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Stability of the Scalar Mass against Loop Corrections

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arxiv 2410.21118 v2 pith:5DKM7VOE submitted 2024-10-28 hep-ph hep-th

Stability of the Scalar Mass against Loop Corrections

classification hep-ph hep-th
keywords loopmassscalarcorrectionsfieldrenormalizedheavyhere
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We show that the renormalized loop corrections to the scalar mass are suppressed if the field in the loop is heavy. Here, treating the renormalized mass is important, as it is the only observable. This means that the physics of a low-energy scalar field is insensitive to that of ultraviolet.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Gauge-Invariant Off-Shell Mass

    hep-th 2026-07 conditional novelty 6.5

    A segment-local Ward–Takahashi cancellation makes the fermion self-energy equal to its Feynman-gauge value off shell, yielding a gauge-invariant, on-shell-renormalized mass function m(q).

  2. The Gauge-Invariant Mass Function

    hep-th 2026-04 unverdicted novelty 6.0

    Renormalization defines a gauge-invariant mass function at every virtuality in gauge theories.

  3. Natural Higgs Mass from Power-Law Running

    hep-ph 2026-03 conditional novelty 5.0

    Power-law running of the renormalized scalar mass function maps an order-one GUT boundary condition to the electroweak Higgs mass via the SM's small top-dominated anomalous dimension, without protective symmetries.