1994
DOI: 10.1016/0550-3213(94)90296-8
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Reduction of couplings and heavy top quark in the minimal SUSY GUT

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Cited by 89 publications
(171 citation statements)
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“…This motivates us to assume that the relation for M also remains unchanged, which is true only if the contribution to the gauge kinetic function f coming from the massive states [45] are absent. It is known [45] (see also [27]) that such situation appears for the class of orbifold models in which the massive states are organized into N = 4 supermultiplets 5 and we obtain One can easily convince oneself that if the condition (23) is satisfied, the 5 The absence of the threshold effects coming from N = 4 massive supermultiplets has been first observed in an N = 4 Yang-Mills theory with spontaneously broken gauge symmetry [46].…”
Section: Coincidencementioning
confidence: 99%
“…This motivates us to assume that the relation for M also remains unchanged, which is true only if the contribution to the gauge kinetic function f coming from the massive states [45] are absent. It is known [45] (see also [27]) that such situation appears for the class of orbifold models in which the massive states are organized into N = 4 supermultiplets 5 and we obtain One can easily convince oneself that if the condition (23) is satisfied, the 5 The absence of the threshold effects coming from N = 4 massive supermultiplets has been first observed in an N = 4 Yang-Mills theory with spontaneously broken gauge symmetry [46].…”
Section: Coincidencementioning
confidence: 99%
“…Application of this procedure to dimensionless couplings of supersymmetric GUTs has led to the correct prediction of top quark mass in the finite and in the minimal N = 1 supersymmetric SU(5) GUTs [2,3]. The most impressive aspect of the RGI relations is that they are valid to all orders of perturbation theory, a fact that can be realized by exploring the uniqueness of these relations at 1-loop level [1].…”
Section: Introductionmentioning
confidence: 99%
“…The basic requirement is that the original as well as the reduced theory have to satisfy the corresponding renormalization group equations. The last years great progress has been made applying this method and looking for RGI relations [2,3,4,5,6,7,8,9] holding below the Planck scale up to GUT or lower scales.…”
Section: Introductionmentioning
confidence: 99%
“…The one-and two-loop finiteness conditions (5) restrict considerably the possible choices of the irreducible representations R i for a given group G as well as the Yukawa couplings in the superpotential (1). Note in particular that the finiteness conditions cannot be applied to the supersymmetric standard model (SSM), since the presence of a U(1) gauge group is incompatible with the condition (5), due to C 2 [U(1)] = 0.…”
Section: Reduction Of Couplings and Finiteness In N = 1 Susy Gauge Thmentioning
confidence: 99%
“…The method to construct GUTs with reduced independent parameters [1,2] consists of searching for renormalization group invariant (RGI) relations holding below the Planck scale, which in turn are preserved down to the GUT scale. Of particular interest is the possibility to find RGI relations among couplings that guarantee finitenes to all-orders in perturbation theory [3,4].…”
Section: Introductionmentioning
confidence: 99%