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We present details for a method to compute the broken phase sphaleron rate (rate of hot baryon number violation below the electroweak phase transition) nonperturbatively, using a combination of multicanonical and real time lattice…

High Energy Physics - Phenomenology · Physics 2016-08-25 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

In many extensions of the Standard Model electroweak phase transitions at high temperatures can be described in a minimal dimensionally reduced effective theory with SU(2) gauge field and fundamental Higgs scalar. In this effective theory,…

High Energy Physics - Phenomenology · Physics 2026-01-16 Jaakko Annala , Kari Rummukainen , Tuomas V. I. Tenkanen

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

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

Using lattice simulations we calculate the rate of baryon number violating processes, the sphaleron rate, in the Standard Model with an external (hyper)magnetic field for temperatures across the electroweak cross-over, focusing on the…

High Energy Physics - Phenomenology · Physics 2023-04-26 Jaakko Annala , Kari Rummukainen

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

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

Using thermal effective field theory, we present a self-consistent perturbative formulation of the Higgs phase sphaleron rate after a radiatively-induced first-order phase transition. This gauge-invariant formulation is based on…

High Energy Physics - Phenomenology · Physics 2025-06-03 Xu-Xiang Li , Michael J. Ramsey-Musolf , Tuomas V. I. Tenkanen , Yanda Wu

We calculate the electroweak sphaleron rates in the reduced minimal 3-3-1 (RM331) model. In the context of the early Universe, this model undergoes a sequence of two first-order phase transitions, $SU(3) \rightarrow SU(2)$ at the TeV scale…

High Energy Physics - Phenomenology · Physics 2015-06-22 Vo Quoc Phong , Hoang Ngoc Long , Vo Thanh Van , Nguyen Chi Thanh

Recently Bodeker has presented an effective infrared theory for the dynamics of Yang-Mills theory, suitable for studying the rate of baryon number violation in the early universe. We extend his theory to include Higgs fields, and study how…

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

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 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 electroweak sphaleron is a static, unstable solution of the Standard Model classical field equations, representing the energy barrier between topologically distinct vacua. In this work, we present a comprehensive updated analysis of the…

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

We present the relation between the sphaleron energy and the gravitational wave signals from a first order electroweak phase transition. The crucial ingredient is the scaling law between the sphaleron energy at the temperature of the phase…

High Energy Physics - Phenomenology · Physics 2020-05-27 Ruiyu Zhou , Ligong Bian , Huai-Ke Guo

Sphaleron is a non-perturbative solution of electroweak gauge theories, which is crucially important for the scenario of electroweak baryogenesis. The sphaleron energy depends on details of the mechanism for the electroweak symmetry…

High Energy Physics - Phenomenology · Physics 2021-11-17 Shinya Kanemura , Masanori Tanaka

We present results obtained from a numerical investigation of the electroweak phase transition in the SU(2)-Higgs model. The simulations are performed at two values of the Higgs boson mass, $M_H\approx 20$ GeV and $M_H\approx 50$ GeV. While…

High Energy Physics - Lattice · Physics 2009-10-28 F. Csikor , Z. Fodor , J. Hein , K. Jansen , A. Jaster , I. Montvay

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

In many inflationary models, a large amount of energy is transferred rapidly to the long-wavelength matter fields during a period of preheating after inflation. We study how this changes the dynamics of the electroweak phase transition if…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. Rajantie , P. M. Saffin , E. J. Copeland

After the discovery of the Higgs boson and the rather precise measurement of all electroweak boson's masses the local structure of the electroweak symmetry breaking potential is already quite well established. However, despite being a key…

High Energy Physics - Phenomenology · Physics 2019-11-14 Michael Spannowsky , Carlos Tamarit
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