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Gauge Independent Effective Potential and the Higgs Mass Bound
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We introduce the Vilkovisky-DeWitt formalism for deriving the lower bound of the Higgs boson mass. We illustrate the formalism with a simplified version of the Standard Electroweak Model, where all charged boson fields as well as the bottom-quark field are disregarded. The effective potential obtained in this approach is gauge independent. We derive from the effective potential the mass bound of the Higgs boson. The result is compared to its counterpart obtained from the ordinary effective potential.
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Comments on the gauge dependence of the effective potential and the utility of the Vilkovisky-DeWitt formalism
At an extremum, the effective potential is independent of the gauge-fixing parameter when the gauge-fixing function has zero vacuum expectation value; the Vilkovisky-DeWitt potential is gauge-fixing independent by con...
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