Top quark and Higgs boson masses from wormhole physics

Physics

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Renormalization Group Evolution Of Parameters, Quantum Gravity, Top Quarks, Standard-Model Higgs Bosons

Scientific paper

We bring together quantum field theory on S4 with the Coleman wormhole hypothesis, which imposes constraints on terms in the gravitational Lagrangian. In particular, we investigate the effect of matter fields on the trace anomaly, which is related to the (curvature)2 terms, by the use of the renormalization group equations. We consider a toy model of a nonconformally coupled Higgs boson to a single ``top'' quark. By numerically solving the renormalization group equations for the couplings of the model, we can find preferred values of the particle masses for various values of the bare nonconformal coupling. By making the ad hoc assumption that the tree-level, Higgs boson treace anomaly vanishes on shell, a unique prediction can be made within this model for the masses of both the Higgs boson and the top quark.

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