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The computational requirements and dynamics of Monte Carlo simulations of unquenched QCD incorporating the infrared quark eigenmodes (up to $\approx \Lambda_{QCD}$) exactly and UV modes via a loop representation are discussed. The accuracy…

High Energy Physics - Lattice · Physics 2015-06-25 A. Duncan , E. Eichten , H. Thacker

We present recent advancements in the computation of three-loop four-particle helicity amplitudes in full-color massless QCD. In this contribution, we focus on the $gg \to \gamma\gamma$ process. We show how to obtain compact analytic…

High Energy Physics - Phenomenology · Physics 2024-10-04 Piotr Bargiela

3d lattice studies have recently attracted a lot of attention, especially in connection with finite temperature field theories. One ingredient in these studies is a perturbative computation of the 2-loop lattice counterterms, which are…

High Energy Physics - Lattice · Physics 2009-10-30 M. Laine , A. Rajantie

We reinvestigate the infrared behavior of the pressure in the $g \phi^3$ scalar theory in six dimensions. This problem was first studied by Almeida and Frenkel and more recently by Carrington et al., that certified their results under…

High Energy Physics - Phenomenology · Physics 2009-11-10 Heron Caldas , A. L. Mota

The perturbative expansion of the pressure of hot QCD is computed here to order g^6ln(g) in the presence of finite quark chemical potentials. In this process all two- and three-loop one-particle irreducible vacuum diagrams of the theory are…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Vuorinen

We calculate the thermodynamic functions of pure-glue QCD to three-loop order using the hard-thermal-loop perturbation theory (HTLpt) reorganization of finite temperature quantum field theory. We show that at three-loop order…

High Energy Physics - Phenomenology · Physics 2010-09-16 Jens O. Andersen , Nan Su , Michael Strickland

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 2009-04-14 Aleksi Kurkela

We determine the 2-loop effective gauge coupling of QCD at high temperatures, defined as a matching coefficient appearing in the dimensionally reduced effective field theory. The result allows to improve on one of the classic…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Laine , Y. Schroder

In a previous paper (JHEP {\bf 05} (2014) 27), we calculated the three-loop thermodynamic potential of QCD at finite temperature $T$ and quark chemical potentials $\mu_q$ using the hard-thermal-loop perturbation theory (HTLpt)…

High Energy Physics - Phenomenology · Physics 2016-04-06 Jens O. Andersen , Najmul Haque , Munshi G. Mustafa , Michael Strickland

In the effective theory for the deconfining phase of SU(2) Yang-Mills thermodynamics we compute estimates for the moduli of the irreducible three-loop diagrams contributing to the pressure. Our numerical results are in agreement with…

High Energy Physics - Theory · Physics 2008-11-26 Dariush Kaviani , Ralf Hofmann

We calculate the pressure for pure-glue QCD at high temperature to two-loop order using hard-thermal-loop (HTL) perturbation theory. At this order, all the ultraviolet divergences can be absorbed into renormalizations of the vacuum energy…

High Energy Physics - Phenomenology · Physics 2009-11-07 Jens O. Andersen , Eric Braaten , Emmanuel Petitgirard , Michael Strickland

Mass-split composite Higgs models naturally accommodate the experimental observation of a light 125 GeV Higgs boson and predict a large scale separation to other heavier resonances. We explore the SU(3) gauge system with four light…

High Energy Physics - Phenomenology · Physics 2020-11-11 Oliver Witzel , Anna Hasenfratz , Curtis T. Peterson

We develop some techniques which allow an analytic evaluation of space-like observables in high temperature lattice gauge theories. We show that such variables are described extremely well by dimensional reduction. In particular, by using…

High Energy Physics - Lattice · Physics 2009-10-22 M. Caselle , A. D'Adda

Naively resummed perturbative approximations to the thermodynamic functions of QCD do not converge at phenomenologically relevant temperatures. Here we review recent results of a three-loop hard-thermal-loop perturbation theory calculation…

High Energy Physics - Phenomenology · Physics 2011-05-27 Michael Strickland , Jens O. Andersen , Lars E. Leganger , Nan Su

The QCD free energy can be studied by dimensional reduction to a three-dimensional (3d) effective theory, whereby non-perturbative lattice simulations become less demanding. To connect to the original QCD a perturbative matching computation…

High Energy Physics - Lattice · Physics 2007-05-23 C. Torrero , F. Di Renzo , V. Miccio , M. Laine , Y. Schroder

We determine the analytic expression of the damping rates for very soft moving quarks in an expansion to second order in powers of their momentum in the context of QCD at high temperature. The calculation is performed using the…

High Energy Physics - Phenomenology · Physics 2009-01-07 A. Abada , K. Bouakaz , N. Daira-Aifa

We calculate the three-loop thermodynamic potential of QCD at finite temperature and chemical potential(s) using the hard-thermal-loop perturbation theory (HTLpt) reorganization of finite temperature and density QCD. The resulting analytic…

High Energy Physics - Phenomenology · Physics 2016-03-15 Najmul Haque , Aritra Bandyopadhyay , Jens O. Andersen , Munshi G. Mustafa , Michael Strickland , Nan Su

The conventional weak-coupling expansion for thermodynamic quantities in hot field theories shows poor convergence unless the coupling constant is tiny. I discuss screened perturbation theory (SPT) which is a way of reorganizing the…

High Energy Physics - Phenomenology · Physics 2017-08-23 Jens O. Andersen

We investigate the three-dimensional SU(3) gauge theory at finite temperature in the framework of dimensional reduction. The large scale properties of this theory are expected to be conceptually more complicated than in four dimensions. The…

High Energy Physics - Lattice · Physics 2009-10-31 P. Bialas , A. Morel , B. Petersson , K. Petrov , T. Reisz

In hot gauge theories a breakdown of the hard thermal loop expansion occurs for light-like external momenta or in the infrared region. In QED where a resummation of ladder diagrams is usually advocated, it is shown that long range magnetic…

High Energy Physics - Phenomenology · Physics 2007-05-23 E. Petitgirard