Renormalization group equation study of the scalar sector of the minimal<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>B</mml:mi><mml:mo>−</mml:mo><mml:mi>L</mml:mi></mml:math>extension of the standard model

Basso, L.; Moretti, Stefano; Pruna, Giovanni Marco

doi:10.1103/physrevd.82.055018

Cited by 88 publications

(104 citation statements)

References 34 publications

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“…To determine the value of G q /m q we look back at (24) along with the SM Yukawa interaction term, which involves the mixing of both scalar fields, h 1 and h 2 . For interactions of WIMPs with SM quarks, the relevant terms are L = m q cos θ φ h 1,2ψq ψ q − m q sin θ φ h 2,1ψq ψ q + · · · + f sin θ 2 h 1,2ψ− ψ − + f cos θ 2 h 2,1ψ− ψ − .…”

Section: Appendix Amentioning

confidence: 99%

“…Since the stability condition of the electroweak vacuum is strongly sensitive to new physics, from the phenomenological point of view it is clear that beyond SM physics models have to pass a sort of "stability test" [21][22][23]. Indeed, only new physics models that reinforce the requirement of a stable or metastable (but with τ > T U ) electroweak vacuum can be accepted as a viable UV completion of the SM [24][25][26][27][28][29][30][31][32][33][34][35].…”

Section: Introductionmentioning

confidence: 99%

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Majorana dark matter through the Higgs portal under the vacuum stability lamppost

et al. 2015

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We study the vacuum stability of a minimal Higgs portal model in which the standard model (SM) particle spectrum is extended to include one complex scalar field and one Dirac fermion. These new fields are singlets under the SM gauge group and are charged under a global U (1) symmetry. Breaking of this U (1) symmetry results in a massless Goldstone boson, a massive CPeven scalar, and splits the Dirac fermion into two new mass-eigenstates, corresponding to Majorana fermions. The lightest Majorana fermion (w) is absolutely stable, providing a plausible dark matter (DM) candidate. We show that interactions between the Higgs sector and the lightest Majorana fermion which are strong enough to yield a thermal relic abundance consistent with observation can easily destabilize the electroweak vacuum or drive the theory into a non-perturbative regime at an energy scale well below the Planck mass. However, we also demonstrate that there is a region of the parameter space which develops a stable vacuum (up to the Planck scale), satisfies the relic abundance, and is in agreement with direct DM searches. Such an interesting region of the parameter space corresponds to DM masses 350 GeV mw 1 TeV. The region of interest is within reach of second generation DM direct detection experiments.

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Section: Appendix Amentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Majorana dark matter through the Higgs portal under the vacuum stability lamppost

et al. 2015

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“…Finally, a straightforward calculation leads to the RG equations for the five parameters in the scalar potential [37] …”

Section: Jhep02(2013)074mentioning

confidence: 99%

Vacuum stability of Standard Model++

Anchordoqui

Antoniadis

Goldberg

et al. 2013

J. High Energ. Phys.

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Abstract:The latest results of the ATLAS and CMS experiments point to a preferred narrow Higgs mass range (m H 124 − 126 GeV) in which the effective potential of the Standard Model (SM) develops a vacuum instability at a scale 10 9 − 10 11 GeV, with the precise scale depending on the precise value of the top quark mass and the strong coupling constant. Motivated by this experimental situation, we present here a detailed investigation about the stability of the SM ++ vacuum, which is characterized by a simple extension of the SM obtained by adding to the scalar sector a complex SU(2) singlet that has the quantum numbers of the right-handed neutrino, H , and to the gauge sector an U(1) that is broken by the vacuum expectation value of H . We derive the complete set of renormalization group equations at one loop. We then pursue a numerical study of the system to determine the triviality and vacuum stability bounds, using a scan of 10 4 random set of points to fix the initial conditions. We show that, if there is no mixing in the scalar sector, the top Yukawa coupling drives the quartic Higgs coupling to negative values in the ultraviolet and, as for the SM, the effective potential develops an instability below the Planck scale. However, for a mixing angle −0.35 α −0.02 or 0.01 α 0.35, with the new scalar mass in the range 500 GeV m h 8 TeV, the SM ++ ground state can be absolutely stable up to the Planck scale. These results are largely independent of TeV-scale free parameters in the model: the mass of the non-anomalous U(1) gauge boson and its branching fractions.

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“…In other words, our results for δ = 0 (M Z | δ=0 ) in Fig. 4 can be translated into those for δ = 0 (21). Now, the result of Fig.…”

Section: Implications For a New Heavy Gauge Bosonmentioning

confidence: 82%

“…The global B − L symmetry in the SM can be promoted to the local B − L symmetry by introducing three right-handed neutrinos, N 's, which are well motivated by the current neutrino data. We summarize the particle content of the model under consideration in Tab function of the B − L gauge coupling constant is given by b B−L = 26/3 (µ < M * ) and 148/9 (µ > M * ) [21]. The evolution of the gauge coupling constants is shown in Fig.…”

Section: Modelmentioning

confidence: 99%

Diphoton channel at the LHC experiments to find a hint for a new heavy gauge boson

Kaneta

Kang

Lee

2016

Int. J. Mod. Phys. A

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Renormalization group equation study of the scalar sector of the minimalB−Lextension of the standard model

Cited by 88 publications

References 34 publications

Majorana dark matter through the Higgs portal under the vacuum stability lamppost

Majorana dark matter through the Higgs portal under the vacuum stability lamppost

Vacuum stability of Standard Model++

Diphoton channel at the LHC experiments to find a hint for a new heavy gauge boson

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