Top Quark and Higgs Boson Masses: Interplay between Infrared and Ultraviolet Physics

Barbara Schrempp (University Kiel; DESY Hamburg); Michael Wimmer (University Kiel; supported by Deutsche Forschungsgemeinschaft)

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Top Quark and Higgs Boson Masses: Interplay between Infrared and Ultraviolet Physics

Barbara Schrempp (University Kiel, DESY Hamburg), Michael Wimmer (University Kiel, supported by Deutsche Forschungsgemeinschaft)

High Energy Physics - Phenomenology · Submitted 19 Jun 1996

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim Interesting hierarchies emerge, most remarkably: IR attraction in the MSSM is systematically stronger than in the SM.

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arXiv IDhep-ph/9606386 (version 1)

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CitationBarbara Schrempp (University Kiel, DESY Hamburg), Michael Wimmer (University Kiel, supported by Deutsche Forschungsgemeinschaft). "Top Quark and Higgs Boson Masses: Interplay between Infrared and Ultraviolet Physics." arXiv:hep-ph/9606386 (1996). https://pith.science/paper/LAT4P4RB

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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.09 · human participants 0.01 · controlled comparison 0.09 · randomized assignment 0.01 · states quantitative result 0.95 · compares with prior results 0.34 · mentions code or data availability 0.02.

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arXiv listing abstract v1. Results and the main claim are underlined; show every role.

We review recent efforts to explore the information on masses of heavy matter particles, notably of the top quark and the Higgs boson, as encoded at the quantum level in the renormalization group (RG) equations. The Standard Model (SM) and the Minimal Supersymmetric Standard Model (MSSM) are considered in parallel. First, the question is addressed to which extent the infrared (IR) physics of the ``top-down'' RG flow is independent of the ultraviolet (UV) physics. The central issues are i) IR attractive fixed point values for the top and the Higgs mass, the most outstanding one being m_t=O(190 GeV)sin(beta) in the MSSM, ii) IR attractive relations between parameters, the most prominent ones being an IR fixed top-Higgs mass relation in the SM, leading to m_H=O(156) GeV for the experimental top mass, and an IR fixed relation between the top mass and tan(beta) in the MSSM, and iii) an analytical assessment of their respective strengths of attraction. The triviality and vacuum stability bounds on the Higgs and top masses in the SM and the upper bound on the lightest Higgs boson mass in the MSSM are reviewed. The mathematical backbone, the rich structure of IR attractive fixed points, lines, surfaces,... in the multiparameter space, is made transparent. Interesting hierarchies emerge, most remarkably: IR attraction in the MSSM is systematically stronger than in the SM. Tau-bottom-(top) Yukawa coupling unification in supersymmetric grand unified theories and its power to focus the ``top-down'' RG flow into the IR top mass fixed point resp. onto the IR fixed line in the m_t-tan(beta) plane is reviewed. The program of reduction of parameters, a search for RG invariant relations between couplings, guided by the requirement of asymptotically free couplings in the UV limit,is summarized; its interrelations with the search for

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We review recent efforts to explore the information on masses of heavy matter particles, notably of the top quark and the Higgs boson, as encoded at the quantum level in the renormalization group (RG) equations.	contribution 0.71	0.20	0.06	asserted 0.66
s1	The Standard Model (SM) and the Minimal Supersymmetric Standard Model (MSSM) are considered in parallel.	method 0.52	0.30	0.02	asserted 0.88
s2	First, the question is addressed to which extent the infrared (IR) physics of the ``top-down'' RG flow is independent of the ultraviolet (UV) physics.	contribution 0.55	0.22	0.04	unclear 0.92
s3	The central issues are i) IR attractive fixed point values for the top and the Higgs mass, the most outstanding one being m_t=O(190 GeV)sin(beta) in the MSSM, ii) IR attractive relations between parameters, the most prominent ones being an IR fixed top-Higgs mass relation in the SM, leading to m_H=O(156) GeV for the experimental top mass, and an IR fixed relation between the top mass and tan(beta) in the MSSM, and iii) an analytical assessment of their respective strengths of attraction.	contribution 0.55	0.31	0.38	asserted 0.98
s4	The triviality and vacuum stability bounds on the Higgs and top masses in the SM and the upper bound on the lightest Higgs boson mass in the MSSM are reviewed.	contribution 0.71	0.10	0.05	asserted 0.72
s5	The mathematical backbone, the rich structure of IR attractive fixed points, lines, surfaces,... in the multiparameter space, is made transparent.	contribution 0.70	0.60	0.07	asserted 1.00
s6	Interesting hierarchies emerge, most remarkably: IR attraction in the MSSM is systematically stronger than in the SM.	result 0.95	0.54	0.37	asserted 1.00
s7	Tau-bottom-(top) Yukawa coupling unification in supersymmetric grand unified theories and its power to focus the ``top-down'' RG flow into the IR top mass fixed point resp. onto the IR fixed line in the m_t-tan(beta) plane is reviewed.	contribution 0.56	0.11	0.07	asserted 0.84
s8	The program of reduction of parameters, a search for RG invariant relations between couplings, guided by the requirement of asymptotically free couplings in the UV limit,is summarized; its interrelations with the search for	contribution 0.63	0.15	0.04	unclear 0.74

What kind of paper the classifier reports this is: review 1.00 · evidence from literature 0.78.

