Free energy of the sphaleron in the Weinberg-Salam model

We point out that the results of many baryogenesis scenarios operating at or below the TeV scale are rather sensitive to the rate of anomalous fermion number violation across the electroweak crossover. Assuming the validity of the Standard Model of electroweak interactions, and making use of previous theoretical work at small Higgs masses, we estimate this rate for experimentally allowed values of the Higgs mass (m H = 100...300 GeV). We also elaborate on how the rate makes its appearance in (leptogenesis based) baryogenesis computations.

show abstract

“…The zero-mode factors and (the naive version of) ω − were evaluated in Refs. [29,30], while κ was determined numerically in Refs. [31,32].…”

Section: Chern-simons Diffusion Ratementioning

confidence: 99%

Baryon and lepton number violation rates across the electroweak crossover

Burnier

Laine

Shaposhnikov

2006

J. Cosmol. Astropart. Phys.

102

127

View full text Add to dashboard Cite

show abstract

“…The sphaleron field configuration was first discretised, and then allowed to evolve under the classical Euler-Lagrange field equations with an imposed condition of spherical symmetry [45][46][47]. The restriction to spherical symmetry is permissible because the sole decay channel of the Klinkhamer-Manton sphaleron is spherically symmetric [48]; it should be noted, however, that this approach may be used only in the limit of vanishing weak mixing angle θ W . As a consequence of the imposed spherical symmetry, it is expected that equal numbers of W + , W − and Z 0 of any given polarisation state will be produced after the decay.…”

Section: Sphaleron Decaymentioning

confidence: 99%

Monte Carlo simulation of baryon and lepton number violating processes at high energies

Gibbs

Ringwald

Webber

et al. 1995

Z. Phys. C - Particles and Fields

View full text Add to dashboard Cite

We report results obtained with the first complete event generator for electroweak baryon and lepton number violating interactions at supercolliders. Typical events contain of the order of 50 electroweak gauge bosons, some Higgs bosons and quarks and leptons of all generations. There is still great uncertainty about the expected rate, but an event generator is needed in any case to establish what experimental limits can be placed on the cross section, and to determine whether, even if such spectacular events are seen, baryon and/or lepton number violation can be conclusively demonstrated. We find that baryon number violation would be very difficult to establish, but lepton number violation can be seen provided at least a few hundred L violating events are available with good electron or muon identification in the energy range 10 GeV to 1 TeV. The event generator, which takes the form of a package (HERBVI) interfacing to the existing simulation program HERWIG, should be useful for the coming period of detailed experiment design for the Large Hadron Collider (LHC) at CERN.

show abstract

“…Here, we consider only the sector of spherically symmetric fluctuations, where the instabilities of the zerotemperature sphaleron are known to reside as well as the unstable breathing mode of the bubble. The fluctuations $ and $G decouple in the quadratic form from the fluctuations X , qH, and $K [15], yielding a system of two equations (two channel) and a system of three equations (three channel), respectively:…”

Section: Normal Modesmentioning

confidence: 99%

Electroweak bubbles and sphalerons

Brihaye

Kunz

1993

Phys. Rev. D

View full text Add to dashboard Cite

We consider non-perturbative solutions of the Weinberg-Salam model at finite temperature. We employ an effective temperature-dependent potential yielding a first order phase transition. In the region of the phase transition, there exist two kinds of static, spherically symmetric solutions: sphalerons and bubbles. We analyze these solutions as functions of temperature. We consider the most general spherically symmetric fluctuations about the two solutions and construct the discrete modes in the region of the phase transition. Sphalerons and bubbles both possess a single unstable mode. We present simple approximation formulae for these levels.Comment: 14 pages, plain tex, 9 figures appended as postscript files at the end of the paper. THU-93/0

show abstract

Free energy of the sphaleron in the Weinberg-Salam model

Cited by 43 publications

References 33 publications

Baryon and lepton number violation rates across the electroweak crossover

Baryon and lepton number violation rates across the electroweak crossover

Monte Carlo simulation of baryon and lepton number violating processes at high energies

Electroweak bubbles and sphalerons

Contact Info

Product

Resources

About