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Abstract |
Free massless scalars have a shift symmetry. This is usually broken by interactions, such that quantum
corrections induce a quadratically divergent mass term. In the Standard Model this leads to the hierarchy
problem, the question why the Higgs mass is so much smaller than the Planck mass. We present an example
where a large scalar mass term is avoided by coupling the scalar to an infinite tower of massive states,
obtained from a six-dimensional theory compactified on a torus with magnetic flux. We show that the shift
symmetry of the scalar is preserved in the effective four-dimensional theory despite the presence of gauge
and Yukawa interaction terms. |
