Abstract:Abstract:The minimal supersymmetric extension of the Standard Model (SM) is a well motivated scenario for physics beyond the SM, which allows a perturbative description of the theory up to scales of the order of the Grand Unification scale, where gauge couplings unify. The Higgs mass parameter is insensitive to the ultraviolet physics and is only sensitive to the scale of soft supersymmetry breaking parameters. Present collider bounds suggest that the characteristic values of these parameters may be significan… Show more
“…It is well-known that such a heavy gluino spoils the success of several models which consider the HB/FP region [64][65][66][67][68][69][70][71]. However, as we will show, this does not happen in our case.…”
Section: Sparticles Searchesmentioning
confidence: 62%
“…Indeed, using fitting techniques, we can verify the following formula H2 of H 2 becomes independent of the asymptotic value of the parameter m 0 . This is called the focus point (FP) region [22][23][24].…”
Section: The Hyperbolic Branch/focus Point Regionmentioning
confidence: 99%
“…(iii) The hyperbolic branch/focus point (HB/FP) region [19][20][21][22][23][24][25][26][27] located at large values of m 0 ≫ M 1/2 and small µ's, which ensures a sizable higgsino fraction ofχ. The Ω LSP h 2 remains under control for m LSP 1 TeV thanks to the rapidχ −χ annihilation and the neutralino-chargino (χ/χ 2 −χ + 1 ) coannihilation [28][29][30] (χ 2 is the next-to-lightest neutralino andχ + 1 the lightest chargino).…”
We analyze the parametric space of the constrained minimal supersymmetric standard model with µ > 0 supplemented by a generalized asymptotic Yukawa coupling quasi-unification condition which yields acceptable masses for the fermions of the third family. We impose constraints from the cold dark matter abundance in the universe and its direct detection experiments, the B-physics, as well as the masses of the sparticles and the lightest neutral CP-even Higgs boson. Fixing the mass of the latter to its central value from the LHC and taking 40 tan β 50, we find a relatively wide allowed parameter space with −11 A0/M 1/2 15 and mass of the lightest sparticle in the range (0.09 − 1.1) TeV. This sparticle is possibly detectable by the present cold dark matter direct search experiments. The required fine-tuning for the electroweak symmetry breaking is much milder than the one needed in the neutralino-stau coannihilation region of the same model.
“…It is well-known that such a heavy gluino spoils the success of several models which consider the HB/FP region [64][65][66][67][68][69][70][71]. However, as we will show, this does not happen in our case.…”
Section: Sparticles Searchesmentioning
confidence: 62%
“…Indeed, using fitting techniques, we can verify the following formula H2 of H 2 becomes independent of the asymptotic value of the parameter m 0 . This is called the focus point (FP) region [22][23][24].…”
Section: The Hyperbolic Branch/focus Point Regionmentioning
confidence: 99%
“…(iii) The hyperbolic branch/focus point (HB/FP) region [19][20][21][22][23][24][25][26][27] located at large values of m 0 ≫ M 1/2 and small µ's, which ensures a sizable higgsino fraction ofχ. The Ω LSP h 2 remains under control for m LSP 1 TeV thanks to the rapidχ −χ annihilation and the neutralino-chargino (χ/χ 2 −χ + 1 ) coannihilation [28][29][30] (χ 2 is the next-to-lightest neutralino andχ + 1 the lightest chargino).…”
We analyze the parametric space of the constrained minimal supersymmetric standard model with µ > 0 supplemented by a generalized asymptotic Yukawa coupling quasi-unification condition which yields acceptable masses for the fermions of the third family. We impose constraints from the cold dark matter abundance in the universe and its direct detection experiments, the B-physics, as well as the masses of the sparticles and the lightest neutral CP-even Higgs boson. Fixing the mass of the latter to its central value from the LHC and taking 40 tan β 50, we find a relatively wide allowed parameter space with −11 A0/M 1/2 15 and mass of the lightest sparticle in the range (0.09 − 1.1) TeV. This sparticle is possibly detectable by the present cold dark matter direct search experiments. The required fine-tuning for the electroweak symmetry breaking is much milder than the one needed in the neutralino-stau coannihilation region of the same model.
“…These two quantities are related by renormalization group equations (RGEs), which can be solved numerically. The dependence of the LS parameters on the input parameters take the form of [23,78]…”
Section: The Barbieri-giudice Measurementioning
confidence: 99%
“…To this end, consider m 2 Hu (M SUSY ) of Eq. (2.5), where we now explicitly show the value of the numerical coefficients using M SUSY = 1 TeV, tan β=10, a high-scale value of 10 16 GeV and the usual values for the SM input parameters [23,78]…”
Section: Dependence On High-scale Model Assumptionsmentioning
In this paper, we minimize and compare two different fine-tuning measures in four high-scale supersymmetric models that are embedded in the MSSM. In addition, we determine the impact of current and future dark matter direct detection and collider experiments on the fine-tuning. We then compare the low-scale electroweak measure with the high-scale Barbieri-Giudice measure, which generally do not agree. However, we find that they do reduce to the same value when the higgsino parameter drives the degree of finetuning. Depending on the high-scale model and fine-tuning definition, we find a minimal fine-tuning of 3 − 38 (corresponding to O(10 − 1)%) for the low-scale measure, and 63 − 571 (corresponding to O(1 − 0.1)%) for the high-scale measure. In addition, minimally finetuned spectra give rise to a dark matter relic density that is between 10 −3 < Ωh 2 < 1, when µ determines the minimum of the fine-tuning. We stress that it is too early to conclude on the fate of supersymmetry, based only on the fine-tuning paradigm.
In this paper, we explore conditions for focus point in the high-scale supersymmetry with the weak-scale gaugino masses. In this context the tension between the naturalness and LHC 2013 data about supersymmetry as well as the cold dark matter candidate are addressed simultaneously. It is shown that the observed Higgs mass can be satisfied in a wide classes of new models, which are realized by employing the non-minimal gauge mediation.
I. INTRODUCTIONThe standard model (SM)-like Higgs scalar with mass around 125 GeV [1] discovered at the LHC needs some mechanism for stabilizing it against high-energy scale quantum correction. Among the well known candidates which achieve this naturally low-scale supersymmetry (SUSY) is expected to play an important role at the TeV scale. However, the first run of LHC has not observed any signal of new physics yet, and pushes the SUSY particle masses into multi-TeVs region [2, 3]. So the absence of SUSY particles near the weak scale v, together with the observed Higgs mass, severely challenge the low-scale SUSY.In the context of minimal supersymmetric standard model (MSSM) stop masses far above the weak scale is required by the observed Higgs mass when the mixing effect is weak. Given SUSY mass spectrum far above the weak scale, the naturalness is spoiled naively. However, this statement can be relaxed in some specific situations. SUSY with focusing phenomenon [4, 5], which is named as focus point SUSY, is few of such examples. In focus point SUSY the sensitivity of up-type Higgs mass squared to the mass scale of SUSY mass spectrum is suppressed because of cancellation among the large renormalization group (RG) corrections. This phenomenon leads to a dramatical reduction of fine tuning associated with electroweak symmetry breaking (EWSB). As a result, it provides us an alternative choice of natural SUSY consistent with the LHC data and the observed Higgs mass. Unfortunately, focus point SUSY can not be realized in the minimal setup from the viewpoint of model building such as conventional supergravity [6] and the minimal gauge mediation (GM) [7]. However, they are expected to be achieved in some subtle cases. For recent
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