Abstract:In certain models of gauge-mediated supersymmetry breaking with messenger fields in incomplete GUT multiplets, the radiative corrections to the Higgs potential cancel out during renormalization group running. This allows for relatively heavy superpartners and for a 125 GeV Higgs while the fine-tuning remains modest. In this paper, we show that such gauge mediation models with "focus point" behaviour can be naturally embedded into a model of SU(5) × U(3) product group unification.
“…In the product group unification, the doublet-triplet splitting problem and the rapid proton decay problem, which are very severe in the minimal SU (5) grand unified theory (GUT), are easily solved. We show that the messenger numbers are fixed to be (N T , N D ) = (2,5) and the widely known fine-tuning measure ∆ [13] is small as ∆=70-130 for the observed Higgs boson mass m h 125 GeV. Moreover, we point out the gravitino can be a dark matter with a high reheating temperature while avoiding the over-closure of the universe.…”
Section: Introductionmentioning
confidence: 75%
“…This is a clear advantage over the models in Refs. [4][5][6], where the required numbers of (N T , N D ) are chosen by hand.…”
Section: Messenger Sectormentioning
confidence: 99%
“…Furthermore, it has been pointed out that a focus point behavior [3] is realized in the minimal GMSB if the numbers of SU (2) L doublet messengers N D and SU (3) c triplet messengers N T have certain values [4][5][6] 2 (see also [7] for an earlier work). It turns out that the ratio of N D to N T is always close to 5/2.…”
We propose a focus point gauge mediation model based on the product group unification (PGU), which solves the doublet-triplet splitting problem of the Higgs multiplets. In the focus point gauge mediation, the electroweak symmetry breaking scale can be naturally explained even for multi-TeV stops. It is known that the focus point behavior appears if a ratio of the number of SU (2) doublet messengers to that of SU (3) triplet messengers is close to 5/2. Importantly, this ratio (effectively) appears in our scenario based on the PGU, if the messenger field is an adjoint representation of SU (5) gauge group. Therefore, our focus point scenario is very predictive. It is also pointed out the gravitino can be dark matter without spoiling the success of the thermal leptogenesis.
“…In the product group unification, the doublet-triplet splitting problem and the rapid proton decay problem, which are very severe in the minimal SU (5) grand unified theory (GUT), are easily solved. We show that the messenger numbers are fixed to be (N T , N D ) = (2,5) and the widely known fine-tuning measure ∆ [13] is small as ∆=70-130 for the observed Higgs boson mass m h 125 GeV. Moreover, we point out the gravitino can be a dark matter with a high reheating temperature while avoiding the over-closure of the universe.…”
Section: Introductionmentioning
confidence: 75%
“…This is a clear advantage over the models in Refs. [4][5][6], where the required numbers of (N T , N D ) are chosen by hand.…”
Section: Messenger Sectormentioning
confidence: 99%
“…Furthermore, it has been pointed out that a focus point behavior [3] is realized in the minimal GMSB if the numbers of SU (2) L doublet messengers N D and SU (3) c triplet messengers N T have certain values [4][5][6] 2 (see also [7] for an earlier work). It turns out that the ratio of N D to N T is always close to 5/2.…”
We propose a focus point gauge mediation model based on the product group unification (PGU), which solves the doublet-triplet splitting problem of the Higgs multiplets. In the focus point gauge mediation, the electroweak symmetry breaking scale can be naturally explained even for multi-TeV stops. It is known that the focus point behavior appears if a ratio of the number of SU (2) doublet messengers to that of SU (3) triplet messengers is close to 5/2. Importantly, this ratio (effectively) appears in our scenario based on the PGU, if the messenger field is an adjoint representation of SU (5) gauge group. Therefore, our focus point scenario is very predictive. It is also pointed out the gravitino can be dark matter without spoiling the success of the thermal leptogenesis.
“…Besides FP SUSY in the CMSSM, there are also investigations in other SUSY-breaking models including gauge-mediated supersymmetry breaking (GMSB) [79][80][81], models with large gaugino masses [44,[82][83][84], and hyperbolic branch SUSY [85,86]. We are going to consider here SUSY breaking in the visible sector triggered by gauge interactions.…”
We propose a small extension of the minimal gauge mediation through the combination of extended gauge mediation and conformal sequestering. We show that the focus point supersymmetry can be realized naturally, and the fine tuning is significantly reduced compared to the minimal gauge mediation and extended gauge mediation without focus point. The Higgs boson mass is around 125 GeV, the gauginos remain light, and the gluino is likely to be detected at the next run of the LHC. However, the multi-TeV squarks is out of the reach of the LHC. The numerical calculation for fine-tuning shows that this model remains natural.
“…As a consequence a compensation between the two terms, hence a reduced value of | m 2 Hu | at low energies, is possible provided that M 2 > M 3 (as the gluino mass M 3 induces large positive contributions to the stop masses in the running). For related works, see [6][7][8][9][10][11].…”
We discuss a class of models with gauge-mediated supersymmetry breaking characterized by a non-unified messenger sector inducing non-standard gaugino mass ratios, as well as by additional contributions to the soft mass terms from a matter-messenger coupling. The well-known effect of this coupling is to generate A-terms at one-loop level, hence raising the Higgs mass without relying on super-heavy stops. At the same time, a hierarchy between Wino and gluino masses, as induced by the non-unified messenger fields, can greatly lower the radiative corrections to the Higgs soft mass term driven by the high-energy parameters, thus reducing the fine tuning. We search for models with low fine tuning within this scenario, and we discuss the spectrum, collider phenomenology, constraints, and prospects of the found solutions. We find that some setups are accessible or already excluded by searches at the Large Hadron Collider, and all our scenarios with a tuning better than about 2% can be tested at the International Linear Collider.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.