Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2008-06-05
Mod.Phys.Lett.A24:335-348,2009
Physics
High Energy Physics
High Energy Physics - Phenomenology
17 pages, 6 figures, Latex
Scientific paper
10.1142/S021773230903000X
The gauge invariance of the muonium-antimuonium ($M\bar{M}$) oscillation time scale is explicitly demonstrated in the Standard Model modified only by the inclusion of singlet right-handed neutrinos and allowing for general renormalizable interactions. The see-saw mechanism is exploited resulting in three light Majorana neutrinos and three heavy Majorana neutrinos with mass scale $M_R\gg M_W$. The leading order matrix element contribution to the $M\bar{M}$ oscillation process is computed in $R_\xi$ gauge and shown to be $\xi$ independent thereby establishing the gauge invariance to this order. Present experimental limits resulting from the non-observation of the oscillation process sets a lower limit on $M_R$ roughly of order 600 GeV.
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