Schrittmacher

Lindner, Udo K; Raftopoulo, Alexander

doi:10.1007/978-3-662-06934-9_7

Cited by 2 publications

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“…In the Standard Model (SM), it has been observed since long ago [1,2,3,4] that the requirement of vacuum stability up to the unification scale and beyond, and the absence of a Landau pole under the renormalization group (RG) evolution, constrain the value of the Higgs mass (m h ) and the size of the Yukawa couplings of the heavy fermions [5,6]. Lower and upper bounds on m h have been derived and shown to depend more or less significantly on the size of Y t , the Yukawa of the top quark, which can drive the quartic Higgs coupling to become negative beyond a certain scale.…”

Section: Introductionmentioning

confidence: 99%

Vacuum stability inU(1)-prime extensions of the Standard Model with TeV scale right handed neutrinos

2014

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We investigate a minimal U (1) extension of the Standard Model with one extra complex scalar and generic gauge charge assignments. We use a type-I seesaw mechanism with three heavy right handed neutrinos to illustrate the constraints on the charges, on their mass and on the mixing angle of the two scalars, derived by requiring the vacuum stability of the scalar potential. We focus our study on a scenario which could be accessible at the LHC, by selecting a vacuum expectation value of the extra Higgs in the TeV range and determining the constraints that emerge in the parameter space. To illustrate the generality of the approach, specific gauge choices corresponding to U (1) B−L , U (1) R and U (1) χ are separately analyzed. Our results are based on a modified expression of one of the β functions of the quartic couplings of the scalar potential compared to the previous literature. This is due to a change in the coefficient of the Yukawa term of the right handed neutrinos. Differently from previous analysis, we show that this coupling may destabilize the vacuum.

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Section: Introductionmentioning

confidence: 99%

Vacuum stability inU(1)-prime extensions of the Standard Model with TeV scale right handed neutrinos

2014

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“…In fact, current central value of higgs mass m H = 125.9 GeV given by LHC can lead to a metastable vacuum with long-enough lifetime [6]. Even though the metastable scenario could be phenomenological acceptable, such scenario is not satisfying and there still exist the possibility of cosmic ray collision induced fast vacuum decay [7,8,9]. So absolute vacuum stability is still the most appealing scenario for theoretical physicists.…”

Section: Introductionmentioning

confidence: 99%

Vacuum stability bounds on higgs mass with gravitational contributions

Wang

2014

Nuclear Physics B

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We calculate the gravitational contributions to φ 4 theory with general R ξ gauge-fixing choice and find that the result is gauge independent. Based on weak coupling expansion of gravity and ignoring the possible higher dimensional operators from "integrating out" the impact of gravity, we study the impacts of gravitational effects on vacuum stability. New contributions to the beta function of scalar quartic coupling λ by gravitational effects can modify the RGE running of λ near the Planck scale. Numerical calculations show that the lower bound of higgs mass requiring absolutely vacuum stability can be relaxed for almost 0.6 to 0.8 GeV depending on the choice of top quark mass.

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Schrittmacher

Cited by 2 publications

References 0 publications

Vacuum stability inU(1)-prime extensions of the Standard Model with TeV scale right handed neutrinos

Vacuum stability inU(1)-prime extensions of the Standard Model with TeV scale right handed neutrinos

Vacuum stability bounds on higgs mass with gravitational contributions

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