Statistical distribution of the vacuum energy density in racetrack Kähler uplift models in string theory

Sumitomo, Yoske; Tye, S.‐H. Henry; Wong, Sam S. C.

doi:10.1007/jhep07(2013)052

Cited by 26 publications

(90 citation statements)

References 53 publications

(109 reference statements)

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“…In this Section, we describe our main proposal on the probability distributions. As illustrations, we recall some results obtained in a toy model [2,3] and extend them to illustrate the importance and validity of our main input/assumptions. The main point is to show that if we write down an effective potential satisfying some stringy requirements, then vacua with small vacuum energy are statistically preferred.…”

Section: Overviewmentioning

confidence: 95%

“…In particular, we observe this feature in the the Kähler uplift model [4][5][6][7][8], which is up-todate the best controlled way to reach deSitter (dS) space among the proposed ones. In the Racetrack Kähler uplift model [2], one calculates the probability distribution P (Λ) and finds that the median value can easily match the observed value. Furthermore, a new scale m 10 2 GeV automatically emerges [1].…”

Section: Introductionmentioning

confidence: 99%

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String landscape and fermion masses

Andriolo

Tye

2020

Phys. Rev. D

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Besides the string scale, string theory has no parameter except some quantized flux values; and the string theory Landscape is generated by scanning over discrete values of all the flux parameters present. We propose that a typical (normalized) probability distribution P (Q) of a physical quantity Q (with nonnegative dimension) tends to peak (diverge) at Q = 0 as a signature of string theory. In the Racetrack Kähler uplift model, where P (Λ) of the cosmological constant Λ peaks sharply at Λ = 0, the electroweak scale (not the electroweak model) naturally emerges when the median Λ is matched to the observed value. We check the robustness of this scenario. In a bottom-up approach, we find that the observed quark and charged lepton masses are consistent with the same probabilistic philosophy, with distribution P (m) that diverges at m = 0, with the same (or almost the same) degree of divergence. This suggests that the Standard Model has an underlying string theory description, and yields relations among the fermion masses, albeit in a probabilistic approach (very different from the usual sense). Along this line of reasoning, the normal hierarchy of neutrino masses is clearly preferred over the inverted hierarchy, and the sum of the neutrino masses is predicted to be m ν 0.0592 eV, with an upper bound m ν < 0.066 eV. This illustrates a novel way string theory can be applied to particle physics phenomenology.

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Section: Overviewmentioning

confidence: 95%

Section: Introductionmentioning

confidence: 99%

String landscape and fermion masses

Andriolo

Tye

2020

Phys. Rev. D

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“…Works in previous literature [24][25][26]30] suggest either the expectation value z or the value z Y % with cumu-…”

Section: Preferred Hierarchy On Logarithmic Scalesmentioning

confidence: 99%

Preferred hierarchy scales from the product landscape

Sun

2014

J. High Energ. Phys.

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Abstract:The product landscape method has been recently proposed to solve hierarchy problems such as the cosmological constant problem. We suggest that the parameter distribution on logarithmic scales should be used as a benchmark for hierarchy, and the preferred hierarchy scales can be obtained from the distribution peak. It is shown that generating hierarchy from purely product distribution is very inefficient. To achieve a reasonably acceptable efficiency, other effects such as accumulation of weak hierarchy in the effective theory should be incorporated.

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“…In the simplest version of the Kähler uplifting scenario, there is an upper bound on the overall volume of the Calabi-Yau such that one may worry about higher order α -corrections. However, this bound can be significantly relaxed when embedded in a racetrack model [26].…”

Section: Jhep01(2015)015mentioning

confidence: 99%

“…We do not expect tadpole cancellation to be in general more restrictive than in e.g., the AdS LVS. In particular, we do not require a large number of D7-branes [22] and/or racetrack effect [26] on a particular single divisor to achieve a large volume as in the Kähler Uplifting scenario.…”

Section: Jhep01(2015)015mentioning

confidence: 99%

De Sitter vacua from a D-term generated racetrack uplift

Sumitomo

Rummel

2015

J. High Energ. Phys.

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Abstract:We propose an uplift mechanism using a structure of multi-Kähler moduli dependence in the F-term potential of type IIB string theory compactifications. This mechanism requires a D-term condition that fixes one modulus to be proportional to another modulus, resulting in a trivial D-term potential. De Sitter minima are realized along with an enhancement of the volume in the Large Volume Scenario and no additional suppression of the uplift term such as warping is required. We further show the possibility to realize the uplift mechanism in the presence of more Kähler moduli such that we expect the uplift mechanism to work in many other compactifications.

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Statistical distribution of the vacuum energy density in racetrack Kähler uplift models in string theory

Cited by 26 publications

References 53 publications

String landscape and fermion masses

String landscape and fermion masses

Preferred hierarchy scales from the product landscape

De Sitter vacua from a D-term generated racetrack uplift

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