Flux compactifications and naturalness
Copyright policy )Flux compactifications and naturalness
AbstractFree 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 a large scalar mass term 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.
dimension: 6, High Energy Physics - Theory, dimension: 4, FOS: Physical sciences, torus, coupling: scalar, hierarchy, QC770-798, 530, correction: quantum, interaction: Yukawa, High Energy Physics - Phenomenology (hep-ph), Flux compactifications, Nuclear and particle physics. Atomic energy. Radioactivity, effective field theories, info:eu-repo/classification/ddc/530, compactification: flux, electroweak interaction, [PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th], scale: Planck, Effective Field Theories, Model quantum field theories, symmetry: scalar, High Energy Physics - Phenomenology, Higgs particle: mass, High Energy Physics - Theory (hep-th), [PHYS.HPHE]Physics [physics]/High Energy Physics - Phenomenology [hep-ph], flux: magnetic, Weak interaction in quantum theory, flux compactifications
dimension: 6, High Energy Physics - Theory, dimension: 4, FOS: Physical sciences, torus, coupling: scalar, hierarchy, QC770-798, 530, correction: quantum, interaction: Yukawa, High Energy Physics - Phenomenology (hep-ph), Flux compactifications, Nuclear and particle physics. Atomic energy. Radioactivity, effective field theories, info:eu-repo/classification/ddc/530, compactification: flux, electroweak interaction, [PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th], scale: Planck, Effective Field Theories, Model quantum field theories, symmetry: scalar, High Energy Physics - Phenomenology, Higgs particle: mass, High Energy Physics - Theory (hep-th), [PHYS.HPHE]Physics [physics]/High Energy Physics - Phenomenology [hep-ph], flux: magnetic, Weak interaction in quantum theory, flux compactifications
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