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Preliminary Remarks. Gauge mediated supersymmetry breaking. Gravity mediated supersymmetry breaking. Anomaly mediated supersymmetry breaking. Gaugino mediated supersymmetry breaking. Braneworld supersymmetry breaking. Conclusions.

High Energy Physics - Phenomenology · Physics 2008-11-26 Probir Roy

These notes are an elementary introduction to supersymmetric quantum mechanics for students of mathematics. We start from the very basic concepts of quantum mechanics and proceed to construct a realization of Heisenberg's superalgebra as a…

Mathematical Physics · Physics 2012-05-07 José A. Vallejo

The next-to-minimal supersymmetric extension of the Standard Model (NMSSM) is one of the most favored supersymmetric models. After an introduction to the model, the Higgs sector and the neutralino sector are discussed in detail.…

High Energy Physics - Phenomenology · Physics 2010-11-11 M. Maniatis

This is a kind of introduction to some basic topics in analysis, some of which would be covered in standard graduate courses, and some not. However, an important difference is that not much in the way of prerequisites are needed, beyond…

Classical Analysis and ODEs · Mathematics 2007-05-23 Stephen Semmes

We summarize the status of various supersymmetric models in view of the existing LHC data. A particular focus is on the implications of the measured Higgs mass on these models which gives important constraints. We consider here minimal and…

High Energy Physics - Phenomenology · Physics 2017-05-23 Werner Porod

These lecture notes provide an informal introduction to the theory of nonnegative polynomials and sums of squares. We highlight the history and some recent developments, especially the new connections with classical (complex) algebraic…

Algebraic Geometry · Mathematics 2021-06-01 Grigoriy Blekherman , Jannik Wesner

These notes form part of a lecture course on gauge theory. The material covered is standard in the physics literature, but perhaps less well-known to mathematicians. The purpose of these notes is to make spontaneous symmetry breaking and…

Differential Geometry · Mathematics 2020-07-27 M. J. D. Hamilton

Here I briefly discuss why supersymmetry is considered a leading candidate of physics beyond the standard model. I also highlight the salient features of different supersymmetry breaking models. A few other symmetries, broken or intact,…

High Energy Physics - Phenomenology · Physics 2007-05-23 Gautam Bhattacharyya

In this lecture we discuss the basic ingredients for gauge invariant quantum field theories. We give an introduction to the elements of quantum field theory, to the construction of the basic Lagrangian for a general gauge theory, and…

High Energy Physics - Phenomenology · Physics 2010-12-20 W. Hollik

In this letter we consider the distinctive phenomenology of supersymmetric models in which the scale of SUSY breaking is very low, \sqrt{F}= O(TeV), focusing on the Higgs sector and the process of electroweak breaking. Using an effective…

High Energy Physics - Phenomenology · Physics 2016-09-26 Ignacio Navarro

So far, the Standard Model of particle physics (SM) describes the phenomenology observed in high energy physics. In the Large Hadron Collider (LHC) is expected to find the Higgs boson, which is an essential part of SM; also expects to see…

General Physics · Physics 2010-05-04 O. E. Casas B , A. M. Raba P. , N. Poveda T

We present a bottom-up approach to the question of supersymmetry breaking in the MSSM. Starting with the experimentally measurable low-energy supersymmetry breaking parameters, which can take any values consistent with present experimental…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Carena , P. H. Chankowski , M. Olechowski , S. Pokorski , C. E. M. Wagner

A review of the soft supersymmetry-breaking parameters and the $\mu$ term arising in superstring models is performed paying special attention to their phenomenological implications. In particular, the violation of the scalar mass…

High Energy Physics - Phenomenology · Physics 2007-05-23 C. Munoz

Theories with gauge-mediated supersymmetry breaking provide an interesting alternative to the scenario in which the soft terms of the low-energy fields are induced by gravity. These theories allow for a natural suppression of flavour…

High Energy Physics - Phenomenology · Physics 2009-10-31 G. F. Giudice , R. Rattazzi

This is a very pedagogical review of supersymmetry phenomenology, given at ICTP Summer School in 1999, aimed mostly at students who had never studied supersymmetry before. It starts with an analogy that the reason why supersymmetry is…

High Energy Physics - Phenomenology · Physics 2007-05-23 Hitoshi Murayama

These are a set of lecture notes on generalized global symmetries in quantum field theory. The focus is on invertible symmetries with a few comments regarding non-invertible symmetries. The main topics covered are the basics of higher-form…

We recall how the idea of Softly Broken Supersymmetry led to the construction of the Supersymmetric Standard Model in 1981. Its first prediction, the supersymmetric unification of gauge couplings, was conclusively verified by the LEP and…

High Energy Physics - Theory · Physics 2009-11-07 Savas Dimopoulos

With the aim of uncovering viable regions of parameter space in deflected mirage mediation (DMM) models of supersymmetry breaking, we study the landscape of particle mass hierarchies for the lightest four non-Standard Model states for DMM…

High Energy Physics - Phenomenology · Physics 2012-01-26 Baris Altunkaynak , Brent D. Nelson , Lisa L. Everett , Yongyan Rao , Ian-Woo Kim

A concise introduction to the Standard Model of fundamental particle interactions is presented.

High Energy Physics - Phenomenology · Physics 2007-05-23 Guido ALTARELLI

We have studied the reconstruction of supersymmetric theories at high scales by evolving the fundamental parameters from the electroweak scale upwards. Universal minimal supergravity and gauge mediated supersymmetry breaking have been taken…

High Energy Physics - Phenomenology · Physics 2009-10-31 G. A. Blair , W. Porod , P. M. Zerwas