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The rate of $B$-violation in the standard model at finite temperature is closely related to the diffusion rate $\Gamma$ of Chern-Simons number. We compute this rate for $m_H \approx m_W$ in the classical approximation in an effective…

High Energy Physics - Lattice · Physics 2007-05-23 Jan Smit , Wai Hung Tang

I review what we know about the ``sphaleron rate'', which is the efficiency of baryon number violation at high temperatures of order 100 GeV in the Standard Model. The leading behavior at weak coupling in the symmetric phase is known…

High Energy Physics - Phenomenology · Physics 2007-05-23 Guy D. Moore

By numerical simulations in {\it real time} we provide evidence in favour of sphaleron like transitions in the hot, symmetric phase of the electroweak theory. Earlier performed observations of a change in the Chern-Simons number are…

High Energy Physics - Lattice · Physics 2009-10-22 J. Ambjorn , K. Farakos

We measure the diffusion constant for Chern-Simons number for classical, lattice SU(3) Yang-Mills theory, using a generalization of the topological definition of Chern-Simons number developed recently by Moore and Turok. The diffusion…

High Energy Physics - Phenomenology · Physics 2009-10-30 Guy D. Moore

We use large-scale lattice simulations to compute the rate of baryon number violating processes (the sphaleron rate), the Higgs field expectation value, and the critical temperature in the Standard Model across the electroweak phase…

High Energy Physics - Phenomenology · Physics 2014-10-06 Michela D'Onofrio , Kari Rummukainen , Anders Tranberg

We measure the diffusion rate of Chern-Simons number in the (1+1)-dimensional Abelian Higgs model interacting with a realistic heat bath for temperatures between 1/13 and 1/3 times the sphaleron energy. It is found that the measured rate is…

High Energy Physics - Phenomenology · Physics 2009-10-22 A. Krasnitz , R. Potting

We have performed a new exact evaluation of the fluctuation determinant $\kappa$ of the electroweak sphaleron with $\Theta _W =0$. The results differ significantly from a previous calculation of this quantity by Carson et. al. . We find…

High Energy Physics - Phenomenology · Physics 2015-06-25 J. Baacke , S. Junker

The baryon number is violated in the Standard Model by non-perturbative sphaleron transitions. At temperatures above the electroweak scale, the rate of the sphaleron transitions is unsuppressed and has been accurately measured using…

High Energy Physics - Lattice · Physics 2010-11-10 Michela D'Onofrio , Kari Rummukainen , Anders Tranberg

We develop a method to compute the sphaleron rate in the electroweak broken phase nonperturbatively. The rate is somewhat slower than a perturbative estimate. In SU(2) X U(1) Higgs theory at the physical value of Theta_W, and assuming that…

High Energy Physics - Phenomenology · Physics 2009-10-31 Guy D. Moore

Using lattice simulations, we measure the sphaleron rate in the Standard Model as a function of temperature through the electroweak cross-over, for the Higgs masses m_H=115 and m_H=160 GeV. We pay special attention to the shutting off of…

High Energy Physics - Phenomenology · Physics 2012-09-04 Michela D'Onofrio , Kari Rummukainen , Anders Tranberg

We measure the sphaleron rate for hot, classical Yang-Mills theory on the lattice, in order to study its dependence on lattice spacing. By using a topological definition of Chern-Simons number and going to extremely fine lattices (up to…

High Energy Physics - Phenomenology · Physics 2009-10-31 Guy D. Moore , Kari Rummukainen

We calculate the dissipation of the baryon number after the electroweak phase transition due to thermal fluctuations above the sphaleron barrier. We consider not only the classical Boltzmann factor but also fermionic and bosonic one-loop…

High Energy Physics - Phenomenology · Physics 2009-10-28 D. Diakonov , M. Polyakov , P. Sieber , J. Schaldach , K. Goeke

The sphaleron rate is defined as the diffusion constant for topological number NCS = int g^2 F Fdual/32 pi^2. It establishes the rate of equilibration of axial light quark number in QCD and is of interest both in electroweak baryogenesis…

High Energy Physics - Phenomenology · Physics 2011-03-18 Guy D. Moore , Marcus Tassler

I explain, as simply and pedagogically as I can, recent arguments that the high-temperature baryon number violation rate depends on the electroweak coupling as $\Gamma = # \alpha_\w^5 T^4$ (up to higher order corrections). This is in…

High Energy Physics - Phenomenology · Physics 2007-05-23 Peter Arnold

I calculate the rate of $B+L$ violating processes in the ``symmetric" phase of the Standard Model by means of semiclassical methods, which are based on an appropriately resummed loop expansion within the dimensionally reduced theory. The…

High Energy Physics - Phenomenology · Physics 2009-10-28 Owe Philipsen

We measure the sphaleron rate with the physical parameters of the Standard Model. In particular, we plug into the calculations the recently found Higgs mass m_H = 125 GeV. The sphaleron rate tells us about the efficiency of baryon number…

High Energy Physics - Phenomenology · Physics 2012-12-14 Michela D'Onofrio , Kari Rummukainen , Anders Tranberg

We measure the diffusion rate of Chern-Simons number in the (1+1)-dimensional Abelian Higgs model interacting with a realistic heat bath for temperatures between 1/13 and 2/3 times the sphaleron energy. It is found that the measured rate is…

High Energy Physics - Lattice · Physics 2010-11-01 A. Krasnitz , R. Potting

We give arguments that in the 1+1 dimensional abelian Higgs model the classical approximation can be good for the leading high temperature behavior of real time processes. The Chern-Simons diffusion rate (`sphaleron rate') is studied…

High Energy Physics - Lattice · Physics 2009-10-31 W. H. Tang , J. Smit

We present a comprehensive analysis of electroweak sphaleron decay dynamics, employing both analytical techniques and high-resolution numerical simulations. Using a spherically symmetric ansatz, we reformulate the system as a…

High Energy Physics - Phenomenology · Physics 2025-05-12 Konstantin T. Matchev , Sarunas Verner

We study the Chern-Simons number diffusion rate in the (1+1)-dimensional latticeAbelian Higgs model at temperatures much higher than, as well as comparable to, the sphaleron energy. It is found that in the high-temperature limit the rate is…

High Energy Physics - Phenomenology · Physics 2010-11-01 Ph. de Forcrand , A. Krasnitz , R. Potting
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