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 SEQUESTERED UPLIFTING AND THE PATTERN OF SOFT SUPERSYMMETRY BREAKING TERMS

2008 ◽  
Vol 23 (24) ◽  
pp. 1981-1989 ◽  
Author(s):  
KWANG SIK JEONG
Keyword(s):  
Supersymmetry Breaking ◽  
Vacuum Expectation ◽  
Expectation Values ◽  
Dominant Source ◽  
Moduli Stabilization ◽  
Term Relation ◽  
Stationary Conditions ◽  
Soft Supersymmetry Breaking

We examine the pattern of soft supersymmetry breaking terms in moduli stabilization, where an uplifting potential is provided by spontaneously broken supersymmetry in a generic sequestered sector. From stationary conditions, we derive the relation between moduli F-term vacuum expectation values which does not depend on the details of sequestered uplifting. This moduli F-term relation that reflects the sequestering structure is crucial for identifying the dominant source of soft terms of visible fields.

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.

scholarly journals SPHALERONS AT FINITE TEMPERATURE

1993 ◽  
Vol 08 (31) ◽  
pp. 5563-5574 ◽  
Author(s):  
SYLVIE BRAIBANT ◽  
YVES BRIHAYE ◽  
JUTTA KUNZ
Keyword(s):  
Upper Bound ◽  
Finite Temperature ◽  
Higgs Mass ◽  
Higgs Field ◽  
Vacuum Expectation ◽  
Temperature Dependent ◽  
Expectation Values ◽  
Effective Potentials ◽  
Temperature Zero

We construct the sphaleron for several temperature-dependent effective potentials. We determine the sphaleron energy as a function of temperature and demonstrate that the sphaleron energy at a given temperature T is well approximated by the sphaleron energy at temperature zero scaled by the ratio of the vacuum expectation values of the Higgs field at temperatures T and zero. We address the cosmological upper bound on the Higgs mass.

scholarly journals Higgs mass prediction with non-universal soft supersymmetry breaking in MSSM

2000 ◽  
Vol 477 (1-3) ◽  
pp. 223-232 ◽  
Author(s):  
Sorin Codoban ◽  
Marian Jurčišin ◽  
Dmitri Kazakov
Keyword(s):  
Supersymmetry Breaking ◽  
Higgs Mass ◽  
Soft Supersymmetry Breaking

$B^0 - \bar B^0 $ MIXING IN A SUPERSYMMETRY-INSPIRED TWO HIGGS DOUBLET MODEL

1988 ◽  
Vol 03 (11) ◽  
pp. 1099-1105 ◽  
Author(s):  
AMITAVA RAYCHAUDHURI ◽  
SREERUP RAYCHAUDHURI
Keyword(s):  
Top Quark ◽  
Quark Mass ◽  
Higgs Mass ◽  
Vacuum Expectation ◽  
Higgs Doublet ◽  
Top Quark Mass ◽  
Expectation Values ◽  
Charged Higgs ◽  
Doublet Model ◽  
Two Higgs Doublet Model

A supersymmetry-motivated two Higgs doublet model with equal vacuum expectation values for the two neutral Higgs and with a physical charged Higgs mass of 80–100 GeV is carefully examined in the context of its implications for [Formula: see text] mixing. Even with this conservative choice of Higgs parameters, the lower bound on the top quark mass coming from the ARGUS data is found to be considerably relaxed. An upper bound is also set, using results from CLEO and Mark II.

scholarly journals A minimal supersymmetric SU(5) missing-partner model

2021 ◽  
Vol 81 (6) ◽  
Author(s):  
John Ellis ◽  
Jason L. Evans ◽  
Natsumi Nagata ◽  
Keith A. Olive
Keyword(s):  
Dark Matter ◽  
Supersymmetry Breaking ◽  
Gauge Group ◽  
Parameter Space ◽  
Higgs Mass ◽  
Matter Density ◽  
High Scale ◽  
Gaugino Mass ◽  
Gut Scale ◽  
Soft Supersymmetry Breaking

