Abstract
In the Standard Model (SM), the Higgs mass around 125 GeV implies that the electroweak vacuum is metastable since the quartic Higgs coupling turns negative at high energies. I point out that a tiny mixing of the Higgs with a heavy singlet can make the electroweak vacuum completely stable. This is due to a tree level correction to the Higgs mass-coupling relation, which survives in the zero-mixing/heavy-singlet limit. Such a situation is experimentally indistinguishable from the SM, unless the Higgs self-coupling can be measured. As a result, Higgs inflation and its variants can still be viable.
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V. Silveira, A. Zee, Phys. Lett. B 161, 136 (1985)
R. Foot, H. Lew, R.R. Volkas, Phys. Lett. B 272, 67 (1991)
S. Kanemura, S. Matsumoto, T. Nabeshima, N. Okada, Phys. Rev. D 82, 055026 (2010)
O. Lebedev, H.M. Lee, Y. Mambrini, Phys. Lett. B 707, 570 (2012)
F.L. Bezrukov, M. Shaposhnikov, Phys. Lett. B 659, 703 (2008)
R. Schabinger, J.D. Wells, Phys. Rev. D 72, 093007 (2005)
B. Patt, F. Wilczek, arXiv:hep-ph/0605188
J. McDonald, Phys. Rev. D 50, 3637–3649 (1994)
C.P. Burgess, M. Pospelov, T. ter Veldhuis, Nucl. Phys. B 619, 709–728 (2001)
V. Barger, P. Langacker, M. McCaskey, M.J. Ramsey-Musolf, G. Shaughnessy, Phys. Rev. D 77, 035005 (2008)
C. Englert, T. Plehn, D. Zerwas, P.M. Zerwas, Phys. Lett. B 703, 298 (2011)
C. Englert, T. Plehn, M. Rauch, D. Zerwas, P.M. Zerwas, Phys. Lett. B 707, 512 (2012)
J. Elias-Miro, J.R. Espinosa, G.F. Giudice, G. Isidori, A. Riotto, A. Strumia, arXiv:1112.3022 [hep-ph]
J.R. Espinosa, G.F. Giudice, A. Riotto, J. Cosmol. Astropart. Phys. 0805, 002 (2008)
ATLAS Collaboration, arXiv:1202.1408 [hep-ex]
S. Chatrchyan et al. (CMS Collaboration), arXiv:1202.1488 [hep-ex]
O. Lebedev, H.M. Lee, Eur. Phys. J. C 71, 1821 (2011)
M. Bowen, Y. Cui, J.D. Wells, J. High Energy Phys. 0703, 036 (2007)
I. Low, P. Schwaller, G. Shaughnessy, C.E.M. Wagner, Phys. Rev. D 85, 015009 (2012)
B. Batell, S. Gori, L.-T. Wang, arXiv:1112.5180 [hep-ph]
A. Djouadi, O. Lebedev, Y. Mambrini, J. Quevillon, arXiv:1112.3299 [hep-ph]
X.-G. He, B. Ren, J. Tandean, arXiv:1112.6364 [hep-ph]
J.F. Kamenik, C. Smith, arXiv:1201.4814 [hep-ph]
Y. Mambrini, Phys. Rev. D 84, 115017 (2011)
S. Andreas, T. Hambye, M.H.G. Tytgat, J. Cosmol. Astropart. Phys. 0810, 034 (2008)
G.J. Gounaris, D. Schildknecht, F.M. Renard, Phys. Lett. B 83, 191 (1979)
V.D. Barger, T. Han, R.J.N. Phillips, Phys. Rev. D 38, 2766 (1988)
A. Djouadi, W. Kilian, M. Muhlleitner, P.M. Zerwas, Eur. Phys. J. C 10, 27 (1999)
U. Baur, T. Plehn, D.L. Rainwater, Phys. Rev. D 69, 053004 (2004)
J. Elias-Miro, J.R. Espinosa, G.F. Giudice, H.M. Lee, A. Strumia, arXiv:1203.0237 [hep-ph]
R.N. Lerner, J. McDonald, Phys. Rev. D 80, 123507 (2009)
U. Langenfeld, S.O. Moch, P. Uwer, arXiv:1006.0097
M. Holthausen, K.S. Lim, M. Lindner, J. High Energy Phys. 1202, 037 (2012)
M. Gonderinger, Y. Li, H. Patel, M.J. Ramsey-Musolf, J. High Energy Phys. 1001, 053 (2010)
M. Kadastik, K. Kannike, A. Racioppi, M. Raidal, arXiv:1112.3647 [hep-ph]
C.S. Chen, Y. Tang, arXiv:1202.5717 [hep-ph]
F. Bezrukov, A. Magnin, M. Shaposhnikov, S. Sibiryakov, J. High Energy Phys. 1101, 016 (2011)
T.E. Clark, B. Liu, S.T. Love, T. ter Veldhuis, Phys. Rev. D 80, 075019 (2009)
F.L. Bezrukov, A. Magnin, M. Shaposhnikov, Phys. Lett. B 675, 88 (2009)
F. Bezrukov, M. Shaposhnikov, J. High Energy Phys. 0907, 089 (2009)
A. De Simone, M.P. Hertzberg, F. Wilczek, Phys. Lett. B 678, 1 (2009)
A.O. Barvinsky, A.Y. Kamenshchik, C. Kiefer, A.A. Starobinsky, C.F. Steinwachs, arXiv:0910.1041 [hep-ph]
C.P. Burgess, H.M. Lee, M. Trott, J. High Energy Phys. 0909, 103 (2009)
C.P. Burgess, H.M. Lee, M. Trott, J. High Energy Phys. 1007, 007 (2010)
J.L.F. Barbon, J.R. Espinosa, Phys. Rev. D 79, 081302 (2009)
R.N. Lerner, J. McDonald, Phys. Rev. D 82, 103525 (2010)
G.F. Giudice, H.M. Lee, Phys. Lett. B 694, 294 (2011)
M.P. Hertzberg, arXiv:1110.5650 [hep-ph]
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The author is grateful to H.M. Lee for useful comments.
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Lebedev, O. On stability of the electroweak vacuum and the Higgs portal. Eur. Phys. J. C 72, 2058 (2012). https://doi.org/10.1140/epjc/s10052-012-2058-2
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DOI: https://doi.org/10.1140/epjc/s10052-012-2058-2