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The most general $SU(2)\times U(1)_Y$-symmetric quartic potential with two Higgs doublets, subject to an only softly broken discrete symmetry $(\phi_1,\phi_2)\to(-\phi_1,\phi_2)$, is considered. At tree-level, analytic bounds on the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Boris Kastening

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…

High Energy Physics - Phenomenology · Physics 2010-05-28 Gino Isidori , Giovanni Ridolfi , Alessandro Strumia

In this paper, we present the novel analytical expressions for the bounded-from-below or the vacuum stability conditions of scalar potential for a general CP violating two-Higgs-doublet model by using the concepts of co-positivity and the…

High Energy Physics - Phenomenology · Physics 2025-06-23 Yisheng Song

Estimates of the Higgs and top quark masses, $m_{H} \simeq 125.10 \pm 0.14$ [GeV] and $m_{t} \simeq 172.76 \pm 0.30$ [GeV] based on the experimental results place the Standard Model in the region of the metastable vacuum. A consequence of…

General Relativity and Quantum Cosmology · Physics 2023-02-06 K. Urbanowski

We perform a detailed analysis of the Two-Higgs Doublet Model (2HDM) potential. At the tree-level, the potential may accommodate more than one minima, one of them being the electroweak (EW) minimum where the universe lives. The parameter…

High Energy Physics - Phenomenology · Physics 2015-12-08 Indrani Chakraborty , Anirban Kundu

In the standard model, the requirements of vacuum stability and the validity of perturbation theory up to the unification scale force the mass of the Higgs boson to be approximately between 130 GeV and 180 GeV. We re-examine these…

High Energy Physics - Phenomenology · Physics 2009-10-31 Shuquan Nie , Marc Sher

It is widely believed that the top loop corrections to the Higgs effective potential destabilise the electroweak (EW) vacuum and that, imposing stability, lower bounds on the Higgs mass can be derived. With the help of a scalar-Yukawa…

High Energy Physics - Theory · Physics 2011-07-19 Vincenzo Branchina , Hugo Faivre

We revisit the stability of the Standard Model vacuum, and investigate its quantum effective potential using the highest available orders in perturbation theory and the most accurate determination of input parameters to date. We observe…

High Energy Physics - Phenomenology · Physics 2026-03-06 Gudrun Hiller , Tim Höhne , Daniel F. Litim , Tom Steudtner

In the standard model, a lower bound to the Higgs mass (for a given top quark mass) exists if one requires that the standard model vacuum be stable. This bound is calculated as precisely as possible, including the most recent values of the…

High Energy Physics - Phenomenology · Physics 2009-10-22 Marc Sher

The Higgs sector of the Next-to-Minimal Two-Higgs-Doublet Model (N2HDM) is obtained from the Two-Higgs-Doublet Model (2HDM) containing two complex Higgs doublets, by adding a real singlet field. In this paper, we analyse the vacuum…

High Energy Physics - Phenomenology · Physics 2019-10-02 P. M. Ferreira , Margarete Mühlleitner , Rui Santos , Georg Weiglein , Jonas Wittbrodt

Although the Higgs potential in the Standard Model (SM) contains only a simple electroweak symmetry breaking vacuum in the small field region, additional metastable or global vacua could exist in models beyond the SM. In this paper, we…

High Energy Physics - Phenomenology · Physics 2021-10-01 Yang Bai , Seung J. Lee , Minho Son , Fang Ye

We analyse effective potential around the electroweak (EW) scale in the Standard Model extended with a heavy scalar doublet. We show that the additional scalars can have a strong impact on vacuum stability. Although the additional heavy…

High Energy Physics - Phenomenology · Physics 2015-07-29 Bogumila Swiezewska

We study the theoretical and phenomenological constraints imposed on the scalar sector of the gauged two Higgs doublet model proposed recently as a variant of the popular inert Higgs doublet model of dark matter. The requirements of…

High Energy Physics - Phenomenology · Physics 2018-11-19 Abdesslam Arhrib , Wei-Chih Huang , Raymundo Ramos , Yue-Lin Sming Tsai , Tzu-Chiang Yuan

Recent measurements at the LHC suggest that the current Higgs vacuum could be metastable with a modest barrier (height 10^{10-12}{GeV})^{4}) separating it from a ground state with negative vacuum density of order the Planck scale. We note…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Itzhak Bars , Paul J. Steinhardt , Neil Turok

The so-called metastability bound asserts that an unnaturally small Higgs mass is a necessary condition for electroweak vacuum metastability, offering a new approach towards solving the hierarchy problem. So far, this result relies on the…

High Energy Physics - Phenomenology · Physics 2024-08-21 Sean Benevedes , Thomas Steingasser , Sokratis Trifinopoulos

The current experimentally measured parameters of the Standard Model (SM) suggest that our Universe lies in a metastable electroweak vacuum, where the Higgs field is prone to vacuum decay to a lower state with catastrophic consequences. Our…

Cosmology and Nongalactic Astrophysics · Physics 2022-01-13 Andreas Mantziris

The so-called metastability bound on the Higgs mass suggests that the smallness of the Higgs mass may be a byproduct of the metastability of the electroweak vacuum. A significantly strong bound requires new physics capable of lowering the…

High Energy Physics - Phenomenology · Physics 2025-03-07 Victor Enguita , Belen Gavela , Thomas Steingasser

We investigate the standard model (SM) with the extension of a charged scalar having fractional electromagnetic charge of $-1/3$ unit and with lepton and baryon number violating couplings at tree level. Without directly taking part in the…

High Energy Physics - Phenomenology · Physics 2017-02-10 Priyotosh Bandyopadhyay , Rusa Mandal

The possibility that the Standard Model (SM) is valid up to the Planck scale $M_P$, i.e. that new physics occurs only around $M_P$, is nowadays largely explored. For a metastable EW vacuum, we show that new physics interactions can have a…

High Energy Physics - Phenomenology · Physics 2014-06-02 Vincenzo Branchina

The Higgs sector of models beyond the standard model requires special attention and study, since through them, a natural explanation can be offered to current questions such as the big differences in the values of the masses of the quarks…

High Energy Physics - Phenomenology · Physics 2012-01-19 S. R. Juarez W. , D. Morales C. , P. Kielanowski