Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2004-10-13
Phys.Lett.B625:88-95,2005
Physics
High Energy Physics
High Energy Physics - Phenomenology
13 pages, 2 figures. Few corrections, new references
Scientific paper
10.1016/j.physletb.2005.08.039
We investigate model independent upper bounds on total proton lifetime in the context of Grand Unified Theories with the Standard Model matter content. We find them to be $\tau_p \leq 1.5^{+0.5}_{-0.3} \times 10^{39} \ \frac{(M_X/10^{16} \textrm{GeV})^4}{\alpha_{GUT}^2} (0.003 \textrm{GeV}^3 / \alpha)^2 \textrm{years}$ and $\tau_p \leq 7.1^{+0.0}_{-0.0} \times 10^{36} \ \frac{(M_X/10^{16} \textrm{GeV})^4}{\alpha_{GUT}^2} (0.003 \textrm{GeV}^3 / \alpha)^2 \textrm{years}$ in the Majorana and Dirac neutrino case, respectively. These bounds, in conjunction with experimental limits, put lower limit on the mass $M_X$ of gauge bosons responsible for the proton and bound-neutron decay processes. For central values of relevant input parameters we obtain $M_X \geq 4.3 \times 10^{14} \sqrt{\alpha_{GUT}} \textrm{GeV}$. Our result implies that a large class of non-supersymmetric Grand Unified models, with typical values $\alpha_{GUT} \sim 1/39$, still satisfies experimental constraints on proton lifetime. Our result is independent on any CP violating phase and the only significant source of uncertainty is associated with imprecise knowledge of $\alpha$--the nucleon decay matrix element.
Dorsner Ilja
Perez Pavel Fileviez
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