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The parameters of the Higgs potential of the Minimal Supersymmetric Standard Model (MSSM) receive large radiative corrections which lift the mass of the lightest Higgs boson to the measured value of 126 GeV. Depending on the MSSM…

High Energy Physics - Phenomenology · Physics 2015-09-23 Markus Bobrowski , Guillaume Chalons , Wolfgang G. Hollik , Ulrich Nierste

There are nowadays strong experimental constraints on supersymmetric theories from the Higgs measurements as well as from the null results in Sparticle searches. However, even the parameter spaces which are in agreement with experimental…

High Energy Physics - Phenomenology · Physics 2018-12-26 Florian Staub

We present a fast and efficient method for studying vacuum stability constraints in multi-scalar theories beyond the Standard Model. This method is designed for a reliable use in large scale parameter scans. The minimization of the scalar…

High Energy Physics - Phenomenology · Physics 2019-05-01 Wolfgang G. Hollik , Georg Weiglein , Jonas Wittbrodt

The scalar potential of theories with broken supersymmetry can have a number of local minima characterized by different gauge groups. Symmetry properties of the physical vacuum constrain the parameters of the MSSM. We discuss these…

High Energy Physics - Phenomenology · Physics 2009-10-28 Alexander Kusenko

A consistent theoretical description of physics at high energies requires an assessment of vacuum stability in either the Standard Model or any extension of it. Especially supersymmetric extensions allow for several vacua and the choice of…

High Energy Physics - Phenomenology · Physics 2016-08-26 Wolfgang Gregor Hollik

We derive analytic necessary and sufficient conditions for the vacuum stability of the left-right symmetric model by using the concepts of copositivity and gauge orbit spaces. We also derive the conditions sufficient for successful symmetry…

High Energy Physics - Phenomenology · Physics 2019-12-20 Garv Chauhan

A light-weight "inflatable" tensioned-membrane-structure vacuum container is proposed and its stability is analyzed. The proposed structure consists of a pressurized lobed cylindrical "wall" surrounding a central evacuated space. Stability…

Classical Physics · Physics 2009-10-21 Sean A. Barton

The existence of multiple non-equivalent minima of the scalar potential in SUSY models both raises technical challenges and introduces interesting physics. The technical challenges are now that one has to find several minima and evaluate…

High Energy Physics - Phenomenology · Physics 2014-11-05 J. E Camargo-Molina , B. O'Leary , W. Porod , F. Staub

We perform an analysis of the vacuum stability of the neutral scalar potential of the $\mu$-from-$\nu$ Supersymmetric Standard Model ($\mu\nu$SSM). As an example scenario, we discuss the alignment-without-decoupling limit of the…

High Energy Physics - Phenomenology · Physics 2022-04-14 Thomas Biekötter , Sven Heinemeyer , Georg Weiglein

In the Minimal Supersymmetric Standard Model (MSSM), a Higgs boson mass of 125 GeV can be obtained with moderately heavy scalar top superpartners provided they are highly mixed. The source of this mixing, a soft trilinear stop-stop-Higgs…

High Energy Physics - Phenomenology · Physics 2014-03-25 Nikita Blinov , David E. Morrissey

The stability of the Standard Model is determined by the true minimum of the effective Higgs potential. We show that the potential at its minimum when computed by the traditional method is strongly dependent on the gauge parameter. It…

High Energy Physics - Phenomenology · Physics 2014-12-17 Anders Andreassen , William Frost , Matthew D. Schwartz

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

To understand physics beyond the Standard Model (SM) it is important to have the precise knowledge of Higgs boson and top quark masses as well as strong coupling. Recently discovered new boson which is likely to be the SM Higgs with mass…

High Energy Physics - Phenomenology · Physics 2014-05-30 Joydeep Chakrabortty , Partha Konar , Tanmoy Mondal

The stability of the electroweak vacuum imposes important constraints on new physics models. Such new physics models may introduce one or more new thermal phases with a lower free energy than that of the electroweak vacuum. In this case,…

High Energy Physics - Phenomenology · Physics 2024-04-11 Csaba Balázs , Yang Xiao , Jin Min Yang , Yang Zhang

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

By applying copositivity criterion to the scalar potential of the economical $3-3-1$ model, we derive necessary and sufficient bounded-from-below conditions at tree level. Although these are a large number of intricate inequalities for the…

High Energy Physics - Phenomenology · Physics 2019-04-09 B. L. Sánchez-Vega , G. Gambini , C. E. Alvarez-Salazar

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 this technical note, we study the mean square stability-based analysis of stochastic continuous-time linear networked systems. The stochastic uncertainty is assumed to enter multiplicatively in system dynamics through input and output…

Optimization and Control · Mathematics 2018-02-09 Sai Pushpak , Amit Diwadkar , Umesh Vaidya

Classical conditions for ensuring the robust stability of a linear system in feedback with a sector-bounded nonlinearity include small gain, circle, passivity, and conicity theorems. In this work, we present a similar stability condition,…

Optimization and Control · Mathematics 2019-09-18 Saman Cyrus , Laurent Lessard

Recently, many regularized procedures have been proposed for variable selection in linear regression, but their performance depends on the tuning parameter selection. Here a criterion for the tuning parameter selection is proposed, which…

Methodology · Statistics 2013-01-31 Yixin Fang , Junhui Wang , Wei Sun
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