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What is the Hierarchy Problem?

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arxiv 2505.00694 v3 pith:E676PYY7 submitted 2025-05-01 hep-ph hep-th

Michael E. Peskin This is my paper
classification hep-phhep-th
keywords problemhierarchyexplanationquestionswhatalmostansweranswers
verification ladder T0 review T1 audit T2 compute T3 formal
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Is there a Hierarchy Problem? If so, what, exactly, is the problem? Almost every theorist has a personal answer to these questions. In this article, I give my answers. I will explain that the Hierarchy Problem is not a formal problem but rather our ignorance of a crucial physics explanation -- the explanation of the nature of the Higgs boson. Without the solution to this problem, we cannot make progress on the major questions of our field.

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  1. Gravity and the Higgs boson mass

    hep-th 2025-07 reject novelty 5.0 of 10

    For a scalar field on a sphere, the Fradkin-Vilkovisky measure combined with an on-shell cutoff identification converts the famous quadratic mass divergence into a logarithmic one.

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