Static minimum-energy path from a vacuum to a sphaleron in the Weinberg-Salam model

Akiba, Tomoya; Kikuchi, Hisashi; Yanagida, Tsutomu T.

doi:10.1103/physrevd.38.1937

Cited by 53 publications

(101 citation statements)

References 11 publications

Supporting

Mentioning

100

Contrasting

Order By: Relevance

“…As seen there, it rises from the value S(E) = −1 in the low-energy limit (E E Sph ) to S(E) = 0 for energies E ≥ E Sph , with very similar results being found in [14] for calculations based on the work of [2] and [23]. For the purpose of our numerical calculations, we approximate S(E) at intermediate energies by…”

Section: Jhep04(2016)086mentioning

confidence: 61%

“…Two evaluations of m were discussed in [14]: one based on [2] that yielded the estimate m = 17.1 TeV, and the other based on [23] that yielded the estimate m = 22.5 TeV. The final results for the rate of sphaleron-induced transitions were very similar, and here we follow [14] in adopting the [2]-based calculation that led to m = 17.1 TeV.…”

Section: Theoretical Backgroundmentioning

confidence: 90%

See 1 more Smart Citation

Search for sphalerons in proton-proton collisions

Ellis

Sakurai

2016

J. High Energ. Phys.

View full text Add to dashboard Cite

In a recent paper, Tye and Wong (TW) have argued that sphaleron-induced transitions in high-energy proton-proton collisions should be enhanced compared to previous calculations, based on a construction of a Bloch wave function in the periodic sphaleron potential and the corresponding pass band structure. Here we convolute the calculations of TW with parton distribution functions and simulations of final states to explore the signatures of sphaleron transitions at the LHC and possible future colliders. We calculate the increase of sphaleron transition rates in proton-proton collisions at centre-of-mass energies of 13/14/33/100 TeV for different sphaleron barrier heights, while recognising that the rates have large overall uncertainties. We use a simulation to show that LHC searches for microscopic black holes should have good efficiency for detecting sphaleron-induced final states, and discuss their experimental signatures and observability in Run 2 of the LHC and beyond. We recast the early ATLAS Run-2 search for microscopic black holes to constrain the rate of sphaleron transitions at 13 TeV, deriving a significant limit on the sphaleron transition rate for the nominal sphaleron barrier height of 9 TeV.

show abstract

Section: Jhep04(2016)086mentioning

confidence: 61%

Section: Theoretical Backgroundmentioning

confidence: 90%

Search for sphalerons in proton-proton collisions

Ellis

Sakurai

2016

J. High Energ. Phys.

View full text Add to dashboard Cite

show abstract

“…This is the path that will be used in the following. The path of Manton is not the minimal-energy path, which was constructed in [13]. But the precise path will not be important for the following rather general arguments and we expect that the results will suffice as order of magnitude estimates.…”

Section: Projection Of the Dynamics Of The Gauge And Higgs Fields Ontmentioning

confidence: 99%

Asymmetric Chern–Simons number diffusion from CP-violation

Nauta

Arrizabalaga

2002

Nuclear Physics B

View full text Add to dashboard Cite

We study Chern-Simons number diffusion in a SU(2)-Higgs model with CP-odd dimensioneight operators. We find that the thermal average of the magnitude of the velocity of the Chern-Simons number depends on the direction of the velocity. This implies that the distribution function of the Chern-Simons number will develop an asymmetry. It is argued that this asymmetry manifests itself through a linear growth of the expectation value of the third power of the Chern-Simons number. This linear behavior of the third power of a coordinate of a periodic direction is verified by a numerical solution of a one-dimensional Langevin equation. Further, we make some general remarks on thermal averages and on the possibility of the generation of the baryon asymmetry in a non-equilibrium situation due to asymmetric diffusion of the Chern-Simons number.

show abstract

“…The constants from A to H depend on (J, X) and couplings and they are determined by matching the corresponding asymptotic solutions and their first derivatives at ξ = 0. Therefore after the matching, the integration constants are,v 1 and 14) where n = √ 3λ/g, where λ is the scalar quartic coupling.…”

Section: A Asymptotic Solutionsmentioning

confidence: 99%

“…the energy of the sphaleron [7]. Such baryon number violation induced by the sphaleron is one of the essential ingredients of Electroweak Baryogenesis [8][9][10][11][12][13] and therefore it has been extensively studied not only in the SM [14][15][16][17][18][19][20][21][22][23][24] and but also in extended SM variants such as, SM with a singlet [25,26], two Higgs doublet model [27], Minimal Supersymmetric Standard Model [28], the next-to-Minimal Supersymmetric Standard Model [29] and 5-dimensional model [30].…”

Section: Introductionmentioning

confidence: 99%

Sphalerons and the electroweak phase transition in models with higher scalar representations

Ahriche

Chowdhury

Nasri

2014

J. High Energ. Phys.

View full text Add to dashboard Cite

In this work we investigate the sphaleron solution in a SU(2) × U(1) X gauge theory, which also encompasses the Standard Model, with higher scalar representation(s) (J (i) , X (i) ). We show that the field profiles describing the sphaleron in higher scalar multiplet, have similar trends like the doublet case with respect to the radial distance. We compute the sphaleron energy and find that it scales linearly with the vacuum expectation value of the scalar field and its slope depends on the representation. We also investigate the effect of U(1) gauge field and find that it is small for the physical value of the mixing angle, θ W and resembles the case for the doublet. For higher representations, we show that the criterion for strong first order phase transition, v c /T c > η, is relaxed with respect to the doublet case, i.e. η < 1.

show abstract

Static minimum-energy path from a vacuum to a sphaleron in the Weinberg-Salam model

Cited by 53 publications

References 11 publications

Search for sphalerons in proton-proton collisions

Search for sphalerons in proton-proton collisions

Asymmetric Chern–Simons number diffusion from CP-violation

Sphalerons and the electroweak phase transition in models with higher scalar representations

Contact Info

Product

Resources

About