Built on

A. Spencer-Smith, “Higgs Vacuum Stability in a Mass-Dependent Renormalisation Scheme,” arXiv:1405.1975 [hep-ph]
Original
1975
Earlier work this paper cites.
M. J. G. Veltman, “The Infrared - Ultraviolet Connection,” Acta Phys. Polon. B 12
1981
Earlier work this paper cites.
M. E. Machacek and M. T. Vaughn, “Two Loop Renormalization Group Equations in a General Quantum Field Theory. 1. Wave Function Renormalization,” Nucl. Phys. B 222
1983
Earlier work this paper cites.
M. E. Machacek and M. T. Vaughn, “Two Loop Renormalization Group Equations in a General Quantum Field Theory. 2. Yukawa Couplings,” Nucl. Phys. B 236
1984
Earlier work this paper cites.
M. E. Machacek and M. T. Vaughn, “Two Loop Renormalization Group Equations in a General Quantum Field Theory. 3. Scalar Quartic Couplings,” Nucl. Phys. B 249
1985
Earlier work this paper cites.
C. D. Froggatt and H. B. Nielsen, “Standard model criticality prediction: Top mass 173 +- 5-GeV and Higgs mass 135 +- 9-GeV,” Phys. Lett. B 368
1996
Earlier work this paper cites.
C. D. Froggatt, H. B. Nielsen and Y. Takanishi, “Standard model Higgs boson mass from borderline metastability of the vacuum,” Phys. Rev. D 64
2001
Earlier work this paper cites.
M. x. Luo, H. w. Wang and Y. Xiao, “Two loop renormalization group equations in general gauge field theories,” Phys. Rev. D 67
2003
Earlier work this paper cites.
M. Cirelli, N. Fornengo and A. Strumia, “Minimal dark matter,” Nucl. Phys. B 753
2006
Earlier work this paper cites.
K. A. Meissner and H. Nicolai, “Conformal Symmetry and the Standard Model,” Phys. Lett. B 648
2007
Earlier work this paper cites.
J. Hisano, S. Matsumoto, M. Nagai, O. Saito and M. Senami, “Non-perturbative effect on thermal relic abundance of dark matter,” Phys. Lett. B 646
2007
Earlier work this paper cites.
M. Cirelli, A. Strumia and M. Tamburini, “Cosmology and Astrophysics of Minimal Dark Matter,” Nucl. Phys. B 787
Original
2007
Earlier work this paper cites.
R. Foot, A. Kobakhidze, K. L. McDonald and R. R. Volkas, “A Solution to the hierarchy problem from an almost decoupled hidden sector within a classically scale invariant theory,” Phys. Rev. D 77
Original
2008
Earlier work this paper cites.
K. A. Meissner and H. Nicolai, “Effective action, conformal anomaly and the issue of quadratic divergences,” Phys. Lett. B 660
Original
2008
Earlier work this paper cites.
F. L. Bezrukov and M. Shaposhnikov, “The Standard Model Higgs boson as the inflaton,” Phys. Lett. B 659
Original
2008
Earlier work this paper cites.
S. Iso, N. Okada and Y. Orikasa, “Classically conformal B − B^{-} L extended Standard Model,” Phys. Lett. B 676
Original
2009
Earlier work this paper cites.
S. Iso, N. Okada and Y. Orikasa, “The minimal B-L model naturally realized at TeV scale,” Phys. Rev. D 80
Original
2009
Earlier work this paper cites.
M. Shaposhnikov and C. Wetterich, “Asymptotic safety of gravity and the Higgs boson mass,” Phys. Lett. B 683
Original
2010
Earlier work this paper cites.
G. Aad et al
Original
2012
Earlier work this paper cites.

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2015

Vanishing Higgs Potential in Minimal Dark Matter Models

Hamada, Yuta, Kawana, Kiyoharu

Understand

We consider the Standard Model with a new particle which is charged under $SU(2)_{L}$ with the hypercharge being zero.

