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arXiv · 2603.15081

Natural Higgs Mass from Power-Law Running

Kang-Sin Choi
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Abstract

The renormalized scalar mass squared is a function of the energy scale and power-runs as its square. Well above the electroweak scale, its dimensionless couplings evolve only slowly, so the Standard Model is approximately scale invariant, and an order-one boundary value supplied at the unification scale is mapped exponentially down to the electroweak scale, much as the QCD scale arises from a dimensionless coupling alone. The 28 orders of magnitude separating the two then measure the smallness of an anomalous dimension, dominated by the top-quark Yukawa coupling, rather than a tuning. Naturalness is thereby recast as the value of an order-one ratio, with no protective symmetry required.

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Kang-Sin Choi. 2026-03-16. Natural Higgs Mass from Power-Law Running. https://arxiv.org/abs/2603.15081

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