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Large Mass Scale by Strong Gauge Dynamics with Infrared Fixed Point

Tatsuo Kobayashi·Hiroaki Nakano·Haruhiko Terao·Yoshihisa Yamada
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Abstract

We consider a mechanism for realizing the desired decoupling of strongly-coupled sector which is supposed to generate hierarchical structure of the Yukawa couplings. In our mechanism, the same strongly-coupled sector is responsible for generating a sufficiently flat potential and a large vacuum expectation value (VEV) of a gauge-singlet scalar field by suppressing its soft scalar mass and self-coupling. Vacuum instability is caused by supersymmetry-breaking A-term of order 10 TeV. We explicitly demonstrate the infrared convergence of soft scalar masses due to strongly-coupled dynamics and show the soft mass of the singlet is at most comparable to soft masses of squarks and sleptons, which are much suppressed than the A-term. The physical mass scale of the decoupling is calculated in a self-consistent way. We also reinterpret the result in terms of a RG-improved effective potential.

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Tatsuo Kobayashi, Hiroaki Nakano, Haruhiko Terao, Yoshihisa Yamada. 2004-11-22. Large Mass Scale by Strong Gauge Dynamics with Infrared Fixed Point. https://doi.org/10.1143/ptp.113.413

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