Such a particle is known as one of the dark matter (DM) candidates.
We examine the realization of the multiple point criticality principle (MPP) in this class of models.
Namely, we investigate whether the one-loop effective Higgs potential $V_{\text{eff}}(\phi)$ and its derivative $dV_{\text{eff}}(\phi)/d\phi$ can become simultaneously zero at around the string/Planck scale, based on the one/two-loop renormalization group equations.

Built on

A. Spencer-Smith, “Higgs Vacuum Stability in a Mass-Dependent Renormalisation Scheme,” arXiv:1405.1975 [hep-ph]
Original
1975
Earlier work this paper cites.
M. J. G. Veltman, “The Infrared - Ultraviolet Connection,” Acta Phys. Polon. B 12
1981
Earlier work this paper cites.
M. E. Machacek and M. T. Vaughn, “Two Loop Renormalization Group Equations in a General Quantum Field Theory. 1. Wave Function Renormalization,” Nucl. Phys. B 222
1983
Earlier work this paper cites.
M. E. Machacek and M. T. Vaughn, “Two Loop Renormalization Group Equations in a General Quantum Field Theory. 2. Yukawa Couplings,” Nucl. Phys. B 236
1984
Earlier work this paper cites.
M. E. Machacek and M. T. Vaughn, “Two Loop Renormalization Group Equations in a General Quantum Field Theory. 3. Scalar Quartic Couplings,” Nucl. Phys. B 249
1985
Earlier work this paper cites.
C. D. Froggatt and H. B. Nielsen, “Standard model criticality prediction: Top mass 173 +- 5-GeV and Higgs mass 135 +- 9-GeV,” Phys. Lett. B 368
1996
Earlier work this paper cites.
C. D. Froggatt, H. B. Nielsen and Y. Takanishi, “Standard model Higgs boson mass from borderline metastability of the vacuum,” Phys. Rev. D 64
2001
Earlier work this paper cites.
M. x. Luo, H. w. Wang and Y. Xiao, “Two loop renormalization group equations in general gauge field theories,” Phys. Rev. D 67
2003
Earlier work this paper cites.
M. Cirelli, N. Fornengo and A. Strumia, “Minimal dark matter,” Nucl. Phys. B 753
2006
Earlier work this paper cites.
K. A. Meissner and H. Nicolai, “Conformal Symmetry and the Standard Model,” Phys. Lett. B 648
2007
Earlier work this paper cites.
J. Hisano, S. Matsumoto, M. Nagai, O. Saito and M. Senami, “Non-perturbative effect on thermal relic abundance of dark matter,” Phys. Lett. B 646
2007
Earlier work this paper cites.
M. Cirelli, A. Strumia and M. Tamburini, “Cosmology and Astrophysics of Minimal Dark Matter,” Nucl. Phys. B 787
Original
2007
Earlier work this paper cites.
R. Foot, A. Kobakhidze, K. L. McDonald and R. R. Volkas, “A Solution to the hierarchy problem from an almost decoupled hidden sector within a classically scale invariant theory,” Phys. Rev. D 77
Original
2008
Earlier work this paper cites.
K. A. Meissner and H. Nicolai, “Effective action, conformal anomaly and the issue of quadratic divergences,” Phys. Lett. B 660
Original
2008
Earlier work this paper cites.
F. L. Bezrukov and M. Shaposhnikov, “The Standard Model Higgs boson as the inflaton,” Phys. Lett. B 659
Original
2008
Earlier work this paper cites.
S. Iso, N. Okada and Y. Orikasa, “Classically conformal B − B^{-} L extended Standard Model,” Phys. Lett. B 676
Original
2009
Earlier work this paper cites.
S. Iso, N. Okada and Y. Orikasa, “The minimal B-L model naturally realized at TeV scale,” Phys. Rev. D 80
Original
2009
Earlier work this paper cites.
M. Shaposhnikov and C. Wetterich, “Asymptotic safety of gravity and the Higgs boson mass,” Phys. Lett. B 683
Original
2010
Earlier work this paper cites.
G. Aad et al
Original
2012
Earlier work this paper cites.