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14
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84931558630
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edited by, K. Kang, H. Fried, P. Frampton, World Scientific, Singapore
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(1984)
Proceedings of the Fifth Workshop on Grand Unification, Brown University, 1984
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Arnowitt, R.1
Chamseddine, A.H.2
Nath, P.3
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26
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84931558678
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P. Nath, R. Arnowitt, and A. H. Chamseddine, Applied N=1 Supergravity (ICTP Lecture Series in Theoretical Physics, Vol. 1) (World Scientific, Singapore, 1984); P. Nath, R. Arnowitt, and A. H. Chamseddine, in Proceedings of the Winter School on Supersymmetry, Supergravity/Non-perturbative QCD, edited by P. Roy and V. Singh (Springer, Berlin, 1984), pp. 113–185; J. Ellis, Proceedings of the 1983 International Symposium on Lepton and Photon Interactions at High Energies, edited by D. G. Cassel and D. L. Kreinick (Newman Laboratory of Nuclear Studies, Cornell University, Ithaca, 1984).
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28
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84931526865
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The diagonalization is affected by using identical transformations on quarks and scalar quarks. This procedure is valid at the GUT scale with unbroken supersymmetry. At low energy with broken supersymmetry one has corrections to these transformations which are different for quarks and scalar quarks. A recent analysis [, ] has considered arbitrary quark and scalar-quark transformations leading to additional contributions to the nucleon decay from the mismatch. However, the corrections to the quark and scalar-quark transformations at low energy determined through the renormalization group appear to be quite small (only a few percent) for the models considered here.
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(1984)
S. Chadha, G. D. Coughlan, M. Daniel, and G. G. Ross, Phys. Lett.
, vol.149 B
, pp. 477
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32
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84931558679
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The discussion given below, however, will not depend significantly on λ prime and λ prime prime.
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33
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84931558680
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Chamseddine, Arnowitt, and Nath (Ref. 9);
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39
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84931558681
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A detailed discussion of the mass-diagonal Higgs-fermion/gaugino states and their couplings to matter is given in Ref. 10.
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40
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84931558682
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R. Arnowitt, A. H. Chamseddine, and P. Nath, in Problems in Unification and Supergravity, proceedings of the La Jolla Institute Workshop, edited by Glennys Farrar and Frank Henyey (AIP, New York, 1984); Alvarez-Gaume, Polchinski, and Wise (Ref. 9).
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41
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Our complex chiral-multiplet scalars are normalized according to Z = A + i B where the A and B fields are canonically normalized Hermitian fields.
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44
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84931558685
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We have omitted in Eq. (4.1) loop corrections to scalar-quark masses due to gaugino couplings. [See, e.g., Kounnas et al., (Ref. 17);
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47
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84931558684
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Note, however, if mtapprox 40 GeV, then ε3d is comparable to ε3u for models with small αH.
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48
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84931558687
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See, e.g., W. Lucha, Report No. UWThPh-1984-26 (unpublished).
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49
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84931558686
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Proton-decay experiments, of course, cannot distinguish the different neutrinos.
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51
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84931558668
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We use here a B-meson lifetime of 1.0 ps, R = 0.05 and BK= 1.5, which yields KM parameters s1= 0.231, s2apeq2 0.104, s3apeq2 0.0426, δ apeq2 170 ° for the ``upper'' solution. Lowering R does not significantly change the results.
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53
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84931558669
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We include in our calculations a suppression of L5R relative to L5L of apeq2 0.53 due to short-range renormalization-group corrections from the GUT mass to MW as discussed in Ellis et al., Ref. 2.
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54
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For a recent summary of the current experimental bounds on nucleon decay see talks by M. Koshiba (Kamiokande), J. LoSecco (Irvine-Michigan-Brookhaven), E. Fiorini [nucleon-stability experiment (NUSEX)], V. S. Narasimham (Kolar Gold Fields), D. Cline (Harvard-Pennsylvania-Wisconsin), and S. Julien (Frejus), in Proceedings of the XXII International Conference on High Energy Physics, Leipzig, 1984, edited by A. Meyer and E. Wieczorek (Academie der Wissenschaften der DDR, Zeuthen, DDR, 1984).
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