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Using a physical renormalisation scheme we derive mass-dependent renormalisation group equations for the running of the Higgs quartic coupling within the Standard Model. Subsequently, we accurately take into account weak scale thresholds,…

High Energy Physics - Phenomenology · Physics 2014-07-25 Alexander Spencer-Smith

In the present paper, we discuss gravitational relaxation models for the electroweak hierarchy problem. We show that modified gravity can naturally relax the electroweak hierarchy problem where conformal transformation provides a crucial…

High Energy Physics - Phenomenology · Physics 2022-07-07 Hiroki Matsui , Yoshio Matsumoto

The stability properties of the Einstein Static solution of General Relativity are altered when corrective terms arising from modification of the underlying gravitational theory appear in the cosmological equations. In this paper the…

General Relativity and Quantum Cosmology · Physics 2014-11-21 Rosangela Canonico , Luca Parisi

We perform a manifestly gauge-independent analysis of the vacuum stability in the Standard Model (SM) including two-loop matching, three-loop renormalization group evolution, and pure QCD corrections through four loops. All these…

High Energy Physics - Phenomenology · Physics 2015-11-18 A. V. Bednyakov , B. A. Kniehl , A. F. Pikelner , O. L. Veretin

After reviewing the calculation of the Standard Model one-loop effective potential in a class of linear gauges, we discuss the physical observables entering the vacuum stability analysis. While the electroweak-vacuum-stability bound on the…

High Energy Physics - Phenomenology · Physics 2015-06-19 Luca Di Luzio , Luminita Mihaila

According to the current experimental data, the Higgs vacuum appears to be metastable due to the development of a second lower ground state in its potential. Consequently, vacuum decay would induce the nucleation of true vacuum bubbles with…

Cosmology and Nongalactic Astrophysics · Physics 2022-11-23 Andreas Mantziris

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…

High Energy Physics - Phenomenology · Physics 2015-06-04 Oleg Lebedev

Stability of the Higgs vacuum during early universe inflation is dependent on how the Higgs couples to the spacetime curvature. Limits on the curvature coupling parameter at the electroweak scale $\xi_{EW}$ are shown to be consistent only…

High Energy Physics - Theory · Physics 2015-09-14 Ian G. Moss

I am considering Veltman's "The Infrared - Ultraviolet Connection" addressing the issue of quadratic divergences and the related huge radiative correction predicted by the electroweak Standard Model (SM) in the relationship between the bare…

High Energy Physics - Phenomenology · Physics 2021-07-07 Fred Jegerlehner

New physics at the TeV scale or lower may destabilise the electroweak vacuum. How low could the vacuum instability scale be? This fundamental question may be tied to a deeper understanding of the Higgs potential and its associated hierarchy…

High Energy Physics - Phenomenology · Physics 2025-04-01 Maximilian Detering , Victor Enguita , Belen Gavela , Thomas Steingasser , Tevong You

The measurements of the Higgs boson and top quark masses can be used to extrapolate the Standard Model Higgs potential at energies up to the Planck scale. Adopting a NNLO renormalization procedure, we: i) find that electroweak vacuum…

High Energy Physics - Phenomenology · Physics 2013-05-31 Isabella Masina

We refine and update the metastability constraint on the Standard Model top and Higgs masses, by analytically including gravitational corrections to the vacuum decay rate. Present best-fit ranges of the top and Higgs masses mostly lie in…

High Energy Physics - Phenomenology · Physics 2008-11-26 Gino Isidori , Vyacheslav S. Rychkov , Alessandro Strumia , Nikolaos Tetradis

Combining the quantum scale invariance with the absence of new degrees of freedom above the electroweak scale leads to stability of the latter against perturbative quantum corrections. Nevertheless, the hierarchy between the weak and the…

High Energy Physics - Theory · Physics 2018-10-08 Mikhail Shaposhnikov , Andrey Shkerin

In a recently proposed Higgs-Seesaw model the observed scale of dark energy results from a metastable false vacuum energy associated with mixing of the standard model Higgs particle and a scalar associated with new physics at the GUT or…

High Energy Physics - Phenomenology · Physics 2014-04-23 Lawrence M. Krauss , Andrew J. Long

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 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

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

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

It is known that the present electroweak vacuum is likely to be metastable and it may lead to a serious instability during/after inflation. We propose a simple solution to the problem of vacuum instability during/after inflation. If there…

High Energy Physics - Phenomenology · Physics 2016-09-07 Yohei Ema , Kyohei Mukaida , Kazunori Nakayama

The measurements of the Higgs mass and top Yukawa coupling indicate that we live in a very special Universe, at the edge of the absolute stability of the electroweak vacuum. If fully stable, the Standard Model (SM) can be extended all the…

High Energy Physics - Phenomenology · Physics 2015-10-27 Fedor Bezrukov , Javier Rubio , Mikhail Shaposhnikov