On Higgs field vacuum stability:
John Ellis, J.R. Espinosa, Gian Giudice, A. Hoecker, A. Riotto, The Probable Fate of the Standard Model, Phys.Lett.B679:369-375,2009 (arXiv:0906.0954)
Giuseppe Degrassi, Stefano Di Vita, Joan Elias-Miró, José R. Espinosa, Gian Giudice, Gino Isidori, Higgs mass and vacuum stability in the Standard Model at NNLO, J. High Energ. Phys. (2012) 2012: 98 (arrXiv:1205.6497, doi:10.1007/JHEP(2012)098)
Dario Buttazzo, Giuseppe Degrassi, Pier Paolo Giardino, Gian Giudice, Filippo Sala, Alberto Salvio, Alessandro Strumia, section 7 of Investigating the near-criticality of the Higgs boson, JHEP12(2013)089 (arXiv:1307.3536)
J.R. Espinosa, Gian Giudice, A. Riotto, Cosmological implications of the Higgs mass measurement, JCAP 0805:002, 2008 (arXiv:0710.2484)
Jose R. Espinosa, Gian Giudice, Enrico Morgante, Antonio Riotto, Leonardo Senatore, Alessandro Strumia, Nikolaos Tetradis, The cosmological Higgstory of the vacuum instability (arXiv:1505.04825)
On split supersymmetry in view of Higgs field vacuum stability:
On naturalness:
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