The Weak Mixing Angle From TeV Scale Quark-Lepton Unification
Author(s) -
Zackaria Chacko,
Lawrence J. Hall,
Maxim Perelstein
Publication year - 2003
Publication title -
journal of high energy physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.998
H-Index - 261
eISSN - 1126-6708
pISSN - 1029-8479
DOI - 10.1088/1126-6708/2003/01/001
Subject(s) - physics , weinberg angle , compactification (mathematics) , particle physics , quark , mixing (physics) , grand unified theory , lepton , scale (ratio) , logarithm , supersymmetry , nuclear physics , mathematics , quantum mechanics , mathematical analysis , electron , pure mathematics
Unified theories based on an extended left-right symmetric group, $SU(4)\times SU(2)^4$, are constructed in five dimensions. The compactification scaleis assumed to be only a loop factor above the weak scale, so that the weakmixing angle is predicted to be close to its tree level value of 0.239.Boundary conditions in the 5th dimension break $SU(4) \to SU(3) \timesU(1)_{B-L}$, removing powerful constraints from $K_L \to \mu e$ while allowinga reliable calculation of the leading logarithm corrections to $\sin^2 \theta$.The compactification scale is expected in the 1--5 TeV region, depending on how$SU(2)^4$ is broken. Two illustrative models are presented, and theexperimental signal of the $Z'$ gauge boson is discussed.Comment: 15 page
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