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Calabi-Yau manifolds have played a key role in both mathematics and physics, and are particularly important for deriving realistic models of particle physics from string theory. Unfortunately, very little is known about the explicit metrics…

High Energy Physics - Theory · Physics 2022-02-15 Anthony Ashmore

We explore the phenomenological implications of generalizing measures to a multidimensional multiverse. We consider a simple model in which the vacua are nucleated from a $D$-dimensional parent spacetime through dynamical compactification…

High Energy Physics - Theory · Physics 2015-04-29 Hyeyoun Chung

We introduce a natural model of quintessence in string theory where the light rolling scalar is radiatively stable and couples to Standard Model matter with weaker-than- Planckian strength. The model is embedded in an anisotropic type IIB…

High Energy Physics - Theory · Physics 2015-06-04 Michele Cicoli , Francisco G. Pedro , Gianmassimo Tasinato

In a statistical analysis in Particle Physics, nuisance parameters can be introduced to take into account various types of systematic uncertainties. The best estimate of such a parameter is often modeled as a Gaussian distributed variable…

Data Analysis, Statistics and Probability · Physics 2019-02-25 Glen Cowan

The standard model of particle physics represents the cornerstone of our understanding of the microscopic world. In these lectures we review its contents and structure, with a particular emphasis on the central role played by symmetries and…

High Energy Physics - Theory · Physics 2025-03-14 Luis Alvarez-Gaume , Miguel A. Vazquez-Mozo

We construct six stack D6-brane vacua (non-supersymmetric) that have at low energy exactly the standard model (with right handed neutrinos). The construction is based on D6-branes intersecting at angles in $D = 4$ type toroidal orientifolds…

High Energy Physics - Theory · Physics 2014-11-18 Christos Kokorelis

The Standard Model of elementary particles is a theory unifying three of the four basic forces of the Nature: electromagnetic, weak, and strong interactions. In this paper we consider the Standard Model in the presence of a classical…

Differential Geometry · Mathematics 2007-05-23 Ruslan Sharipov

We review recent progress in the construction of four-dimensional vacua of Type II string theory and F-theory which yield the Standard Model of particle physics (SM) or extensions thereof. In Type II orientifold compactifications the SM…

High Energy Physics - Theory · Physics 2022-12-16 Fernando Marchesano , Bert Schellekens , Timo Weigand

We show that the density $\mu$ of the Smith normal form (SNF) of a random integer matrix exists and equals a product of densities $\mu_{p^s}$ of SNF over $\mathbb{Z}/p^s\mathbb{Z}$ with $p$ a prime and $s$ some positive integer. Our…

Combinatorics · Mathematics 2018-01-25 Yinghui Wang , Richard P. Stanley

String theory has no parameter except the string scale, so a dynamically compactified solution to 4 dimensional spacetime should determine both the Planck scale and the cosmological constant $\Lambda$. In the racetrack K\"ahler uplift flux…

High Energy Physics - Theory · Physics 2019-10-25 Stefano Andriolo , Shing Yan Li , S. H. Henry Tye

The role of gauge invariance is reconsidered by "deriving it without assuming it" within an autonomous approach to interactions of Standard Model particles. In this approach, the renormalizable interactions are purely constrained by quantum…

High Energy Physics - Theory · Physics 2026-05-26 Karl-Henning Rehren

A coupling-constant definition is given based on the compositeness property of some particle states with respect to the elementary states of other particles. It is applied in the context of the vector-spin-1/2-particle interaction vertices…

High Energy Physics - Phenomenology · Physics 2009-11-10 J. Besprosvany

In this letter, we introduce a general theory for the construction of particle physics theories, with three families and realistic gauge groups, within the context of heterotic M-theory. This is achieved using semi-stable holomorphic gauge…

High Energy Physics - Theory · Physics 2009-10-31 Ron Donagi , Andre Lukas , Burt A. Ovrut , Daniel Waldram

In this Thesis we investigate properties of stability, rigidity and unitarity of the string landscape in ten and lower dimensions. The dissertation explores these aspects by intertwining a detailed analysis of string vacua, with and without…

High Energy Physics - Theory · Physics 2024-08-02 Giorgio Leone

We propose that the Standard Model is coupled to a sector with an enormous landscape of vacua, where only the dimensionful parameters--the vacuum energy and Higgs masses--are finely "scanned" from one vacuum to another, while dimensionless…

High Energy Physics - Theory · Physics 2007-05-23 Nima Arkani-Hamed , Savas Dimopoulos , Shamit Kachru

The Standard Model electroweak vacuum has been found to be metastable, with the true stable vacuum given by a large, phenomenologically unacceptable vacuum expectation value $\approx M_{P}$. Moreover, it may be unstable in an inflationary…

High Energy Physics - Phenomenology · Physics 2015-06-16 Archil Kobakhidze , Alexander Spencer-Smith

Much curent theoretical analysis is based on the hypothesis that the physics beyond the Standard Model is a consequence of new principles that occur at the Planck scale. The question arises whether such principles can ever be directly…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. Arnowitt , Pran Nath

Consider random matrices $A$, of dimension $m\times (m+n)$, drawn from an ensemble with probability density $f(\rmtr AA^\dagger)$, with $f(x)$ a given appropriate function. Break $A = (B,X)$ into an $m\times m$ block $B$ and the…

Probability · Mathematics 2007-06-13 Joshua Feinberg

The Standard Model data suggests that the quantum gravity vacuum should accommodate two pivotal ingredients. The existence of three chiral generations and their embedding in chiral 16 SO(10) representations. The Z2XZ2 orbifolds are examples…

High Energy Physics - Theory · Physics 2007-05-23 Alon E. Faraggi

Calabi--Yau compactifications of the $E_8\times E_8$ heterotic string provide a promising route to recovering the four-dimensional particle physics described by the Standard Model. While the topology of the Calabi--Yau space determines the…

High Energy Physics - Theory · Physics 2024-07-22 Per Berglund , Giorgi Butbaia , Tristan Hübsch , Vishnu Jejjala , Damián Mayorga Peña , Challenger Mishra , Justin Tan