UNIVERSALITY CLASS FOR BOOTSTRAP PERCOLATION WITH m=3 ON THE CUBIC LATTICE

Branco, N. S.; Silva, Cristiano J

doi:10.1142/s0129183199000711

Cited by 60 publications

(78 citation statements)

References 24 publications

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“…A type II 2HDM consists of doublets H u , coupling only to up-type quarks, and H d , coupling only to down-type quarks and leptons. The neutral scalar components of both these fields acquire vacuum expectation values, v u and v d , with For simplicity, we assume that we are in the (almost) alignment limit [3][4][5][6][7][8][9][10][11][12][13][14][15][16], in which, to first approximation, the mass eigenstates are given by the fields in the Higgs basis [26][27][28][29][30][31], where only one doublet field combination (H SM ) couples to gauge bosons and does not mix with the second orthogonal doublet combination (H NSM ). The observed Higgs boson (h) with a mass of 125 GeV is identified with the scalar arising from H SM , whereas the H NSM gives rise to H, A and the charged Higgs bosons.…”

Section: Rates and Signatures From Aligned Heavy Higgs Bosonsmentioning

confidence: 99%

Closing the wedge: Search strategies for extended Higgs sectors with heavy flavor final states

et al. 2016

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We consider search strategies for an extended Higgs sector at the high-luminosity LHC14 utilizing multitop final states. In the framework of a two Higgs doublet model, the purely top final states (tt, 4t) are important channels for heavy Higgs bosons with masses in the wedge above 2m t and at low values of tan β, while a 2b2t final state is most relevant at moderate values of tan β. We find, in the ttH channel, with H → tt, that both single and three lepton final states can provide statistically significant constraints at low values of tan β for m A as high as ∼750 GeV. When systematics on the tt background are taken into account, however, the three lepton final state is more powerful, though the precise constraint depends fairly sensitively on lepton fake rates. We also find that neither 2b2t nor tt final states provide constraints on additional heavy Higgs bosons with couplings to tops smaller than the top Yukawa due to expected systematic uncertainties in the tt background.

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Section: Rates and Signatures From Aligned Heavy Higgs Bosonsmentioning

confidence: 99%

Closing the wedge: Search strategies for extended Higgs sectors with heavy flavor final states

et al. 2016

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“…Roberto Schonmann who was the first probabilist to do rigorous things with Bootstrap was then based in Sau Paulo. Other Brazilians who have worked on BP include: N. S. Branco and C. J. Silva [7], V. Sidovarius, R. Sanchis and F. Camis. However the main reason to select this topic is that BP accounts for three of Adler's eleven joint papers with Stauffer, and Stauffer made her write a mini-review about BP [1] some time ago.…”

Section: Introductionmentioning

confidence: 99%

Bootstrap Percolation: visualizations and applications

Adler¹,

Lev²

2003

Braz. J. Phys.

209

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Bootstrap percolation models describe systems as diverse as magnetic materials, fluid flow in rocks and computer storage systems. The models have a common feature of requiring not just a simple connectivity of neighbouring sites, but rather an environment of other suitably occupied sites. Different applications as well as the connection with the mathematical literature on these models is presented. Visualizations that show the compact nature of the clusters are provided. I IntroductionIn Bootstrap Percolation (BP) [1] the lattice is occupied randomly with probability p, and then all sites that do not have at least m neighbours are iteratively removed. For m = 1 isolated sites are removed and for m = 2 both isolated sites and dangling ends are removed. For m = 3 and above the situation becomes interesting and lattice dependent and is currently quite hot amongst probabilists. For sufficiently high m, no occupied sites remain for an infinite lattice, and the interest is in the scaling as a function of system size.The conference talk on which this manuscript is based came about as follows: Uri Lev asked for a project topic just as Joan Adler was thinking about BP because Scott Kirpatrick's [2] new application to computer memory storage had reminded her that BP was an interesting topic. (Uri Lev's visualizations and website [3] are described in the final section of this paper.) Other recent activity, also motivated from ref [2] The models have connections to rigidity percolation, [11]. Time developments according to the local rules of Bootstrap Percolation can be viewed as cellular automata [12] , and there are also metastable bootstrap models, not considered further here. Models closely related to canonical BP have been proposed as descriptions of fluid flow in porous media. In these cases crack development [13] and/or advance of the fluid front [14] are assumed to be strongly dependent on the local microstructure. II Applications of Bootstrap PercolationWe show here the importance of the bootstrap principle for several applications. Adler, Palmer and Meyer, [10] showed that environmental effects of a bootstrap type play a crucial role in the orientational ordering process of quadrupoles in solid molecularOrtho hydrogen and para deuterium are quadrupolar molecules, whereas para hydrogen and or- The recent application by Kirkpatrick [2] is of a completely different nature. It relates to the failure of units in a cubic structured collection of computer memories, called a Dense Storage Array. Because it is too expensive to fix individual memory units that fail in such a system, the units are allowed to "fail in place", and it is necessary to ensure that even with a relatively high density of failed units there will still be percolation of data communications. III VisualizationsSince the Computational Physics Group at the Technion developed animation software (AViz) for atomistic simulations it was interesting to apply this also to Bootstrap Percolation. AViz [16] enables a user to draw and animate atoms (or spins, or...

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“…[33], there is no CP violation in the scalar sector of this model with any of its vacua 1 . In fact, to obtain spontaneous CP violation in this model, one has to change its fermionic sector via the introduction of vector-like quarks (see [34] and chapter 24.7 of [33]). Thus the possible occurrence of complex phases is a needless complication, since no interesting CP phenomena occur in the potential due to it.…”

Section: The Model: Symmetries and Possible Vacuamentioning

confidence: 83%

Vacuum structure of the Higgs complex singlet-doublet model

Ferreira

2016

Phys. Rev. D

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The complex singlet-doublet model is a popular theory to account for dark matter and electroweak baryogenesis, wherein the Standard Model particle content is supplemented by a complex scalar gauge singlet, with certain discrete symmetries imposed. The scalar potential which results thereof can have seven different types of minima at tree-level, which may coexist for specific choices of parameters. There is therefore the possibility that a given minimum is not global but rather a local one, and may tunnel to a deeper extremum, thus causing vacuum instability. This rich vacuum structure is explained and discussed in detail.

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UNIVERSALITY CLASS FOR BOOTSTRAP PERCOLATION WITH m=3 ON THE CUBIC LATTICE

Cited by 60 publications

References 24 publications

Closing the wedge: Search strategies for extended Higgs sectors with heavy flavor final states

Closing the wedge: Search strategies for extended Higgs sectors with heavy flavor final states

Bootstrap Percolation: visualizations and applications

Vacuum structure of the Higgs complex singlet-doublet model

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