φ4 on F4: Numerical results

Gyan Bhanot; Khalil Bitar; Urs M. Heller; Herbert Neuberger

doi:10.1016/0550-3213(91)90348-2

φ⁴ on F₄: Numerical results

Gyan Bhanot
, Khalil Bitar
, Urs M. Heller
, Herbert Neuberger

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

38 Scopus citations

Abstract

In this paper we present results from numerically simulating the scalar sector of the minimal standard model on an F₄ lattice. This lattice obeys Lorentz invariance to a higher degree than hypercubic lattices previously used in this context. The major result of our study is that if one is willing to tolerate cutoff effects up to about 3% in the W_L-W_L scattering cross section, the upper bound on the mass of the Higgs boson in the simplest F₄ model is 590 GeV with an error of about 60 GeV.

Original language	English (US)
Pages (from-to)	551-564
Number of pages	14
Journal	Nuclear Physics, Section B
Volume	353
Issue number	2
DOIs	https://doi.org/10.1016/0550-3213(91)90348-2
State	Published - Apr 15 1991
Externally published	Yes

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

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10.1016/0550-3213(91)90348-2

Cite this

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title = "φ4 on F4: Numerical results",

abstract = "In this paper we present results from numerically simulating the scalar sector of the minimal standard model on an F4 lattice. This lattice obeys Lorentz invariance to a higher degree than hypercubic lattices previously used in this context. The major result of our study is that if one is willing to tolerate cutoff effects up to about 3\% in the WL-WL scattering cross section, the upper bound on the mass of the Higgs boson in the simplest F4 model is 590 GeV with an error of about 60 GeV.",

author = "Gyan Bhanot and Khalil Bitar and Heller, \{Urs M.\} and Herbert Neuberger",

note = "Funding Information: This work was partially supported by the US Department of Energy under contract DE-FC05-85ER250000 (K .B . and U .M .H .) and contract DF.-FG05-90ER40559 (H .N .). The work of G .B . was partly supported by a New Jersey High Technology Grant 88-240090-2 . The numerical calculations were done on the ETA10-G at SCRI and, supported by the NSF under grant PHY-870041, on the Cray-YMP at the Pittsburgh Supercomputing Center .",

year = "1991",

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doi = "10.1016/0550-3213(91)90348-2",

language = "English (US)",

volume = "353",

pages = "551--564",

journal = "Nuclear Physics, Section B",

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publisher = "Elsevier B.V.",

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TY - JOUR

T1 - φ4 on F4

T2 - Numerical results

AU - Bhanot, Gyan

AU - Bitar, Khalil

AU - Heller, Urs M.

AU - Neuberger, Herbert

N1 - Funding Information: This work was partially supported by the US Department of Energy under contract DE-FC05-85ER250000 (K .B . and U .M .H .) and contract DF.-FG05-90ER40559 (H .N .). The work of G .B . was partly supported by a New Jersey High Technology Grant 88-240090-2 . The numerical calculations were done on the ETA10-G at SCRI and, supported by the NSF under grant PHY-870041, on the Cray-YMP at the Pittsburgh Supercomputing Center .

PY - 1991/4/15

Y1 - 1991/4/15

N2 - In this paper we present results from numerically simulating the scalar sector of the minimal standard model on an F4 lattice. This lattice obeys Lorentz invariance to a higher degree than hypercubic lattices previously used in this context. The major result of our study is that if one is willing to tolerate cutoff effects up to about 3% in the WL-WL scattering cross section, the upper bound on the mass of the Higgs boson in the simplest F4 model is 590 GeV with an error of about 60 GeV.

AB - In this paper we present results from numerically simulating the scalar sector of the minimal standard model on an F4 lattice. This lattice obeys Lorentz invariance to a higher degree than hypercubic lattices previously used in this context. The major result of our study is that if one is willing to tolerate cutoff effects up to about 3% in the WL-WL scattering cross section, the upper bound on the mass of the Higgs boson in the simplest F4 model is 590 GeV with an error of about 60 GeV.

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UR - https://www.scopus.com/pages/publications/0000617842#tab=citedBy

U2 - 10.1016/0550-3213(91)90348-2

DO - 10.1016/0550-3213(91)90348-2

M3 - Article

AN - SCOPUS:0000617842

SN - 0550-3213

VL - 353

SP - 551

EP - 564

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

IS - 2

ER -

φ⁴ on F₄: Numerical results

Abstract

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