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Finiteness in SU(3) 3 models
Author(s) -
Heinemeyer S.,
Ma E.,
Mondragon M.,
Zoupanos G.
Publication year - 2010
Publication title -
fortschritte der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.201000048
Subject(s) - physics , gauge group , loop (graph theory) , particle physics , gauge theory , gauge (firearms) , group (periodic table) , content (measure theory) , quark , mathematical physics , combinatorics , mathematics , quantum mechanics , mathematical analysis , archaeology , history
Abstract We consider N = 1 supersymmetric gauge theories based on the group SU ( N ) 1 × SU ( N ) 2 × … × SU ( N ) k with matter content ( N , N * , 1, …, 1) + (1, N , N * , …, 1) + … + ( N * , 1, 1, …, N), which are finite if and only if there are exactly three generations. We study in particular two models with SU (3) 3 as gauge group, an all‐loop and a two‐loop finite model, and we examine their predictions concerning the third generation quark masses.