Vacuum statistics and parameter tuning for F-term supersymmetry breaking

Zheng Sun

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Vacuum statistics and parameter tuning for F-term supersymmetry breaking

Zheng Sun

High Energy Physics - Theory · Submitted 16 May 2011

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim Assuming a smooth distribution of Lagrangian parameters, SUSY breaking vacua are rare in global SUSY models with a canonical K\"ahler potential, and have a peaked distribution near the cut-off of the SUSY breaking scale in both global SUSY and SUGRA models with a general K\"ahler potential.

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We carry out a model-independent EFT method study on the vacuum statistics of general F-term SUSY breaking models. Assuming a smooth distribution of Lagrangian parameters, SUSY breaking vacua are rare in global SUSY models with a canonical K\"ahler potential, and have a peaked distribution near the cut-off of the SUSY breaking scale in both global SUSY and SUGRA models with a general K\"ahler potential. After including different mass scales in the Lagrangian, we compare the total number of SUSY and non-SUSY vacua and estimate quantitatively the rareness of SUSY breaking. The EFT method provides a general view to the amount of parameter tuning needed for a metastable SUSY breaking vacuum. The tuning also indicates the importance of R-symmetries in SUSY breaking even for metastable SUSY breaking.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We carry out a model-independent EFT method study on the vacuum statistics of general F-term SUSY breaking models.	contribution 0.96	0.93	0.06	asserted 0.94
s1	Assuming a smooth distribution of Lagrangian parameters, SUSY breaking vacua are rare in global SUSY models with a canonical K\"ahler potential, and have a peaked distribution near the cut-off of the SUSY breaking scale in both global SUSY and SUGRA models with a general K\"ahler potential.	result 0.99	0.66	0.55	asserted 1.00
s2	After including different mass scales in the Lagrangian, we compare the total number of SUSY and non-SUSY vacua and estimate quantitatively the rareness of SUSY breaking.	contribution 0.47	0.92	0.13	asserted 0.99
s3	The EFT method provides a general view to the amount of parameter tuning needed for a metastable SUSY breaking vacuum.	interpretation 0.75	0.74	0.23	asserted 0.96
s4	The tuning also indicates the importance of R-symmetries in SUSY breaking even for metastable SUSY breaking.	interpretation 0.97	0.74	0.21	hedged possibility 0.85

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Original abstract

We carry out a model-independent EFT method study on the vacuum statistics of general F-term SUSY breaking models. Assuming a smooth distribution of Lagrangian parameters, SUSY breaking vacua are rare in global SUSY models with a canonical K\"ahler potential, and have a peaked distribution near the cut-off of the SUSY breaking scale in both global SUSY and SUGRA models with a general K\"ahler potential. After including different mass scales in the Lagrangian, we compare the total number of SUSY and non-SUSY vacua and estimate quantitatively the rareness of SUSY breaking. The EFT method provides a general view to the amount of parameter tuning needed for a metastable SUSY breaking vacuum. The tuning also indicates the importance of R-symmetries in SUSY breaking even for metastable SUSY breaking.

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4 arXiv papers cite this in 4 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

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Cites it as support 1 paper

Even if considering non-minimal Kähler potentials or SUGRA generalizations, the size of the allowed parameter region is suppressed by a power of the cut-off scale of the effective theory or the Planck mass [ref] .

Supersymmetry and R-symmetries in Wess-Zumino models: properties and model dataset construction · R-symmetries and discrete R-symmetries · 1.00

Cites it as background 1 paper

The scalar component of $X$, or the SUSY breaking pseudomodulus $ϕ_X$ [ref] , obtains a VEV at loop level by including quantum corrections [ref] , or through the inclusion of D-terms [ref] .

Gaugino masses from misaligned supersymmetry breaking and R-symmetry breaking spurions · Introduction · 0.81

What it cites · 33 sentences without a confident label

Cites as support 4 papers

This is just a manifestation of the fact that a SUSY breaking vacuum from any O'Raifeartaigh model with a canonical Kähler potential always has a flat pseudomodulus direction [ref] .

Notes on SUSY and R-Symmetry Breaking in Wess-Zumino Models · SUSY with a canonical Kähler potential · 0.97
This is just a manifestation of the fact that a SUSY breaking vacuum from any O'Raifeartaigh model with a canonical Kähler potential always has a flat pseudomodulus direction [ref] .

Some properties of meta-stable supersymmetry-breaking vacua in Wess-Zumino models · SUSY with a canonical Kähler potential · 0.97
But such tuning greatly decreases the size of the allowed parameter region [ref] .

Distributions of nonsupersymmetric flux vacua · One-field approximation · 0.97

Cites as background 17 papers

In SUSY breaking model building, R-symmetries are often applied because of their connection to SUSY breaking global vacua [ref] .

R Symmetry Breaking Versus Supersymmetry Breaking · Parameter tuning · 0.87
Many results have been reached in this way [ref] .

Physics of String Flux Compactifications · Introduction · 0.85
Many results have been reached in this way [ref] .

A Review of Distributions on the String Landscape · Introduction · 0.85

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