SUSY breaking in local string/F-theory models

By Ralph Blumenhagen, Joseph P. Conlon, S. Krippendorf, Sebastian Moster, F. Quevedo. 2009

197 citations recorded by the source corpus.

We investigate bulk moduli stabilisation and supersymmetry breaking in local string/F-theory models where the Standard Model is supported on a del Pezzo surface or singularity. Computing the gravity mediated soft terms on the Standard Model brane induced by bulk supersymmetry breaking in the LARGE volume scenario, we explicitly find suppressions by M_s/M_P ~ V^{-1/2} compared to M_{3/2}. This gives rise to several phenomenological scenarios, depending on the strength of perturbative corrections to the effective action and the source of de Sitter lifting, in which the soft terms are suppressed by at least M_P/V^{3/2} and may be as small as M_P/V^2. Since the gravitino mass is of order M_{3/2} ~ M_P/V, for TeV soft terms all these scenarios give a very heavy gravitino (M_{3/2} >= 10^8 GeV) and generically the lightest moduli field is also heavy enough (m >= 10 TeV) to avoid the cosmological moduli problem. For TeV soft terms, these scenarios predict a minimal value of the volume to be V ~ 10^{6-7} in string units, which would give a unification scale of order M_{GUT} ~ M_s V^{1/6} ~ 10^{16} GeV. The strong suppression of gravity mediated soft terms could also possibly allow a scenario of dominant gauge mediation in the visible sector but with a very heavy gravitino M_{3/2} > 1 TeV.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/2f7d60cfbf06961bb3add1fb99b3bc5c5059a155

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Citations in the corpus

Towards universal axion inflation and reheating in string theory (2014, background): “Such a scenario was analyzed in detail in [27].”
de Sitter string vacua from dilaton-dependent non-perturbative effects (2012, background): “However if the Standard Model cycle does not contribute to supersymmetry breaking, then the soft terms can be hierarchically smaller than the gravitino mass with scalar masses of order m0 ∼ 1/V3/2, 1/V2 [33] (see however [34] when field redefinitions are needed).”
MODELS OF PARTICLE PHYSICS FROM TYPE IIB STRING THEORY AND F-THEORY: A REVIEW (2012, background): “Unfortunately, unlike the previous setting, soft masses in this scenario are highly sensitive to the precise form of the uplift potential [101] and loop corrections [102, 103].”
Explicit de Sitter flux vacua for global string models with chiral matter (2013, background): “In fact, for models with just fractional D3-branes, the visible sector is sequestered from supersymmetry breaking, leading to α3 = 2, α4 = 1 and either α2 = 3 or α2 = 4, depending on the moduli-dependence of the Kähler metric for matter fields [49].”
Inflation and String Theory (2014, background): “Investigations of sequestering in string theory [509–514] have confirmed that complete decoupling is extremely rare, but partial suppression of some couplings can occur in certain cases [512].”
D-branes at del Pezzo singularities: global embedding and moduli stabilisation (2012, background): “It was shown in [21] that for models at singularities the soft breaking terms can be suppressed as much as 1/V with respect to the gravitino mass.”
The type IIB string axiverse and its low-energy phenomenology (2012, background): “This singles out sequestered models where the soft terms can be around the TeV scale even if the gravitino mass is at the intermediate scale [35].”
Global F-theory GUTs (2009, background): “As pointed out in [72] and further elaborated on in [73], these two questions can actually not be considered independently, and the interplay of the closed and open sector is crucial to understand such pressing questions as the scale of supersymmetry breaking and its mediation in consistent models.”