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arXiv listing abstract v1

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The paper

Original abstract

We review recent efforts to explore the information on masses of heavy matter particles, notably of the top quark and the Higgs boson, as encoded at the quantum level in the renormalization group (RG) equations. The Standard Model (SM) and the Minimal Supersymmetric Standard Model (MSSM) are considered in parallel. First, the question is addressed to which extent the infrared (IR) physics of the ``top-down'' RG flow is independent of the ultraviolet (UV) physics. The central issues are i) IR attractive fixed point values for the top and the Higgs mass, the most outstanding one being m_t=O(190 GeV)sin(beta) in the MSSM, ii) IR attractive relations between parameters, the most prominent ones being an IR fixed top-Higgs mass relation in the SM, leading to m_H=O(156) GeV for the experimental top mass, and an IR fixed relation between the top mass and tan(beta) in the MSSM, and iii) an analytical assessment of their respective strengths of attraction. The triviality and vacuum stability bounds on the Higgs and top masses in the SM and the upper bound on the lightest Higgs boson mass in the MSSM are reviewed. The mathematical backbone, the rich structure of IR attractive fixed points, lines, surfaces,... in the multiparameter space, is made transparent. Interesting hierarchies emerge, most remarkably: IR attraction in the MSSM is systematically stronger than in the SM. Tau-bottom-(top) Yukawa coupling unification in supersymmetric grand unified theories and its power to focus the ``top-down'' RG flow into the IR top mass fixed point resp. onto the IR fixed line in the m_t-tan(beta) plane is reviewed. The program of reduction of parameters, a search for RG invariant relations between couplings, guided by the requirement of asymptotically free couplings in the UV limit,is summarized; its interrelations with the search for

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References

Forward citations

Cited by 15 Pith papers

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How the literature uses it

27 arXiv papers cite this in 30 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 17 sentences without a confident label

Uses its method or tool 6 papers

To calculate this at the scale $M_t$, we have included the QCD corrections up to three loops [ref] , electroweak corrections up to one-loop [ref] and the $O(αα_s)$ corrections to the matching of top Yukawa and top pole mass [ref] .

Constraining minimal Type-III Seesaw Model from naturalness, Lepton Flavor Violation and Electroweak Vacuum stability · Vacuum Stability · 0.82
In order to evolve the SM parameters to the scale given by the temperature $μ= 2 πT$, we employ the renormalization group equations (RGEs) from [ref] taking only into account the largest coupling to a quark, i.e. the top quark being the heaviest quark, [equation] where $τ≡ln(μ/ μ_0)$ and we choose $μ_0 = 2 πT_0$ with $T_0 = 10^9 GeV$.

Complete leading-order standard model corrections to quantum leptogenesis · SM parameters for the numerical evaluation · 1.00
Matching corrections for top Yukawa has been taken up to three loop QCD [ref] , one loop electroweak [ref] and $𝒪(αα_s)$ [ref] while for Higgs self coupling, it has been taken up to two loop [ref] .

Constraints on a seesaw model leading to quasidegenerate neutrinos and signatures at the LHC · Metastability bound · 0.90

Uses its data or values 1 paper

As initial conditions we use at $τ_Z ≡ln(m_Z/μ_0)$ [ref] [equation] With the relations between the couplings given in [ref] , one analytically obtains [equation] which we then use to solve the RGEs for $h_t$ and $λ_ϕ$ numerically.

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Cites it as background 6 papers

There is also the issue of the SM vacuum stability [ref] which may require beyond SM physics (see Ref. [ref] for a recent review).

Neutrino masses, vacuum stability and quantum gravity prediction for the mass of the top quark · Introduction · 0.89
For instance, assuming that the description of fundamental physics in terms of standard-model degrees of freedom is valid at a high energy scale $Λ$ and that the theory is sufficiently weakly coupled, the range of possible Higgs boson masses is restricted by a finite range, the so-called infrared (IR) window [ref] .

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Various other discussion of the Higgs and Fermion masses from cosmological restriction are found in [ref] .

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