Possible finiteness of the Higgs-boson mass renormalization

Ma, Ernest

doi:10.1103/physrevd.47.2143

Cited by 10 publications

(6 citation statements)

References 22 publications

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“…The loop corrections to the definition of VEV, entering through the so-called tadpole 1PI (one point 1PI truncated Green function), causes VEV shift. The VEV shift induced by tadpole 1PI values much in the mass renormalization, which induced the 1PR two-point self-energy of the Higgs field [16], with which we can get gauge invariant mass correction [17,18]. This kind of renormalization method has also been adopted in fermion mass renormalization procedure [39].…”

Section: Renormalization Of the Higgs Mass Involving Quadratic Diverg...mentioning

confidence: 99%

Renormalization group equation, the naturalness problem, and the understanding of the Higgs mass term

Bian

2013

Phys. Rev. D

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The naturalness problem might be studied on the complex two dimensional plane with the technique of dimensional regularization(DREG). The Renormalization group equation(RGE) of the Higgs mass on the plane suggests the Higgs mass approaches zero at ultraviolate (UV) scale, the scale can be Planck scale when the top quark pole mass Mt = 168 GeV. The real issue of the naturalness problem in the sense of Wilsonian renormalization group method is not about quadratic divergences but the rescaling effect. The Higgs mass can be considered to be one composed mass. All terms in the lagrangian in this scenario are marginal terms and no relevant terms are left, thus no rescaling effect to cause the naturalness problem anymore. RGE of the vacuum expectation value (VEV) in the Landau gauge up to two-loop order is studied. Scale-dependent behavior of the composed Higgs mass shows that we can have one tiny Higgs mass at high energy scale, even around the Planck scale, when Mt ≤ 170.7 GeV.

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Section: Renormalization Of the Higgs Mass Involving Quadratic Diverg...mentioning

confidence: 99%

Renormalization group equation, the naturalness problem, and the understanding of the Higgs mass term

Bian

2013

Phys. Rev. D

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“…This O(N ) symmetry should be broken softly and make the lightest scalar S to be DM candidate. The novelty here is that the tadpole contributions are nonnegligible to respect gauge invariance of the Higgs twopoint Green Function [5,6]. The straightforward generalization of the above idea is introducing additional fermionic DM, which can interact with SM through Higgs-portal.…”

Section: Introductionmentioning

confidence: 99%

Two component Higgs-portal dark matter

2014

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In this paper, we construct two component dark matter model and revisit fine-tuning, unitarity and vacuum stability problem in this framework. Through Higgs-portal interactions, the additional scalar and vector singlet field can interact with the SM particles. The parameter space of the model are severely constraint by observed relic density and direct detection experiments. We found that, unlike the SM, the fine-tuning problem is relaxed due to the modified Veltman condition. The vacuum stability problem is addressed, the additional contributions from two DM singlets to the β function make the Higgs quartic coupling λ(µ) be positive up to Planck scale in some parameter space. 1 The simplest solution to the problem is to suppose V C SM = 0 [2], the conventional Veltman condition is realized. It is obvious that this condition could not be satisfied in the SM at low scale, since the top-quark's contribution is larger than the others in this case, giving rise to negative contribution to V C SM .

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“…The presence of these divergences makes the Higgs boson mass extremely sensitive to the UV physics and some cancelation must take place either in a natural manner by assuming a symmetry (usually, supersymmetry) or by fine-tuning by imposing the Veltman condition [6] (see, also, [7][8][9])-namely that the new sector couples to the SM Higgs boson just so as to make the quadratic divergences to the SM Higgs boson mass vanish (see [10][11][12][13][14][15] for various applications of this idea). This is not the hierarchy problem we discuss in this Letter.…”

Section: Motivationsmentioning

confidence: 99%

Low-scale neutrino seesaw mechanism and scalar dark matter

Fabbrichesi

Petcov

2014

Eur. Phys. J. C

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We discuss how two birds-the little hierarchy problem of low-scale type-I seesaw models and the search for a viable dark matter candidate-are (proverbially) killed by one stone: a new inert scalar state. MotivationsTogether with the presence of dark matter (DM), neutrino oscillations-and the small neutrino mass entailed-are the only physics beyond the standard model (SM) experimentally confirmed.The most attractive model to account for the smallness of the neutrino masses is the seesaw mechanism [1][2][3][4]. This mechanism requires right-handed (RH) neutrinos whose masses can be taken at the GUT scale or, in low-scale scenarios, at lower energies if the Yukawa couplings are taken proportionally smaller, for instance, of the order of those of the charged leptons.The inclusion of these new states within the SM induces a finite renormalization that tends to pull the Higgs boson mass (or, equivalently, the electroweak (EW) scale) toward the higher scale. This is not a problem if the new states are themselves at the EW scale and the renormalization is itself of the order of the Higgs boson mass. If instead the new states are at a larger scale, they give rise to a hierarchy problem in which in order to keep the Higgs boson mass to its experimental value we have to cancel the renormalization to the higher scale to a degree that becomes increasingly fine-tuned as the new states are taken at higher mass scales.Such a cancelation can be achieved by a redefinition of the Higgs boson bare mass but it is more appealing and practical to use the hierarchy problem in a heuristic manner to help us in the definition of whatever model of physics we assume to exist beyond the SM [5]. a e-mail: marco@sissa.itThe problem of the large contribution to the Higgs mass m H coming from the new states is best understood in terms of the renormalization group equation (RGE)where the anomalous dimension is given, at one-loop order, byin dimensional regularization and where we only wrote the dominant contributions from the Higgs boson potential (λ), the top quark (λ t ) and the gauge couplings (g 1 and g 2 ). If new states are present at a higher scale, they must be introduced as a threshold effect in order to match the low-and highscale effective theories. That these threshold corrections are larger and larger as the new states are taken to be heavier and heavier is the hierarchy problem in the framework of an effective theory. According to the proposed approach, the new stateswhen they are taken together-must enter in such a way that their overall effect on the Higgs boson mass renormalization is no larger than the EW scale, thus making the bare mass renormalization natural. In other words, using the RGE terminology, the threshold corrections must be small and if the new states are very heavy they must enter in such a way as to cancel their respective contributions.The fine-tuning, if present, is all among the new states rather than between them and the SM contributions. In this approach it is possible to keep the physics at the two ...

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Possible finiteness of the Higgs-boson mass renormalization

Cited by 10 publications

References 22 publications

Renormalization group equation, the naturalness problem, and the understanding of the Higgs mass term

Renormalization group equation, the naturalness problem, and the understanding of the Higgs mass term

Two component Higgs-portal dark matter

Low-scale neutrino seesaw mechanism and scalar dark matter

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