Effect of an RRRR dimension 5 operator on the proton decay in the minimal SU(5) SUGRA GUT model

Toru Goto; Takeshi Nihei

doi:10.1103/PhysRevD.59.115009

paper

Effect of an RRRR dimension 5 operator on the proton decay in the minimal SU(5) SUGRA GUT model

arXiv:hep-ph/9808255 · doi:10.1103/PhysRevD.59.115009

Abstract

We reanalyze the proton decay in the minimal SU(5) SUGRA GUT model. Unlike previous analyses, we take into account a Higgsino dressing diagram of dimension 5 operator with right-handed matter fields ( $R R R R$ operator). It is shown that this diagram gives a dominant contribution for $p \to K^{+} ν ˉ_{τ}$ over that from $LLLL$ operator, and decay rate of this mode can be comparable with that of $p \to K^{+} ν ˉ_{μ}$ which is dominated by the $LLLL$ contribution. It is found that we cannot reduce both the decay rate of $p \to K^{+} ν ˉ_{τ}$ and that of $p \to K^{+} ν ˉ_{μ}$ simultaneously by adjusting relative phases between Yukawa couplings at colored Higgs interactions. Constraints on the colored Higgs mass $M_{C}$ and a typical squark and slepton mass $m_{f ~}$ from Super-Kamiokande limit become considerably stronger due to the Higgsino dressing diagram of the $R R R R$ operator: $M_C > 6.5 \times 10^{16}\gev$ for $m_{\tilde{f}} < 1 \tev$, and $m_{\tilde{f}} > 2.5 \tev$ for $M_C < 2.5 \times 10^{16} \gev$.

32 pages, 5 figures, an appendix added, a reference added

Effect of an RRRR dimension 5 operator on the proton decay in the minimal SU(5) SUGRA GUT model

Abstract

Cited by in corpus (161)