Super B production, matter stability and gauge hierarchy in SUSY GUTs

Mathematics – Logic

Scientific paper

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Scientific paper

We analyze the connections between the problems of the cosmological baryon asymmetry ( CBA), matter stability and mass hierarchy in supersymmetric Grand Unified models. We show that the typical delay of the phase transition in supersymmetric theories as well as a natural solution to the triplet-doublet Higgs hierarchy problem imply baryon production after the Grand Unification phase transition which in a wide class of SUSY GUTs takes place at T˜109 1010 GeV. Light Higgs colour triplets as a means of producing the CBA are discussed in detail. An alternative mechanism involving a singlet superfield is proposed leading to striking consequences in proton decay with the appearance of ( B+L) conserving modes with a muon and a kaon in the final state: n→μ- K +, p μ 2212;π+ K + and a lifetime of 1031 years.

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