Geography of Fields in Extra Dimensions: String Theory Lessons for Particle Physics

Nilles, Hans Peter; Vaudrevange, Patrick K.S.

doi:10.1142/9789814602686_0004

Advanced Series on Directions in High Energy Physics

2015

DOI: 10.1142/9789814602686_0004

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Geography of Fields in Extra Dimensions: String Theory Lessons for Particle Physics

Hans Peter Nilles

Patrick K.S. Vaudrevange

Abstract: String theoretical ideas might be relevant for particle physics model building. Ideally one would hope to find a unified theory of all fundamental interactions. There are only few consistent string theories in D = 10 or 11 space-time dimensions, but a huge landscape in D = 4. We have to explore this landscape to identify models that describe the known phenomena of particle physics. Properties of compactified six spatial dimensions are crucial in that respect. We postulate some useful rules to investigate this … Show more

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Cited by 3 publications

References 46 publications

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LHC SUSY and WIMP dark matter searches confront the string theory landscape

Baer

Barger

Salam

et al. 2019

J. High Energ. Phys.

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The string theory landscape of vacua solutions provides physicists with some understanding as to the magnitude of the cosmological constant. Similar reasoning can be applied to the magnitude of the soft SUSY breaking terms in supersymmetric models of particle physics: there appears to be a statistical draw towards large soft terms which is tempered by the anthropic requirement of the weak scale lying not too far from ∼ 100 GeV. For a mild statistical draw of m n sof t with n = 1 (as expected from SUSY breaking due to a single F term) then the light Higgs mass is preferred at ∼ 125 GeV while sparticles are all pulled beyond LHC bounds. We confront a variety of LHC and WIMP dark matter search limits with the statistical expectations from a fertile patch of string theory landscape. The end result is that LHC and WIMP dark matter detectors see exactly that which is expected from the landscape: a Standard Model-like Higgs boson of mass 125 GeV but as yet no sign of sparticles or WIMP dark matter. SUSY from the n = 1 landscape is most likely to emerge at LHC in the soft opposite-sign dilepton plus jet plus MET channel. Multi-ton noble liquid WIMP detectors should be able to completely explore the n = 1 landscape parameter space. *

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LHC SUSY and WIMP dark matter searches confront the string theory landscape

Baer

Barger

Salam

et al. 2019

J. High Energ. Phys.

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Superparticle phenomenology from the natural mini-landscape

Baer

Barger

Savoy

et al. 2017

J. High Energ. Phys.

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The methodology of the heterotic mini-landscape attempts to zero in on phenomenologically viable corners of the string landscape where the effective low energy theory is the Minimal Supersymmetric Standard Model with localized grand unification. The gaugino mass pattern is that of mirage-mediation. The magnitudes of various SM Yukawa couplings point to a picture where scalar soft SUSY breaking terms are related to the geography of fields in the compactified dimensions. Higgs fields and third generation scalars extend to the bulk and occur in split multiplets with TeV scale soft masses. First and second generation scalars, localized at orbifold fixed points or tori with enhanced symmetry, occur in complete GUT multiplets and have much larger masses. This picture can be matched onto the parameter space of generalized mirage mediation. Naturalness considerations, the requirement of the observed electroweak symmetry breaking pattern, and LHC bounds on mg together limit the gravitino mass to the m 3/2 ∼ 5-60 TeV range. The mirage unification scale is bounded from below with the limit depending on the ratio of squark to gravitino masses. We show that while natural SUSY in this realization may escape detection even at the high luminosity LHC, the high energy LHC with √ s = 33 TeV could unequivocally confirm or exclude this scenario. It should be possible to detect the expected light higgsinos at the ILC if these are kinematically accessible, and possibly also discriminate the expected compression of gaugino masses in the natural mini-landscape picture from the mass pattern expected in models with gaugino mass unification. The thermal WIMP signal should be accessible via direct detection searches at the multi-ton noble liquid detectors such as XENONnT or LZ.

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Charting the flavor landscape of MSSM-like Abelian heterotic orbifolds

2018

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Discovering a selection principle and the origin of flavor symmetries from an ultraviolet completion of particle physics is an interesting open task. As a step in this direction, we classify all possible flavor symmetries of 4D massless spectra emerging from supersymmetric Abelian orbifold compactifications, including roto-translations and non-factorizable tori, for generic moduli values. Although these symmetries are valid in all string theories, we focus on the E 8 ×E 8 heterotic string. We perform the widest known search of E 8 ×E 8 Abelian orbifold compactifications, yielding over 121,000 models with MSSM-like features. About 75.4% of these models exhibit flavor symmetries containing D 4 factors and only nearly 1.2% have ∆(54) factors. The remaining models are furnished with purely Abelian flavor symmetries. Our findings suggest that, should particle phenomenology arise from such a heterotic orbifold, it could accommodate only one of these flavor symmetries.

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Geography of Fields in Extra Dimensions: String Theory Lessons for Particle Physics

Cited by 3 publications

References 46 publications

LHC SUSY and WIMP dark matter searches confront the string theory landscape

LHC SUSY and WIMP dark matter searches confront the string theory landscape

Superparticle phenomenology from the natural mini-landscape

Charting the flavor landscape of MSSM-like Abelian heterotic orbifolds

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