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Andreassen, Anders

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Andreassen

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Andreassen, Anders

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2014 - 20152

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Author's Publications: search.filters.isAuthorOfPublication.b466c2e3-28ca-48f7-ab0a-0eeca7032cfb

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    Consistent Use of the Standard Model Effective Potential
    (American Physical Society (APS), 2014) Andreassen, Anders; Frost, William; Schwartz, Matthew
    The stability of the Standard Model is determined by the true minimum of the effective Higgs potential. We show that the potential at its minimum when computed by the traditional method is strongly dependent on the gauge parameter. It moreover depends on the scale where the potential is calculated. We provide a consistent method for determining absolute stability independent of both gauge and calculation scale, order by order in perturbation theory. This leads to a revised stability bounds m pole h > (129.4 ± 2.3) GeV and m pole t < (171.2 ± 0.3) GeV. We also show how to evaluate the effect of new physics on the stability bound without resorting to unphysical field values.
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    Consistent use of effective potentials
    (American Physical Society (APS), 2015) Andreassen, Anders; Frost, William; Schwartz, Matthew
    It is well known that effective potentials can be gauge dependent while their values at extrema should be gauge invariant. Unfortunately, establishing this invariance in perturbation theory is not straightforward, since contributions from arbitrarily high-order loops can be of the same size. We show in massless scalar QED that an infinite class of loops can be summed (and must be summed) to give a gauge-invariant value for the potential at its minimum. In addition, we show that the exact potential depends on both the scale at which it is calculated and the normalization of the fields, but the vacuum energy does not. Using these insights, we propose a method to extract some physical quantities from effective potentials which is self-consistent order by order in perturbation theory, including improvement with the renormalization group.