Boundedness from below of the SU(5) Higgs potential

R. MacKenzie; Frank Wilczek

doi:10.1103/PhysRevD.26.3679

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Boundedness from below of the SU(5) Higgs potential

R. MacKenzie

Frank Wilczek

Department of Physics, University of California at Santa Barbara, Santa Barbara, California 93106

Institute for Theoretical Physics, University of California at Santa Barbara, Santa Barbara, California 93106

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Phys. Rev. D 26, 3679 – Published 15 December, 1982

DOI: https://doi.org/10.1103/PhysRevD.26.3679

Abstract

We explore the conditions which the dimensionless parameters of the SU(5) Higgs potential must satisfy in order that the potential be bounded from below. While no complete set of constraints can be written down in a transparent way, a simple algorithm is developed which determines, for given values of the parameters, whether or not the potential is bounded from below. Regions in parameter space where our vacuum is metastable are identified.

References (7)

H. Georgi and S. L. Glashow, Phys. Rev. Lett. 32, 438 (1974)
M. Turner and F. Wilczek, Nature 298, 633 (1982)
J. Ellis et al., Nucl. Phys. B164, 253 (1980)
A. J. Buras, J. Ellis, M. K. Gaillard, and D. V. Nanopoulos, Nucl. Phys. B135, 66 (1978)
M. Magg and Q. Shafi, Z. Phys. C 4, 63 (1980)
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T. N. Sherry, J. Phys. A 13, 2205 (1980)

[c1] H. Georgi and S. L. Glashow, Phys. Rev. Lett. 32, 438 (1974)

[c2] M. Turner and F. Wilczek, Nature 298, 633 (1982)

[c3] J. Ellis et al., Nucl. Phys. B164, 253 (1980)

[c4] A. J. Buras, J. Ellis, M. K. Gaillard, and D. V. Nanopoulos, Nucl. Phys. B135, 66 (1978)

[c5] M. Magg and Q. Shafi, Z. Phys. C 4, 63 (1980)

[c6] L. F. Li, Phys. Rev. D 9, 1723 (1974)

[c7] T. N. Sherry, J. Phys. A 13, 2205 (1980)

Physical Review D

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Boundedness from below of the SU(5) Higgs potential

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References (7)

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