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Lattice gauge theories are lattice approximations of the Yang-Mills theory in physics. The abelian lattice Higgs model is one of the simplest examples of a lattice gauge theory interacting with an external field. In a previous…

Probability · Mathematics 2024-08-23 Malin Palö Forsström

We summarize recent analytical results obtained for lattice artifacts of the non-Hermitian Wilson Dirac operator. Hereby we discuss the effect of all three low energy constants. In particular we study the limit of small lattice spacing and…

High Energy Physics - Lattice · Physics 2013-10-28 Mario Kieburg , Jacobus J. M. Verbaarschot , Savvas Zafeiropoulos

We study theories which naturally select a vacuum with parametrically small Electroweak Scale due to finite temperature effects in the early universe. In particular, there is a scalar with an approximate shift symmetry broken by a…

High Energy Physics - Phenomenology · Physics 2016-01-20 Edward Hardy

We present a lattice method to compute bubble nucleation rates at radiatively induced first order phase transitions, in high temperature, weakly coupled field theories, nonperturbatively. A generalization of Langer's approach, it makes no…

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

Recent developments on the four dimensional (4d) lattice studies of the finite temperature electroweak phase transition (EWPT) are summarized. The phase diagram is given in the continuum limit. The finite temperature SU(2)-Higgs phase…

High Energy Physics - Lattice · Physics 2015-06-25 Z. Fodor

Electroweak theory with two massless Higgs doublets is studied by solving renormalization group equations for coupling constants in one-loop approximation. A cutoff~$\Lambda$, at which one of quartic couplings in the Higgs potential blows…

High Energy Physics - Phenomenology · Physics 2009-10-28 K. Takenaga

We study the hot electroweak phase transition (EWPT) by 4-dimensional lattice simulations on lattices with symmetric and asymmetric lattice spacings and give the phase diagram. A continuum extrapolation is done. We find first order phase…

High Energy Physics - Phenomenology · Physics 2007-05-23 F. Csikor , Z. Fodor , J. Heitger , Y. Aoki , A. Ukawa

The finite temperature electroweak phase transition is studied on the lattice. The results of the simulations obtained by the 3-dimensional effective theories and the 4-dimensional SU(2)-Higgs model are reviewed.

High Energy Physics - Lattice · Physics 2016-09-01 Z. FODOR

We perform a manifestly gauge-independent analysis of the vacuum stability in the Standard Model (SM) including two-loop matching, three-loop renormalization group evolution, and pure QCD corrections through four loops. All these…

High Energy Physics - Phenomenology · Physics 2015-11-18 A. V. Bednyakov , B. A. Kniehl , A. F. Pikelner , O. L. Veretin

The phase transition of the electroweak vacuum induced by a strong magnetic field is examined, and a connection is made with the Ginzburg-Landau theory of type-II superconductivity. For solutions of the exact nonlinear field equations of…

High Energy Physics - Phenomenology · Physics 2007-05-23 Ola Tornkvist

Non-perturbative lattice simulations have shown that there is no electroweak phase transition in the Standard Model for the allowed Higgs masses, m_H \gsim 75 GeV. In the Minimal Supersymmetric Standard Model, in contrast, it has been…

High Energy Physics - Phenomenology · Physics 2011-05-05 M. Laine , K. Rummukainen

Numerical simulations are performed to study the finite temperature phase transition in the SU(2) Higgs model on the lattice. The strength of the first order phase transition is investigated by determining the latent heat and the interface…

High Energy Physics - Lattice · Physics 2009-10-22 F. Csikor , Z. Fodor , J. Hein , K. Jansen , A. Jaster , I. Montvay

We study the MSSM finite temperature electroweak phase transition with lattice Monte Carlo simulations, for a large Higgs mass (m_H ~ 95 GeV) and light stop masses (m_tR ~ 150...160 GeV). We employ a 3d effective field theory approach,…

High Energy Physics - Lattice · Physics 2009-10-31 M. Laine , K. Rummukainen

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

Strongly-coupled gauge theories are an important ingredient in the construction of many extensions of the standard model, particularly for models of electroweak symmetry breaking in which the Higgs boson is a composite object. There is a…

High Energy Physics - Lattice · Physics 2012-05-22 Ethan T. Neil

We report the first results from our comprehensive lattice tool set to explore non-perturbative aspects of Higgs physics in the Standard Model. We demonstrate in Higgs-Yukawa models that Higgs mass lower bounds and upper bounds can be…

High Energy Physics - Lattice · Physics 2009-04-14 Zoltan Fodor , Kieran Holland , Julius Kuti , Daniel Nogradi , Chris Schroeder

One major systematic uncertainty of lattice QCD results is due to the continuum extrapolation. For an asymptotically free theory like QCD one finds corrections of the form $a^{n_\mathrm{min}}[2b_0\bar{g}^2(1/a)]^{\hat{\Gamma}_i}$ with…

High Energy Physics - Lattice · Physics 2022-12-20 Nikolai Husung

Naturalness demands that the quadratic divergence of the one-loop top contribution to the Higgs mass be cancelled at a scale below 1 TeV. This can be achieved by introducing a fermionic (spin-1/2) top partner, as in, for example, Little…

High Energy Physics - Phenomenology · Physics 2015-06-04 Joshua Berger , Jay Hubisz , Maxim Perelstein

Recent lattice results have shown that there is no Standard Model (SM) electroweak phase transition (EWPT) for Higgs boson masses above \approx 72 GeV, which is below the present experimental limit. According to perturbation theory and…

High Energy Physics - Phenomenology · Physics 2009-10-31 F. Csikor , Z. Fodor , P. Hegedus , A. Jakovac , S. D. Katz , A. Piroth

Radiative symmetry breaking is a well known phenomenon in perturbation theory. We study the problem in a non-perturbative framework, i.e. lattice simulations. The example of the bosonic sector of the SU(2)-Higgs model is considered. We…

High Energy Physics - Lattice · Physics 2009-11-07 F. Csikor , Z. Fodor , P. Kovács