Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2001-04-02
Nucl.Phys.B609:387-409,2001
Physics
High Energy Physics
High Energy Physics - Phenomenology
LaTex 23 pages, 4 eps figures. Misprint in the abstract corrected, reference added
Scientific paper
10.1016/S0550-3213(01)00302-9
If the Higgs mass m_H is as low as suggested by present experimental information, the Standard Model ground state might not be absolutely stable. We present a detailed analysis of the lower bounds on m_H imposed by the requirement that the electroweak vacuum be sufficiently long-lived. We perform a complete one-loop calculation of the tunnelling probability at zero temperature, and we improve it by means of two-loop renormalization-group equations. We find that, for m_H=115 GeV, the Higgs potential develops an instability below the Planck scale for m_t>(166\pm 2) GeV, but the electroweak vacuum is sufficiently long-lived for m_t < (175\pm 2) \GeV.
Isidori Gino
Ridolfi Giovanni
Strumia Alessandro
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