Comment on “Bare Higgs mass at Planck scale”

Jones, D.R.T.

doi:10.1103/physrevd.88.098301

Cited by 24 publications

(27 citation statements)

References 13 publications

(34 reference statements)

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“…In section 8 we apply our regularization prescription to the two-loop computation of the scalar fields effective potential focusing, however, only on its divergences. We determine in this way the two-loop coefficient proportional to Λ 2 of the counterterm to the effective potential which turns out to be different than that found using the dimensional reduction (DimRed) [11,12] which has been recently…”

Section: Jhep11(2016)105mentioning

confidence: 83%

“…In what follows we will work in the Landau gauge 11) which leads to some simplifications due to the presence in this gauge of additional symmetries of I Rest 0 (see appendix A.1). The action on fields of the BRST "differential" s(·) is given by [15] …”

Section: Jhep11(2016)105mentioning

confidence: 99%

“…It relies on the fact that the bare 1PI functions Γ (1B) Dim calculated using DimReg do satisfy the ST identities, provided the naive definition of γ 5 is employed. 11 Thus, replacing in the ST identities each bare one-loop 1PI function…”

Section: Jhep11(2016)105mentioning

confidence: 99%

“…These assumptions are satisfied in the DimRed scheme because the coefficient of the quadratic divergence of the sunset integral (G.1) is in DimRed given by the residue of the pole at d = 3 [11,12], while the quadratic divergences of the remaining O( 2 ) contributions correspond to residues of the poles at d = 2. The fact that the result of [13] agrees with the one of [11,12] suggests that the cutoff on the integrals was in [13] imposed after their reduction to the basic integrals.…”

Section: Jhep11(2016)105mentioning

confidence: 99%

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Two-loop RGE of a general renormalizable Yang-Mills theory in a renormalization scheme with an explicit UV cutoff

Chankowski

Lewandowski

Meissner

2016

J. High Energ. Phys.

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We perform a systematic one-loop renormalization of a general renormalizable Yang-Mills theory coupled to scalars and fermions using a regularization scheme with a smooth momentum cutoff Λ (implemented through an exponential damping factor). We construct the necessary finite counterterms restoring the BRST invariance of the effective action by analyzing the relevant Slavnov-Taylor identities. We find the relation between the renormalized parameters in our scheme and in the conventional MS scheme which allow us to obtain the explicit two-loop renormalization group equations in our scheme from the known two-loop ones in the MS scheme. We calculate in our scheme the divergences of two-loop vacuum graphs in the presence of a constant scalar background field which allow us to rederive the two-loop beta functions for parameters of the scalar potential. We also prove that consistent application of the proposed regularization leads to counterterms which, together with the original action, combine to a bare action expressed in terms of bare parameters. This, together with treating Λ as an intrinsic scale of a hypothetical underlying finite theory of all interactions, offers a possibility of an unconventional solution to the hierarchy problem if no intermediate scales between the electroweak scale and the Planck scale exist.

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Section: Jhep11(2016)105mentioning

confidence: 83%

Section: Jhep11(2016)105mentioning

confidence: 99%

Section: Jhep11(2016)105mentioning

confidence: 99%

Section: Jhep11(2016)105mentioning

confidence: 99%

See 2 more Smart Citations

Two-loop RGE of a general renormalizable Yang-Mills theory in a renormalization scheme with an explicit UV cutoff

Chankowski

Lewandowski

Meissner

2016

J. High Energ. Phys.

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“…Including only the leading fermionic contribution from the top quark with N c colors, the quadratic correction to the Higgs mass is [20,21]:…”

Section: A Toy Modelmentioning

confidence: 99%

Little Conformal Symmetry

Houtz

Colwell

Terning

2016

J. High Energ. Phys.

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We explore a new class of natural models which ensure the one-loop divergences in the Higgs mass are cancelled. The top-partners that cancel the top loop are new gauge bosons, and the symmetry relation that ensures the cancellation arises at an infrared fixed point. Such a cancellation mechanism can, a la Little Higgs models, push the scale of new physics that completely solves the hierarchy problem up to 5-10 TeV. When embedded in a supersymmetric model, the stop and gaugino masses provide the cutoffs for the loops, and the mechanism ensures a cancellation between the stop and gaugino mass dependence of the Higgs mass parameter.

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Bare Parameters at Cutoff Scale

Hamada

2017

Springer Theses

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Comment on “Bare Higgs mass at Planck scale”

Abstract: Old and new calculations of the Higgs mass quadratic divergence are compared.

Cited by 24 publications

References 13 publications

Two-loop RGE of a general renormalizable Yang-Mills theory in a renormalization scheme with an explicit UV cutoff

Two-loop RGE of a general renormalizable Yang-Mills theory in a renormalization scheme with an explicit UV cutoff

Little Conformal Symmetry

Bare Parameters at Cutoff Scale

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