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THE LIMITS OF CUSTODIAL SYMMETRY

Abstract

We introduce a toy model implementing the proposal of using a custodial symmetry to protect the ZbL bL coupling from large corrections. This "doublet-extended standard model" adds a weak doublet of fermions (including a heavy partner of the top quark) to the particle content of the standard model in order to implement an O(4) × U(1) X ∼ SU(2)L × SU(2)R × P LR × U(1)X symmetry in the top-quark mass generating sector. This symmetry is softly broken to the gauged SU(2)L × U(1)Y electroweak symmetry by a Dirac mass M for the new doublet; adjusting the value of M allows us to explore the range of possibilities between the O(4)-symmetric (M → 0) and standard-model-like (M → ∞) limits. © 2010 World Scientific Publishing Company.

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