Numerical analysis of the Higgs mass triviality bound

Urs M. Heller; Markus Klomfass; Herbert Neuberger; Pavols Vranas

doi:10.1016/0550-3213(93)90559-8

Numerical analysis of the Higgs mass triviality bound

Urs M. Heller, Markus Klomfass, Herbert Neuberger, Pavols Vranas

School of Arts and Sciences, Physics & Astronomy

Research output: Contribution to journal › Article › peer-review

57 Scopus citations

Abstract

Previous large N calculations are combined with numerical work at N=4 to show that the minimal standard model will describe physics to an accuracy of a few percent up to energies of the order two to four times the Higgs mass, M_H, only if M_H≤710±60 GeV. This bound is the result of a systematic search in the space of dimension-six operators and is expected to hold in the continuum. Given that studying the scalar sector in isolation is already an approximation, we believe that our result is sufficiently accurate and before further refinements are attempted their relevance to particle physics should be carefully considered.

Original language	English (US)
Pages (from-to)	555-573
Number of pages	19
Journal	Nuclear Physics, Section B
Volume	405
Issue number	2-3
DOIs	https://doi.org/10.1016/0550-3213(93)90559-8
State	Published - Sep 20 1993

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

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10.1016/0550-3213(93)90559-8

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abstract = "Previous large N calculations are combined with numerical work at N=4 to show that the minimal standard model will describe physics to an accuracy of a few percent up to energies of the order two to four times the Higgs mass, MH, only if MH≤710±60 GeV. This bound is the result of a systematic search in the space of dimension-six operators and is expected to hold in the continuum. Given that studying the scalar sector in isolation is already an approximation, we believe that our result is sufficiently accurate and before further refinements are attempted their relevance to particle physics should be carefully considered.",

author = "Heller, {Urs M.} and Markus Klomfass and Herbert Neuberger and Pavols Vranas",

note = "Funding Information: The simulations for obtaining the phase diagram and the simulations of some of the smaller lattices were done on the cluster of IBM workstations at SCRI. The rest of the numerical work was done on the GRAY Y-MP at FSU. This research was supported in part by the DOE under grant #DE-FGO5-85ER250000 (U.M.H., M.K. and P.V.), grant #DE-FGO5-92ER40742 (U.M.H. and P.V.), and under grant #DE-FGO5-90ER40559 (H.N.).",

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AU - Heller, Urs M.

AU - Klomfass, Markus

AU - Neuberger, Herbert

AU - Vranas, Pavols

N1 - Funding Information: The simulations for obtaining the phase diagram and the simulations of some of the smaller lattices were done on the cluster of IBM workstations at SCRI. The rest of the numerical work was done on the GRAY Y-MP at FSU. This research was supported in part by the DOE under grant #DE-FGO5-85ER250000 (U.M.H., M.K. and P.V.), grant #DE-FGO5-92ER40742 (U.M.H. and P.V.), and under grant #DE-FGO5-90ER40559 (H.N.).

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N2 - Previous large N calculations are combined with numerical work at N=4 to show that the minimal standard model will describe physics to an accuracy of a few percent up to energies of the order two to four times the Higgs mass, MH, only if MH≤710±60 GeV. This bound is the result of a systematic search in the space of dimension-six operators and is expected to hold in the continuum. Given that studying the scalar sector in isolation is already an approximation, we believe that our result is sufficiently accurate and before further refinements are attempted their relevance to particle physics should be carefully considered.

AB - Previous large N calculations are combined with numerical work at N=4 to show that the minimal standard model will describe physics to an accuracy of a few percent up to energies of the order two to four times the Higgs mass, MH, only if MH≤710±60 GeV. This bound is the result of a systematic search in the space of dimension-six operators and is expected to hold in the continuum. Given that studying the scalar sector in isolation is already an approximation, we believe that our result is sufficiently accurate and before further refinements are attempted their relevance to particle physics should be carefully considered.

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Numerical analysis of the Higgs mass triviality bound

Abstract

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