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The weak-coupling expansion of the QCD free energy is known to order g_s^6log{g_s}, however, the resulting series is poorly convergent at phenomenologically relevant temperatures. In this proceedings, I discuss hard-thermal-loop…

High Energy Physics - Phenomenology · Physics 2011-06-21 Nan Su

We study a three dimensional Z(3)-symmetric effective theory of high temperature QCD. The exact lattice-continuum relations, needed in order to perform lattice simulations with physical parameters, are computed to order O(a^0) in lattice…

High Energy Physics - Lattice · Physics 2008-11-26 A. Kurkela

Quantum simulations of the dynamics of QCD have been limited by the complexities of mapping the continuous gauge fields onto quantum computers. By parametrizing the gauge invariant Hilbert space in terms of plaquette degrees of freedom, we…

High Energy Physics - Phenomenology · Physics 2024-08-28 Anthony N. Ciavarella , Christian W. Bauer

The screening masses of hot SU(N) gauge theory, defined as poles of the corresponding propagators are studied in 3d adjoint Higgs model, considered as an effective theory of QCD, using coupled gap equations and lattice Monte-Carlo…

High Energy Physics - Phenomenology · Physics 2007-05-23 F. Karsch , M. Oevers , A. Patkos , P. Petreczky , Zs. Szep

We study the phase diagram of the 3-dimensional SU(2) + adjoint Higgs theory, and investigate to what extent it can be used as an effective theory of the 4-dimensional high-T SU(2) QCD. The relation between the parameters in 4 and 3…

High Energy Physics - Lattice · Physics 2007-05-23 K. Rummukainen

A surprisingly good holographic description of QCD can be obtained from naive five dimensional gauge theory on a truncated AdS space. We seek to improve the infra-red description of QCD in such models by using a more sophisticated metric…

High Energy Physics - Phenomenology · Physics 2010-10-27 Nick Evans , Andrew Tedder , Tom Waterson

For the first time, we compute three-loop contributions to all triple vertices in QCD at the symmetric point. The analytic results are obtained in massless QCD with an arbitrary color group in the Landau gauge. All new loop integrals are…

High Energy Physics - Phenomenology · Physics 2020-04-15 Alexander Bednyakov , Andrey Pikelner

We investigate the infrared properties of the next-to-leading-order dispersion relations in scalar quantum electrodynamics at high temperature in the context of hard-thermal-loop perturbation theory. Specifically, we determine the damping…

High Energy Physics - Phenomenology · Physics 2009-11-11 A. Abada , K. Bouakaz

In this article, we present analytical expansion results of two single mass scale four-loop vacuum integrals in d=3-2*ep dimensions. After finding hypergeometric representations with half-integer coefficients, we use algorithms which we…

High Energy Physics - Phenomenology · Physics 2009-03-24 E. Bejdakic

We develop a procedure to analytically calculate higher-order contributions to the high-temperature real-time static potential in QCD. It is based on the introduction of a semi-hard external scale, which lies between the hard scale (the…

High Energy Physics - Phenomenology · Physics 2025-09-30 Margaret E. Carrington , Cristina Manuel , Joan Soto

In this review some recent multi-loop results obtained in the framework of perturbative Quantum Chromodynamics (QCD) and Quantum Electrodynamics (QED) are discussed. After reviewing the most advanced techniques used for the computation of…

High Energy Physics - Phenomenology · Physics 2009-11-07 M. Steinhauser

We study the high-temperature phase of SU(2) and SU(3) QCD using lattice simulations of an effective 3-dimensional SU(N) + adjoint Higgs -theory, obtained through dimensional reduction. We investigate the phase diagram of the 3D theory, and…

High Energy Physics - Lattice · Physics 2009-10-30 K. Kajantie , M. Laine , J. Peisa , A. Rajantie , K. Rummukainen , M. Shaposhnikov

The QCD pressure is a most fundamental quantity, for which lattice data is available up to a few times the critical temperature $T_c$. Perturbation theory, even at very high temperatures, has serious convergence problems. Combining…

High Energy Physics - Phenomenology · Physics 2009-11-07 York Schroder

The perturbative result for the quark-mass conversion factor between the $\overline{\mathrm{MS}}$ and regularization-independent symmetric-momentum subtraction scheme (RI/SMOM) away from the chiral limit, i.e. at non-zero quark masses…

High Energy Physics - Phenomenology · Physics 2025-11-10 Long Chen , Marco Niggetiedt

We compute the third-order correction to the heavy-quark current correlation function due to the emission and absorption of an ultrasoft gluon. Our result supplies a missing contribution to top-quark pair production near threshold and the…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Beneke , Y. Kiyo

We study the non-compact version of the U(1) gauge-Higgs model in three dimensions for $m_H = 30 GeV.$ We found that, using this formulation, rather modest lattices approach quite well the infinite volume behaviour.The phase transition is…

High Energy Physics - Lattice · Physics 2011-09-13 P. Dimopoulos , K. Farakos , G. Koutsoumbas

Off-central heavy-ion collisions are known to feature magnetic fields with magnitudes and characteristic gradients corresponding to the scale of the strong interactions. In this work, we employ equilibrium lattice simulations of the…

High Energy Physics - Lattice · Physics 2024-01-05 B. B. Brandt , F. Cuteri , G. Endrődi , G. Markó , L. Sandbote , A. D. M. Valois

EQCD is a 3D bosonic theory containing SU(3) and an adjoint scalar, which efficiently describes the infrared, nonperturbative sector of hot QCD and which is highly amenable to lattice study. We improve the matching between lattice and…

High Energy Physics - Lattice · Physics 2019-11-07 Guy D. Moore , Niels Schlusser

The perturbative series for finite-temperature field theories has very poor convergence properties and one needs a way to reorganize it. In this talk, I review two ways of reorganizing the perturbative series for field theories at finite…

High Energy Physics - Phenomenology · Physics 2016-01-26 Jens O. Andersen , Najmul Haque , Munshi G. Mustafa , Michael Strickland , Nan Su

We present the details of the analytic calculation of the three-loop angle-dependent cusp anomalous dimension in QCD and its supersymmetric extensions, including the maximally supersymmetric $\mathcal{N}=4$ super Yang-Mills theory. The…

High Energy Physics - Phenomenology · Physics 2016-02-17 Andrey Grozin , Johannes M. Henn , Gregory P. Korchemsky , Peter Marquard