Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1998-08-07
Phys.Rev. D59 (1999) 115009
Physics
High Energy Physics
High Energy Physics - Phenomenology
32 pages, 5 figures, an appendix added, a reference added
Scientific paper
10.1103/PhysRevD.59.115009
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 ($RRRR$ operator). It is shown that this diagram gives a dominant contribution for $p\to K^+\bar{\nu}_\tau$ over that from $LLLL$ operator, and decay rate of this mode can be comparable with that of $p\to K^+\bar{\nu}_\mu$ which is dominated by the $LLLL$ contribution. It is found that we cannot reduce both the decay rate of $p\to K^+\bar{\nu}_\tau$ and that of $p\to K^+\bar{\nu}_\mu$ 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 $m_{\tilde{f}}$ from Super-Kamiokande limit become considerably stronger due to the Higgsino dressing diagram of the $RRRR$ operator: $M_C > 6.5 \times 10^{16}\gev$ for $m_{\tilde{f}} < 1 \tev$, and $m_{\tilde{f}} > 2.5 \tev$ for $M_C < 2.5 \times 10^{16} \gev$.
Goto Toru
Nihei Takeshi
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