A complex bumblebee model is formulated with gauge and longitudinal couplings; one-loop RG functions are derived and the leading-log effective potential indicates possible dynamical Lorentz violation.
Radiative Electroweak Symmetry-Breaking Revisited
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abstract
In the absence of a tree-level scalar-field mass, renormalization-group methods permit the explicit summation of leading-logarithm contributions to all orders of the perturbative series within the effective potential for $SU(2)\times U(1)$ electroweak symmetry. This improvement of the effective potential function is seen to reduce residual dependence on the renormalization mass scale. The all-orders summation of leading logarithm terms involving the dominant three couplings contributing to radiative corrections is suggestive of a potential characterized by a plausible Higgs boson mass of 216 GeV. However, the tree potential's local minimum at $\phi =0$ is restored if QCD is sufficiently strong.
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Complex bumblebee model
A complex bumblebee model is formulated with gauge and longitudinal couplings; one-loop RG functions are derived and the leading-log effective potential indicates possible dynamical Lorentz violation.