Supersymmetric quantum field theory

Mu problem

In theoretical physics, the μ problem is a problem of supersymmetric theories, concerned with understanding the parameters of the theory. The supersymmetric Higgs mass parameter μ appears as the following term in the superpotential: μHuHd. It is necessary to provide a mass for the fermionic superpartners of the Higgs bosons, i.e. the higgsinos, and it enters as well the scalar potential of the Higgs bosons. To ensure that Hu and Hd get a non-zero vacuum expectation value after electroweak symmetry breaking, μ should be of the order of magnitude of the electroweak scale, many orders of magnitude smaller than the Planck scale, which is the natural cutoff scale. This brings about a problem of naturalness: why is that scale so much smaller than the cutoff scale? And why, if the μ term in the superpotential has different physical origins, do the corresponding scale happen to fall so close to each other? Before LHC, it was thought that the soft supersymmetry breaking terms should also be of the same order of magnitude as the electroweak scale. This was negated by the Higgs mass measurements and limits on supersymmetry models. One proposed solution, known as the Giudice–Masiero mechanism, is that this term does not appear explicitly in the Lagrangian, because it violates some global symmetry, and can therefore be created only via spontaneous breaking of this symmetry. This is proposed to happen together with F-term supersymmetry breaking, with a spurious field X that parameterizes the hidden supersymmetry-breaking sector of the theory (meaning that FX is the non-zero F-term). Let us assume that the Kahler potential includes a term of the form times some dimensionless coefficient which is naturally of order one where Mpl is Planck mass. Then as supersymmetry breaks, FX gets a non-zero vacuum expectation value ⟨FX⟩ and the following effective term is added to the superpotential: , which gives a measured . On the other hand, soft supersymmetry breaking terms are similarly created and also have a natural scale of . (Wikipedia).

Video thumbnail

C51 Example problem of a system of linear DEs

Example problem solving a system of linear differential equations.

From playlist Differential Equations

Video thumbnail

C49 Example problem solving a system of linear DEs Part 1

Solving an example problem of a system of linear differential equations, where one of the equations is not homogeneous. It's a long problem, so this is only part 1.

From playlist Differential Equations

Video thumbnail

B06 Example problem with separable variables

Solving a differential equation by separating the variables.

From playlist Differential Equations

Video thumbnail

B07 Example problem with separable variables

Solving a differential equation by separating the variables.

From playlist Differential Equations

Video thumbnail

C56 Continuation of previous problem

Adding a bit more depth to the previous problem.

From playlist Differential Equations

Video thumbnail

Solve the general solution for differentiable equation with trig

Learn how to solve the particular solution of differential equations. A differential equation is an equation that relates a function with its derivatives. The solution to a differential equation involves two parts: the general solution and the particular solution. The general solution give

From playlist Differential Equations

Video thumbnail

B04 Example problem with separable variables

Solving a differential equation by separating the variables.

From playlist Differential Equations

Video thumbnail

B05 Example problem with separable variables

Solving a differential equation by separating the variables.

From playlist Differential Equations

Video thumbnail

Let's Learn Physics: Fan Friction

Friction is ever-abundant in our world, so we should be able to write down some laws which describe the physics of friction. In this stream, we will introduce both static friction and kinetic friction and solve problems involving both!

From playlist Let's Learn (Classical) Physics: ZAP Physics Livestreams

Video thumbnail

C50 Example problem solving a system of linear DEs Part 2

Part 2 of the prvious example problem, solving a system of linear differential equations, where one of the equations is non-homogeneous.

From playlist Differential Equations

Video thumbnail

The Embedding Problem of Infinitely Divisible Probability Measures on Groups by Riddhi Shah

PROGRAM : ERGODIC THEORY AND DYNAMICAL SYSTEMS (HYBRID) ORGANIZERS : C. S. Aravinda (TIFR-CAM, Bengaluru), Anish Ghosh (TIFR, Mumbai) and Riddhi Shah (JNU, New Delhi) DATE : 05 December 2022 to 16 December 2022 VENUE : Ramanujan Lecture Hall and Online The programme will have an emphasis

From playlist Ergodic Theory and Dynamical Systems 2022

Video thumbnail

EM Algorithm : Data Science Concepts

I really struggled to learn this for a long time! All about the Expectation-Maximization Algorithm. My Patreon : https://www.patreon.com/user?u=49277905 0:00 The Intuition 9:15 The Math

From playlist Data Science Concepts

Video thumbnail

Shrawan Kumar: Root components for tensor product of affine Kac-Moody Lie algebra modules

SMRI Algebra and Geometry Online: Shrawan Kumar (University of North Carolina) Abstract: This is a joint work with Samuel Jeralds. Let 𝔤 be an affine Kac-Moody Lie algebra and let λ, µ be two dominant integral weights for 𝔤. We prove that under some mild restriction, for any positive root

From playlist SMRI Algebra and Geometry Online

Video thumbnail

What is General Relativity? Lesson 27: Effective Potential

What is General Relativity? Lesson 27: Effective Potential Errata: note that I took an incorrect derivative at around 36:40. The plus should be a minus and the second term is missing a factor of two. I correct it eventually.....

From playlist What is General Relativity?

Video thumbnail

27th Imaging & Inverse Problems (IMAGINE) OneWorld SIAM-IS Virtual Seminar Series Talk

Date: Wednesday, June 9, 2021, 10:00am Eastern Time Zone (US & Canada) Speaker: Laurent Seppecher, École Centrale de Lyon Title: Stability an discretization techniques for some elliptic inverse parameter problems from internal data in elastography - application to breast tumors detection

From playlist Imaging & Inverse Problems (IMAGINE) OneWorld SIAM-IS Virtual Seminar Series

Video thumbnail

Eilam Gross: Statistics for High Energy Physics 📊 2/3⎪CERN

The lectures emphasize the frequentist approach used for Dark Matter search and the Higgs search, discovery and measurements of its properties. An emphasis is put on hypothesis test using the asymptotic formulae formalism and its derivation, and on the derivation of the trial factor formu

From playlist CERN Academic Lectures

Video thumbnail

B09 Example problem with a linear equation

Solving a linear differential equation

From playlist Differential Equations

Video thumbnail

Mod-03 Lec-10 First Order Linear Equations

Ordinary Differential Equations and Applications by A. K. Nandakumaran,P. S. Datti & Raju K. George,Department of Mathematics,IISc Bangalore.For more details on NPTEL visit http://nptel.ac.in.

From playlist IISc Bangalore: Ordinary Differential Equations and Applications | CosmoLearning.org Mathematics

Related pages

Minimal Supersymmetric Standard Model | Higgsino | Cutoff (physics) | Supersymmetry | Superpartner | F-term | Little hierarchy problem | Spontaneous symmetry breaking | Supersymmetry breaking | Superpotential