# A Cutoff Constrained by the Oblique Parameters in Electroweak Theory with Two Massless Higgs Doublets

Source: [A Cutoff Constrained by the Oblique Parameters in Electroweak Theory with Two Massless Higgs Doublets](<https://www.sota2.com/research/paper/68fa243e2c2a3760193a164b>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T08:59:10.488Z

Authors: K. Takenaga

Published: 1995-10-19T19:27:44.000Z

## Abstract

Electroweak theory with two massless Higgs doublets is studied by solving renormalization group equations for coupling constants in one-loop approximation. A cutoff~$\\Lambda$, at which one of quartic couplings in the Higgs potential blows up, is obtained by imposing constraints from the oblique parameter $T$ on the quartic couplings at low energy. We find $\\Lambda \\simeq 0.52\\sim 8.4$~TeV at the Higgs mass $M\_H=100$ GeV. The cutoff $\\Lambda$ is at most about $60$ TeV even if we take into account the LEP lower bound of $M\_H\\simeq 64$ GeV. It cannot reach the Planck or GUT scale due to severe experimental constraints. It is impossible in the model to realize a large gauge hierarchy as suggested many years ago by S. Weinberg.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/hep-ph/9510348>)

[PDF](<https://arxiv.org/pdf/hep-ph/9510348.pdf>)