Mass from Nothing
arxiv(2024)
摘要
We study the Abelian Higgs model with multiple scalar fields, but without
mass terms. Solving the model non-perturbatively order-by-order in the number
of scalar fields, we find that radiative corrections generate masses for the
scalar and gauge boson, without spontaneous symmetry breaking. The mass scales
are set by the Λ-parameter of the electroweak running coupling, thereby
naturally avoiding the hierarchy problem. No part of our calculation employs a
weak-coupling expansion, and we find that the perturbative vacuum is
metastable, and hence must decay to the stable non-perturbative vacuum of the
theory, which we identify. Although the field content of our Lagrangian is
standard, our results predict the existence of two heavy scalar resonances in
addition to the Higgs. We believe that these predicted resonances will
ultimately allow experimentalists to discriminate between our method and
standard solutions of the Higgs model.
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