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Prog. Theor. Phys. Vol. 109 No. 5 (2003) pp. 831-842

[ Full Text PDF : FREE ACCESS (161K) ]

Unitarity in Gauge Symmetry Breaking on an Orbifold

Yoshikazu Abe, Naoyuki Haba, Yoshihiro Higashide, Kenzo Kobayashi and Mamoru Matsunaga

Faculty of Engineering, Mie University, Tsu 514-8507, Japan

(Received February 16, 2003)

Abstract:

We study the unitarity bounds of scattering amplitudes in extra-dimensional gauge theory, in which the gauge symmetry is broken by the boundary conditions. The evaluation of the amplitude of the diagram including four massive gauge bosons in the external lines shows that the asymptotic power behavior of the amplitude is canceled. The calculation is carried out with the 5-dimensional standard model and the SU(5) grand unified theory, whose 5th dimensional coordinate is compactified on S1/Z2. The gauge theories broken through the orbifolding preserve unitarity at high energies, similarly to the broken gauge theories in which the gauge bosons acquire masses through the Higgs mechanism. We show that the contributions of the Kaluza-Klein states play a crucial role in conserving the unitarity.


URL : http://ptp.ipap.jp/link?PTP/109/831/
DOI : 10.1143/PTP.109.831

[ Full Text PDF : FREE ACCESS (161K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 112 No. 4 (2004) pp. 629-638 :
    Higgsless Gauge Symmetry Breaking with a Large Mass Hierarchy
    Tomoaki Nagasawa and Makoto Sakamoto
  2. Progress of Theoretical Physics Vol. 113 No. 1 (2005) pp. 199-213 :
    4D Equivalence Theorem and Gauge Symmetry on an Orbifold
    Yoshikazu Abe, Naoyuki Haba, Katsuhiro Hayakawa, Yasunori Matsumoto, Mamoru Matsunaga and Kenta Miyachi
  3. Progress of Theoretical Physics Vol. 118 No. 2 (2007) pp. 315-335 :
    Selecting Gauge Theories on an Interval by 5D Gauge Transformations
    Norisuke Sakai and Nobuhiro Uekusa

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