Massive Neutrinos and the Higgs Mass Window

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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4 pages, revtex + psfig.sty, 5 figures

Scientific paper

10.1103/PhysRevD.62.053005

If neutrino masses are produced by a see-saw mechanism the Standard Model prediction for the Higgs mass window (defined by upper (perturbativity) and lower (stability) bounds) can be substantially affected. Actually the Higgs mass window can close completely, which settles an upper bound on the Majorana mass for the right-handed neutrinos, $M$, ranging from $10^{13}$ GeV for three generations of quasi-degenerate massive neutrinos with $m_\nu\simeq 2 $ eV, to $5\times 10^{14}$ GeV for just one relevant generation with $m_\nu\simeq 0.1 $ eV. A slightly weaker upper bound on $M$, coming from the requirement that the neutrino Yukawa couplings do not develop a Landau pole, is also discussed.

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