Regularization dependence of the Higgs mass triviality bound

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

doi:10.1016/0920-5632(93)90302-M

Regularization dependence of the Higgs mass triviality bound

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

School of Arts and Sciences, Physics & Astronomy

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

4 Scopus citations

Abstract

We calculate the triviality bound on the Higgs mass in scalar field theory models whose global symmetry group SU(2)_L × SU(2)_custodial ≈ O(4) has been replaced by O(N) and N has been taken to infinity. Limits on observable cutoff effects at four percent in several regularized models with tunable couplings in the bare action yield triviality bounds displaying a large degree of universality. Extrapolating from N = ∞ to N = 4 we conservatively estimate that a Higgs particle with mass up to 0.750 TeV and width up to 0.290 TeV is realizable without large cutoff effects, indicating that strong scalar self interactions in the standard model are not ruled out. We also present preliminary numerical results of the physical N = 4 case for the F₄ lattice that are in agreement with the large N expectations.

Original language	English (US)
Pages (from-to)	685-689
Number of pages	5
Journal	Nuclear Physics B (Proceedings Supplements)
Volume	30
Issue number	C
DOIs	https://doi.org/10.1016/0920-5632(93)90302-M
State	Published - Mar 1993

All Science Journal Classification (ASJC) codes

Atomic and Molecular Physics, and Optics
Nuclear and High Energy Physics

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10.1016/0920-5632(93)90302-M

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title = "Regularization dependence of the Higgs mass triviality bound",

abstract = "We calculate the triviality bound on the Higgs mass in scalar field theory models whose global symmetry group SU(2)L × SU(2)custodial ≈ O(4) has been replaced by O(N) and N has been taken to infinity. Limits on observable cutoff effects at four percent in several regularized models with tunable couplings in the bare action yield triviality bounds displaying a large degree of universality. Extrapolating from N = ∞ to N = 4 we conservatively estimate that a Higgs particle with mass up to 0.750 TeV and width up to 0.290 TeV is realizable without large cutoff effects, indicating that strong scalar self interactions in the standard model are not ruled out. We also present preliminary numerical results of the physical N = 4 case for the F4 lattice that are in agreement with the large N expectations.",

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T1 - Regularization dependence of the Higgs mass triviality bound

AU - Heller, Urs M.

AU - Klomfass, Markus

AU - Neuberger, Herbert

AU - Vranas, Pavlos M.

PY - 1993/3

Y1 - 1993/3

N2 - We calculate the triviality bound on the Higgs mass in scalar field theory models whose global symmetry group SU(2)L × SU(2)custodial ≈ O(4) has been replaced by O(N) and N has been taken to infinity. Limits on observable cutoff effects at four percent in several regularized models with tunable couplings in the bare action yield triviality bounds displaying a large degree of universality. Extrapolating from N = ∞ to N = 4 we conservatively estimate that a Higgs particle with mass up to 0.750 TeV and width up to 0.290 TeV is realizable without large cutoff effects, indicating that strong scalar self interactions in the standard model are not ruled out. We also present preliminary numerical results of the physical N = 4 case for the F4 lattice that are in agreement with the large N expectations.

AB - We calculate the triviality bound on the Higgs mass in scalar field theory models whose global symmetry group SU(2)L × SU(2)custodial ≈ O(4) has been replaced by O(N) and N has been taken to infinity. Limits on observable cutoff effects at four percent in several regularized models with tunable couplings in the bare action yield triviality bounds displaying a large degree of universality. Extrapolating from N = ∞ to N = 4 we conservatively estimate that a Higgs particle with mass up to 0.750 TeV and width up to 0.290 TeV is realizable without large cutoff effects, indicating that strong scalar self interactions in the standard model are not ruled out. We also present preliminary numerical results of the physical N = 4 case for the F4 lattice that are in agreement with the large N expectations.

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EP - 689

JO - Nuclear and Particle Physics Proceedings

JF - Nuclear and Particle Physics Proceedings

IS - C

ER -

Regularization dependence of the Higgs mass triviality bound

Abstract

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