, the theoretical error is now starting to lag behind the experimental one, and a ceaseless effort is required to reduce the…

High Energy Physics - Phenomenology · Physics 2018-10-22 Luca Rottoli

Recent developments of perturbation theory at finite temperature based on effective field theory methods are reviewed. These methods allow the contributions from the different scales to be separated and the perturbative series to be…

High Energy Physics - Phenomenology · Physics 2009-10-30 Agustin Nieto

We study numerically the low temperature behavior of a one-dimensional Bose gas trapped in an optical lattice. For a sufficient number of particles and weak repulsive interactions, we find a clear regime of temperatures where density…

Statistical Mechanics · Physics 2013-05-29 C. Gils , L. Pollet , A. Vernier , F. Hebert , G. G. Batrouni , M. Troyer

It has recently been noticed that heavy quark ($Q$) and gluon ($g$) fragmentation to heavy quarkonium states ($Q\bar{Q}$) can be calculated in perturbative QCD. This technique allows for the inclusion of a subset of higher order corrections…

High Energy Physics - Phenomenology · Physics 2007-05-23 Michael A. Doncheski

Hot gluons are the dominant components of the QCD plasma to be formed in future high energy heavy ion experiments. In this paper we study the elementary processes in the plasma medium for gluon multiplication based on all orders of the…

High Energy Physics - Phenomenology · Physics 2008-11-26 L. Xiong , E. Shuryak

We overview the issue of the power corrections to the parton model, mostly within the context of QCD sum rules. There are a few sources of the power corrections responsible for various qualitative effects. The basic idea that the power…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. I. Zakharov , MPI-Munich

The gluon condensate, $\langle \frac{\alpha_s}{\pi} G^2 \rangle$, i.e. the leading order power correction in the operator product expansion of current correlators in QCD at short distances, is determined from $e^+ e^-$ annihilation data in…

High Energy Physics - Phenomenology · Physics 2015-06-23 C. A. Dominguez , L. A. Hernandez , K. Schilcher

We briefly describe a new general algorithm for carrying out QCD calculations to next-to-leading order in perturbation theory. The algorithm can be used for computing arbitrary jet cross sections in arbitrary processes and can be…

High Energy Physics - Phenomenology · Physics 2015-06-25 Stefano Catani , Michael H. Seymour

We present lattice QCD calculations of higher order cumulants of electric charge distributions for small baryon chemical potentials $\mu_B$ by using up to NNNLO Taylor expansions. Ratios of these cumulants are evaluated on the…

High Energy Physics - Lattice · Physics 2020-10-30 D. Bollweg , J. Goswami , F. Karsch , S. Mukherjee , C. Schmidt

QCD is an extensively developed and tested gauge theory, which models the strong interactions in the high-energy regime. In this talk, I shall review the considerable progress which has been achieved in the last few years in the most…

High Energy Physics - Phenomenology · Physics 2008-11-26 Vittorio Del Duca

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