Massive Neutrinos and the Higgs Mass Window

TL;DR

This paper explores how the see-saw mechanism for neutrino masses can significantly alter the Standard Model's Higgs mass window, imposing upper bounds on the Majorana mass of right-handed neutrinos based on stability and perturbativity constraints.

Contribution

It demonstrates that neutrino mass generation via the see-saw mechanism can close the Higgs mass window, providing new upper bounds on the Majorana neutrino mass scale.

Findings

Higgs mass window can close due to neutrino effects

Upper bound on Majorana mass varies with neutrino mass and generations

Landau pole considerations offer weaker bounds

Abstract

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.