AbstractWe explore a missing-partner model based on the minimal SU(5) gauge group with $$\mathbf{75} $$ 75 , $$\mathbf{50} $$ 50 and $$\overline{\mathbf{50 }}$$ 50 ¯ Higgs representations, assuming a super-GUT CMSSM scenario in which soft supersymmetry-breaking parameters are universal at some high scale $$M_{\mathrm{in}}$$ M in above the GUT scale $$M_{\mathrm{GUT}}$$ M GUT . We identify regions of parameter space that are consistent with the cosmological dark matter density, the measured Higgs mass and the experimental lower limit on $$\tau (p \rightarrow K^+ \nu )$$ τ ( p → K + ν ) . These constraints can be satisfied simultaneously along stop coannihilation strips in the super-GUT CMSSM with $$\tan \beta \sim $$ tan β ∼ 3.5–5 where the input gaugino mass $$m_{1/2} \sim $$ m 1 / 2 ∼ 15–25 TeV, corresponding after strong renormalization by the large GUT Higgs representations between $$M_{\mathrm{in}}$$ M in and $$M_{\mathrm{GUT}}$$ M GUT to $$m_{\mathrm{LSP}}, m_{{\tilde{t}}_1} \sim $$ m LSP , m t ~ 1 ∼ 2.5–5 TeV and $$m_{{\tilde{g}}} \sim $$ m g ~ ∼ 13–20 TeV, with the light-flavor squarks significantly heavier. We find that $$\tau (p \rightarrow K^+ \nu ) \lesssim 3 \times 10^{34}$$ τ ( p → K + ν ) ≲ 3 × 10 34  years throughout the allowed range of parameter space, within the range of the next generation of searches with the JUNO, DUNE and Hyper-Kamiokande experiments.

scholarly journals Low-energy probes of no-scale SU(5) super-GUTs

2021 ◽  
Vol 81 (2) ◽  
Author(s):  
John Ellis ◽  
Jason L. Evans ◽  
Natsumi Nagata ◽  
Keith A. Olive ◽  
L. Velasco-Sevilla
Keyword(s):  
Dark Matter ◽  
Supersymmetry Breaking ◽  
Higgs Mass ◽  
Cold Dark Matter ◽  
Initial Conditions ◽  
Branching Ratio ◽  
Proton Decay ◽  
Matter Density ◽  
Dark Matter Density ◽  
Soft Supersymmetry Breaking

AbstractWe explore the possible values of the $$\mu \rightarrow e \gamma $$ μ → e γ branching ratio, $$\text {BR}(\mu \rightarrow e\gamma )$$ BR ( μ → e γ ) , and the electron dipole moment (eEDM), $$d_e$$ d e , in no-scale SU(5) super-GUT models with the boundary conditions that soft supersymmetry-breaking matter scalar masses vanish at some high input scale, $$M_\mathrm{in}$$ M in , above the GUT scale, $$M_{\mathrm{GUT}}$$ M GUT . We take into account the constraints from the cosmological cold dark matter density, $$\Omega _{CDM} h^2$$ Ω CDM h 2 , the Higgs mass, $$M_h$$ M h , and the experimental lower limit on the lifetime for $$p \rightarrow K^+ \bar{\nu }$$ p → K + ν ¯ , the dominant proton decay mode in these super-GUT models. Reconciling this limit with $$\Omega _{CDM} h^2$$ Ω CDM h 2 and $$M_h$$ M h requires the Higgs field responsible for the charge-2/3 quark masses to be twisted, and possibly also that responsible for the charge-1/3 and charged-lepton masses, with model-dependent soft supersymmetry-breaking masses. We consider six possible models for the super-GUT initial conditions, and two possible choices for quark flavor mixing, contrasting their predictions for proton decay with versions of the models in which mixing effects are neglected. We find that $$\tau \left( p\rightarrow K^+ \bar{\nu }\right) $$ τ p → K + ν ¯ may be accessible to the upcoming Hyper-Kamiokande experiment, whereas all the models predict $$\text {BR}(\mu \rightarrow e\gamma )$$ BR ( μ → e γ ) and $$d_e$$ d e below the current and prospective future experimental sensitivities or both flavor choices, when the dark matter density, Higgs mass and current proton decay constraints are taken into account. However, there are limited regions with one of the flavor choices in two of the models where $$\mu \rightarrow e$$ μ → e conversion on a heavy nucleus may be observable in the future. Our results indicate that there is no supersymmetric flavor problem in the class of no-scale models we consider.

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