On the gauge dependence of spontaneous symmetry breaking in gauge theories

Nielsen, N.K.

doi:10.1016/0550-3213(75)90301-6

Cited by 458 publications

(414 citation statements)

References 13 publications

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“…Expressions for the field-dependent zero-temperature and effective thermal masses are found in appendix A. Unfortunately, the strategy described above is known to yield gauge-dependent results for the critical temperature and order parameter of the phase transition [45][46][47]. This gauge dependence arises from the gauge fixing, gauge and Goldstone boson contributions to the Coleman-Weinberg potential and to the effective finite-T cubic term (see e.g.…”

Section: Jhep08(2017)096mentioning

confidence: 99%

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Non-resonant collider signatures of a singlet-driven electroweak phase transition

Chen

Kozaczuk

Lewis

2017

J. High Energ. Phys.

107

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Abstract:We analyze the collider signatures of the real singlet extension of the Standard Model in regions consistent with a strong first-order electroweak phase transition and a singlet-like scalar heavier than the Standard Model-like Higgs. A definitive correlation exists between the strength of the phase transition and the trilinear coupling of the Higgs to two singlet-like scalars, and hence between the phase transition and non-resonant scalar pair production involving the singlet at colliders. We study the prospects for observing these processes at the LHC and a future 100 TeV pp collider, focusing particularly on double singlet production. We also discuss correlations between the strength of the electroweak phase transition and other observables at hadron and future lepton colliders. Searches for non-resonant singlet-like scalar pair production at 100 TeV would provide a sensitive probe of the electroweak phase transition in this model, complementing resonant di-Higgs searches and precision measurements. Our study illustrates a strategy for systematically exploring the phenomenologically viable parameter space of this model, which we hope will be useful for future work.

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Section: Jhep08(2017)096mentioning

confidence: 99%

“…refs. [45][46][47][48][49][50][51][52][53]). To ensure that our results are as robust as possible, we will employ two different strategies for computing ∆V T 1 .…”

Section: The Finite Temperature Effective Potentialmentioning

confidence: 99%

Non-resonant collider signatures of a singlet-driven electroweak phase transition

Chen

Kozaczuk

Lewis

2017

J. High Energ. Phys.

107

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“…Furthermore, the effective potential and the kinetic corrections are both gauge dependent [29,30]. The gauge dependence of the effective potential can be shown to cancel on its own for static points [31,32]. However, to ensure the gauge invariance of the non-static tunnelling configuration and thus the decay rate, kinetic corrections must be included as well [33,34].…”

Section: Jhep03(2014)106mentioning

confidence: 99%

Vacuum stability and the MSSM Higgs mass

Blinov

Morrissey

2014

J. High Energ. Phys.

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In the Minimal Supersymmetric Standard Model (MSSM), a Higgs boson mass of 125 GeV can be obtained with moderately heavy scalar top superpartners provided they are highly mixed. The source of this mixing, a soft trilinear stop-stop-Higgs coupling, can result in the appearance of charge-and color-breaking minima in the scalar potential of the theory. If such a vacuum exists and is energetically favorable, the Standard Model-like vacuum can decay to it via quantum tunnelling. In this work we investigate the conditions under which such exotic vacua arise, and we compute the tunnelling rates to them. Our results provide new constraints on the scalar top quarks of the MSSM.

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“…We emphasize that by working with an arbitrary value of ξ, the ghost fields do contribute to the v-dependent part of the one-loop EP. Note that the EP is in principle a gauge dependent object [30], however, physical quantities obtained from it should be gauge independent [31].…”

Section: Minimal Standard Modelmentioning

confidence: 99%

Symmetry restoration at finite temperature with weak magnetic fields

Navarro

Sánchez²,

Tejeda-Yeomans³

et al. 2010

Phys. Rev. D

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We study symmetry restoration at finite temperature in the standard model during the electroweak phase transition in the presence of a weak magnetic field. We compute the finite temperature effective potential up to the contribution of ring diagrams, using the broken phase degrees of freedom, and keep track of the gauge parameter dependence of the results. We show that under these conditions, the phase transition becomes stronger first order.

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On the gauge dependence of spontaneous symmetry breaking in gauge theories

Cited by 458 publications

References 13 publications

Non-resonant collider signatures of a singlet-driven electroweak phase transition

Non-resonant collider signatures of a singlet-driven electroweak phase transition

Vacuum stability and the MSSM Higgs mass

Symmetry restoration at finite temperature with weak magnetic fields

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