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ΔI=12 rule and Glashow-Iliopoulos-Maiani current with unconfined color

Mituaki Katuya and Yoshio Koide

  • Laboratory of Physics, Shizuoka Women's University, Yada 409, Shizuoka, Japan 422

Phys. Rev. D 16, 165 – Published 1 July, 1977

DOI: https://doi.org/10.1103/PhysRevD.16.165

Abstract

We study a four-flavor model with unconfined color in the framework of the SU(2)LU(1) gauge model. The presence of a color-octet charged current leads to a violation of the universality of the hadronic and leptonic currents; therefore, heavy leptons are needed inevitably to compensate the violation. A condition for cancellation of (84, 1) representation in the combination of current products (15,1)⊗(15,1)+(15,8)⊗(15,8), which explains successfully the observed ΔI=12 rule, leads to the result that the slope of the linearly rising cross section σ(νμ(ν¯μ)Nμ(μ+)X) must be more than twice as large at energies high enough to produce the color-octet states as it is at lower energies, even if the effects of the weak boson and heavy leptons are taken into account.

Comments & Replies

Color-octet weak current induced by quark mixing

Mituaki Katuya and Yoshio Koide
Phys. Rev. D 17, 1468 (1978)

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