scholarly journals Two-loop renormalization group equations for soft supersymmetry-breaking couplings

1994 ◽  
Vol 50 (3) ◽  
pp. 2282-2292 ◽  
Author(s):  
Stephen P. Martin ◽  
Michael T. Vaughn
Keyword(s):  
Renormalization Group ◽  
Supersymmetry Breaking ◽  
Renormalization Group Equations ◽  
Soft Supersymmetry Breaking

ON THE CALCULATION OF THE LOW ENERGY SOFT SUPERSYMMETRY BREAKING TERMS

1993 ◽  
Vol 08 (27) ◽  
pp. 2579-2583 ◽  
Author(s):  
N.V. KRASNIKOV
Keyword(s):  
Renormalization Group ◽  
Supersymmetry Breaking ◽  
Low Energy ◽  
Planck Mass ◽  
Renormalization Group Equations ◽  
Soft Supersymmetry Breaking

We show that in supergravity theories with soft supersymmetry breaking it is necessary to take into account the terms in the Lagrangian which are suppressed by the inverse powers of the Planck mass in the calculation of the low energy soft supersymmetry breaking terms. Such terms are discarded in the standard calculations based on the use of the renormalization group equations.

scholarly journals Gravitational rescue of minimal gauge mediation

2016 ◽  
Vol 31 (10) ◽  
pp. 1650045 ◽  
Author(s):  
Abhishek M. Iyer ◽  
V. Suryanarayana Mummidi ◽  
Sudhir K. Vempati
Keyword(s):  
Supersymmetry Breaking ◽  
Higgs Mass ◽  
Vacuum Expectation ◽  
Gauge Mediation ◽  
Expectation Values ◽  
Hidden Sector ◽  
Mixing Parameter ◽  
Renormalization Group Equations ◽  
Soft Supersymmetry Breaking ◽  
Gravitational Contribution

Gravity mediated supersymmetry breaking becomes comparable to gauge mediated supersymmetry breaking contributions when messenger masses are close to the GUT scale. By suitably arranging the gravity contributions, one can modify the soft supersymmetry breaking sector to generate a large stop mixing parameter and a light Higgs mass of 125 GeV. In this kind of hybrid models, however, the nice features of gauge mediation like flavor conservation, etc. are lost. To preserve the nice features, gravitational contributions should become important for lighter messenger masses and should be important only for certain fields. This is possible when the hidden sector contains multiple (at least two) spurions with hierarchical vacuum expectation values. In this case, the gravitational contributions can be organized to be “just right.” We present a complete model with two spurion hidden sector where the gravitational contribution is from a warped flavor model in a Randall–Sundrum setting. Along the way, we present simple expressions to handle renormalization group equations when supersymmetry is broken by two different sectors at two different scales.

scholarly journals Renormalization group equations of Higgs-R2 inflation

2021 ◽  
Vol 2021 (2) ◽  
Author(s):  
Yohei Ema ◽  
Kyohei Mukaida ◽  
Jorinde van de Vis
Keyword(s):  
Renormalization Group ◽  
Standard Model ◽  
Planck Scale ◽  
Energy Scale ◽  
Einstein Frame ◽  
Ricci Scalar ◽  
Minimal Coupling ◽  
Renormalization Group Equations ◽  
The Standard Model

Abstract We derive one- and two-loop renormalization group equations (RGEs) of Higgs-R2 inflation. This model has a non-minimal coupling between the Higgs and the Ricci scalar and a Ricci scalar squared term on top of the standard model. The RGEs derived in this paper are valid as long as the energy scale of interest (in the Einstein frame) is below the Planck scale. We also discuss implications to the inflationary predictions and the electroweak vacuum metastability.

scholarly journals Explicit soft supersymmetry breaking in the heterotic M-theory B − L MSSM

2021 ◽  
Vol 2021 (8) ◽  
Author(s):  
Anthony Ashmore ◽  
Sebastian Dumitru ◽  
Burt A. Ovrut
Keyword(s):  
Line Bundle ◽  
Supersymmetry Breaking ◽  
Moduli Space ◽  
Initial Conditions ◽  
Low Energy ◽  
Strongly Coupled ◽  
Hidden Sector ◽  
Effective Lagrangian ◽  
Soft Supersymmetry Breaking ◽  
M Theory

Abstract The strongly coupled heterotic M-theory vacuum for both the observable and hidden sectors of the B − L MSSM theory is reviewed, including a discussion of the “bundle” constraints that both the observable sector SU(4) vector bundle and the hidden sector bundle induced from a single line bundle must satisfy. Gaugino condensation is then introduced within this context, and the hidden sector bundles that exhibit gaugino condensation are presented. The condensation scale is computed, singling out one line bundle whose associated condensation scale is low enough to be compatible with the energy scales available at the LHC. The corresponding region of Kähler moduli space where all bundle constraints are satisfied is presented. The generic form of the moduli dependent F-terms due to a gaugino superpotential — which spontaneously break N = 1 supersymmetry in this sector — is presented and then given explicitly for the unique line bundle associated with the low condensation scale. The moduli-dependent coefficients for each of the gaugino and scalar field soft supersymmetry breaking terms are computed leading to a low-energy effective Lagrangian for the observable sector matter fields. We then show that at a large number of points in Kähler moduli space that satisfy all “bundle” constraints, these coefficients are initial conditions for the renormalization group equations which, at low energy, lead to completely realistic physics satisfying all phenomenological constraints. Finally, we show that a substantial number of these initial points also satisfy a final constraint arising from the quadratic Higgs-Higgs conjugate soft supersymmetry breaking term.

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