The statistical theory of anomalous fermion number non-conservation

Khlebnikov, Sergei; Shaposhnikov, Mikhail

doi:10.1016/0550-3213(88)90133-2

Cited by 492 publications

(389 citation statements)

References 21 publications

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“…In this case the anomalous processes have ample time to operate, and their precise rate is not important. In fact, the conversion factors are simple analytic functions [6,7], for which various limiting values were derived already long ago [4,5].…”

Section: Introductionmentioning

confidence: 99%

Baryon and lepton number violation rates across the electroweak crossover

Burnier

Laine

Shaposhnikov

2006

J. Cosmol. Astropart. Phys.

101

127

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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.

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Section: Introductionmentioning

confidence: 99%

Baryon and lepton number violation rates across the electroweak crossover

Burnier

Laine

Shaposhnikov

2006

J. Cosmol. Astropart. Phys.

101

127

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“…What is meant by "diffusion of Θ" may require some explanation. From equations (9), (10), and (11), one sees that Θ = 0 and Θ = 2π correspond to the same (static) gauge and Higgs field configuration. Even Θ = 0 and Θ = π correspond to the same physical state, since they are related by a simple gauge transformation.…”

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

confidence: 99%

“…The sphaleron rate plays an important role in scenarios for electroweak baryogenesis, since it determines the rate of the baryonnumber violating processes. Much effort has gone into the determination of the sphaleron rate, both in the symmetric phase [6], [7], [8] as well as in the broken phase [9], [10], [11].…”

Section: Introductionmentioning

confidence: 99%

Asymmetric Chern–Simons number diffusion from CP-violation

Nauta

Arrizabalaga

2002

Nuclear Physics B

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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.

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“…where the factor 10/31 is due to the partial conversion of the ∆ α asymmetries into a baryon asymmetry by the non-perturbative sphaleron processes [4] (we assume here that sphalerons come out of thermal equilibrium below the electroweak phase transition). It has been pointed out recently [66] that the conversion factors relating the flavour asymmetries Y ∆α to Y B depend on the actual superpartner spectrum.…”

Section: Boltzmann Equationsmentioning

confidence: 99%

“…In its simplest version [2], out-of-equilibrium decays of heavy Majorana neutrinos generate a lepton asymmetry which is then partially converted into a baryon asymmetry by sphaleron processes [3,4]. This mechanism has been extensively studied in the last decade [5].…”

Section: Introductionmentioning

confidence: 99%

Successful leptogenesis inSO(10)unification with a left–right symmetric seesaw mechanism

et al. 2009

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We study thermal leptogenesis in a broad class of supersymmetric SO(10) models with a leftright symmetric seesaw mechanism, taking into account flavour effects and the contribution of the next-to-lightest right-handed neutrino supermultiplet. Assuming M D = M u and a normal hierarchy of light neutrino masses, we show that four out of the eight right-handed neutrino mass spectra reconstructed from low-energy neutrino data can lead to successful leptogenesis with a reheating temperature in the (10 9 − 10 10 ) GeV range. In the remaining four solutions, leptogenesis is dominated by N 2 decays, as in the type I seesaw case. We find that some of these spectra can generate the observed baryon asymmetry for reheating temperatures above 10 10 GeV, in contrast to the type I case. Together with flavour effects, an accurate description of charged fermion masses turns out to be a crucial ingredient in the analysis.

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The statistical theory of anomalous fermion number non-conservation

Cited by 492 publications

References 21 publications

Baryon and lepton number violation rates across the electroweak crossover

Baryon and lepton number violation rates across the electroweak crossover

Asymmetric Chern–Simons number diffusion from CP-violation

Successful leptogenesis inSO(10)unification with a left–right symmetric seesaw mechanism

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