English

$d=5$ operators in SUSY GUT: fermion masses versus proton decay

High Energy Physics - Phenomenology 2007-05-23 v2

Abstract

In the minimal SU(5) SUSY GUT d=5d =5 operators lead to pK+νp\to K^+ \nu decay with the proton life time of the order of 102810^{28} years for the natural choice of the parameters of the theory. This value is in strong contradiction with experimental bound τpKν>1032\tau_{p\to K\nu} > 10^{32} years. d=5d=5 operators are induced by colored Higgsino exchanges and are closely (through SU(5) and super symmetry) related to another wrong prediction of SU(5) SUSY GUT: md/ms=me/mμm_d /m_s = m_e /m_{\mu}. We demonstrate how in the model where reasonable pattern of quark and lepton masses and CKM mixing angles are obtained proton decay can be suppressed and proton life time can be close to the present experimental bound.

Keywords

Cite

@article{arxiv.hep-ph/9809301,
  title  = {$d=5$ operators in SUSY GUT: fermion masses versus proton decay},
  author = {Z. Berezhiani and Z. Tavartkiladze and M. Vysotsky},
  journal= {arXiv preprint arXiv:hep-ph/9809301},
  year   = {2007}
}

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