Tunneling potentials for the tunneling action: gauge invariance

Arunasalam, Suntharan; Ramsey-Musolf, Michael J.

doi:10.1007/jhep08(2022)138

Cited by 10 publications

(5 citation statements)

References 38 publications

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“…Instead of a bounce one has to find a "tunneling potential" function, V t (φ), that interpolates between the false vacuum and (the basin of) the true vacuum and minimizes an action functional, an integral in field space of a simple action density. The resulting action reproduces the Euclidean result and the approach has a number of good properties: it allows a fast and precise numerical calculation of the action [3]; it can be adapted to the study of vacuum decay by thermal fluctuations [3]; it can be used to get solvable potentials (that permit the analytical solution of the tunneling problem) [3][4][5]; it is very useful for vacuum decay in multi-field potentials as one searches for a minimum of the action functional (instead of a saddle-point, as in the Euclidean method) [6]; it can be generalized quite simply to include gravitational corrections offering a quite direct route to the derivation of key results [4,7]; it can deal with issues of gauge invariance [8]; etc.…”

Section: Jcap02(2023)023mentioning

confidence: 99%

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Vacuum decay actions from tunneling potentials for general spacetime dimension

Espinosa

Fortin

2023

J. Cosmol. Astropart. Phys.

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The tunneling potential method to calculate the action for vacuum decay is an alternative to the Euclidean bounce method that has a number of attractive features. In this paper we extend the formalism to general spacetime dimension d > 2 and use it to give simple proofs of several results. For Minkowski or Anti de Sitter false vacua, we show that gravity or higher barriers increase vacuum lifetime and describe a very clean picture of gravitational quenching of vacuum decay. We also derive the thin-wall limit of the action, show how detailed balance for dS to dS transitions works in the new formalism and how to obtain potentials for which the vacuum decay solution can be obtained analytically.

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Section: Jcap02(2023)023mentioning

confidence: 99%

“…where am(u|m) is the Jacobi amplitude function and ξ e ≡ (d − 2)(d − 1) 2κ sin θ K(sin 2 (θ/2)) , (6.10) 8 Without gravity, we get V (φ) = Vt(φ)…”

Section: Jcap02(2023)023mentioning

confidence: 99%

Vacuum decay actions from tunneling potentials for general spacetime dimension

Espinosa

Fortin

2023

J. Cosmol. Astropart. Phys.

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“…Note that the total one-loop effective potential (equation (2.35)) carries explicit gauge dependence. Since, the important quantities of the study of phase transitions such as the locations of the extrema of V eff (T ), as well as the ratio φ c (T c )/T c , both are gauge-dependent [68,[73][74][75][76][77][78][79][80][81][82]. 1 In addition, the one-loop effective potential of equation (2.35) explicitly depends on the choice of the renormalization scale (Q), which might have a more significant impact than the gauge uncertainty [83].…”

Section: Jhep10(2023)057mentioning

confidence: 99%

Interplay among gravitational waves, dark matter and collider signals in the singlet scalar extended type-II seesaw model

Ghosh,

Roy

2023

J. High Energ. Phys.

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We study the prospect of simultaneous explanation of tiny neutrino masses, dark matter (DM), and the observed baryon asymmetry of the Universe in a Z3-symmetric complex singlet scalar extended type-II seesaw model. The complex singlet scalar plays the role of DM. Analyzing the thermal history of the model, we identify the region of the parameter space that can generate a first-order electroweak phase transition (FOEWPT) in the early Universe, and the resulting stochastic gravitational waves (GW) can be detected at future space/ground-based GW experiments. First, we find that light triplet scalars do favor an FOEWPT. In our study, we choose the type-II seesaw part of the parameter space in such a way that light triplet scalars, especially the doubly charged ones, evade the strong bounds from their canonical searches at the Large Hadron Collider (LHC). However, the relevant part of the parameter space, where FOEWPT can happen only due to strong SM doublet-triplet interactions, is in tension with the SM-like Higgs decay to a pair of photons, which has already excluded the bulk of this parameter space. On the other hand, the latest spin-independent DM direct detection constraints from XENON-1T and PANDA-4T eliminate a significant amount of parameter space relevant for the dark sector assisted FOEWPT scenarios, and it is only possible when the complex scalar DM is significantly underabundant. In short, we conclude from our analysis that the absence of new physics at the HL-LHC and/or various DM experiments in the near future will severely limit the prospects of detecting a stochastic GW at future GW experiments and will exclude the possibility of electroweak baryogenesis within this model.

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“…The gauge dependence, thus, appears through the loop-induced contributions. Gauge invariant treatment of V T and quantities related to it, however, are also possible and are already advocated in the literature [29,150,[153][154][155][156][157][158][159][160][161][162][163][164]. One should also note that V 1−loop CW (see Eq.…”

Section: Contributions From Non-zero Temperaturementioning

confidence: 99%

Electroweak Phase Transition in a Right-Handed Neutrino Superfield Extended NMSSM

Borah¹,

Ghosh²,

Roy³

et al. 2023

Preprint

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Supersymmetric models with singlet extensions can accommodate single-or multi-step first-order phase transitions (FOPT) along the various constituent field directions. Such a framework can also produce Gravitational Waves, detectable at the upcoming space-based interferometers, e.g., U-DECIGO. We explore the dynamics of electroweak phase transition and the production of Gravitational Waves in an extended set-up of the Next-to-Minimal Supersymmetric Standard Model (NMSSM) with a Standard Model singlet right-handed neutrino superfield. We examine the role of the new parameters compared to NMSSM on the phase transition dynamics and observe that the occurrence of a FOPT, an essential requirement for Electroweak Baryogenesis, typically favours a right-handed sneutrino state below 125 GeV. Our investigation shows how the analysis can offer complementary probes for physics beyond the Standard Model besides the collider searches.

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Tunneling potentials for the tunneling action: gauge invariance

Cited by 10 publications

References 38 publications

Vacuum decay actions from tunneling potentials for general spacetime dimension

Vacuum decay actions from tunneling potentials for general spacetime dimension

Interplay among gravitational waves, dark matter and collider signals in the singlet scalar extended type-II seesaw model

Electroweak Phase Transition in a Right-Handed Neutrino Superfield Extended NMSSM

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