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Are leptoquark bosons confined?

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Lettere al Nuovo Cimento (1971-1985)

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References

  1. G. S. LaRue, W. M. Fairbank andA. F. Hebard:Phys. Rev. Lett.,38, 1011 (1977);P. C. M. Yock:Phys. Rev. D (to appear).

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  2. Justification for these widely held beliefs is given inR. N. Mohapatra, J. C. Pati andA. Salam:Phys. Rev. D,13, 1733 (1976).

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  5. The V15 generator eventually contributes to the electromagnetic currents, as described in ref. (4). and inC. Elias andA. R. Swift:Phys. Rev. D,15, 1937 (197). We assume for simplicity that color-SU 4 is broken toSU 3; hence V15 acquires a mass comparable to that of the leptoquark bosons. A more physical approach is to haveSU 4×U 1 break toSU 8×U 1 e.m., whereU 1 e.m.is a linear combination of the originalU 1 and the V15 generator ofSU 4.

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  8. These arguments are the same as those used to justify the decoupling theorem (T. Appelquist andJ. Carazzone:Phys. Rev. D,11, 2856 (1975)). For example, supposeSU nis broken toSU 3 at a symmetry breaking mass scaleM. If μ≪M, loops involvingSU ngauge bosons not contained in theSU 3-gauge multiplet do not contribute to the runningSU 3 coupling constant (i.e., are decoupled fromSU 3) for precisely the reasons stated in the text. A difference between such conventional applications of the decoupling theorem (in which external particles belong to multiplets of a preserved subgroup) and the application with external LQB-bosons, is that the evolution of the running LQB mass [μ(m x)] must also be considered to solve the renormalization group equation.

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  9. The relationship between concepts of confiniment and infra-red slavery is discussed in sect.3 ofW. Marciano andH. Pagels:Phys. Rep.,36 C, 139 (1977).

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  1. International Centre for Theoretical Physics, Trieste, Italy

    V. Elias

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  1. V. Elias
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Elias, V. Are leptoquark bosons confined?. Lett. Nuovo Cimento 24, 351–354 (1979). https://doi.org/10.1007/BF02724856

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