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| Report/Journal Article | PUBDB-2018-03283 |
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2018
Springer
Berlin
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Please use a persistent id in citations: doi:10.1007/JHEP08(2018)151 doi:10.3204/PUBDB-2018-03283
Report No.: CPHT-RR020.042018; DESY-18-048; arXiv:1804.07497
Abstract: Free massless scalars have a shift symmetry. This is usually broken by gauge and Yukawa interactions, such that quantum corrections induce a quadratically divergent mass term. In the Standard Model this leads to the hierarchy problem of the electroweak theory, the question why the Higgs mass is so much smaller than the Planck mass. We present an example where this problem is avoided by coupling the scalar to an infinite tower of massive states which are obtained from a six-dimensional theory compactified on a torus with magnetic flux. The series of divergent quantum corrections adds up to zero, and we show explicitly that the shift symmetry of the scalar is preserved in the effective four-dimensional theory despite the presence of gauge and Yukawa interaction terms.
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Flux compactifications and the hierarchy problem
[10.3204/PUBDB-2018-02140]
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