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Prog. Theor. Phys. Vol. 113 No. 2 (2005) pp. 413-427

Large Mass Scale by Strong Gauge Dynamics with Infrared Fixed Point

Tatsuo Kobayashi,^1,* Hiroaki Nakano,^2,** Haruhiko Terao^3,*** and Yoshihisa Yamada^2,****

¹ Department of Physics, Kyoto University, Kyoto 606-8502, Japan
²Department of Physics, Niigata University, Niigata 950-2181, Japan
³Institute for Theoretical Physics, Kanazawa University, Kanazawa 920-1192, Japan

(Received November 12, 2004)

Abstract:

We consider a mechanism for realizing the desired decoupling of the 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. A vacuum instability is caused by a 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 that the soft mass of the singlet is at most of the same order as the soft masses of squarks and sleptons, which are much more strongly 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 an RG-improved effective potential.

URL : http://ptp.ipap.jp/link?PTP/113/413/
DOI : 10.1143/PTP.113.413

^*E-mail: kobayash@gauge.scphys.kyoto-u.ac.jp
^**E-mail: nakano@muse.sc.niigata-u.ac.jp
^***E-mail: terao@hep.s.kanazawa-u.ac.jp
^****E-mail: yoshi@muse.sc.niigata-u.ac.jp

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