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Mu Problem
In theoretical physics, the problem is a problem of supersymmetry, supersymmetric theories, concerned with understanding the parameters of the theory. Background The supersymmetric Peter Higgs, Higgs mass parameter appears as the following term in the superpotential: 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 and get a non-zero vacuum expectation value after electroweak symmetry breaking, 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 (physics), cutoff scale. This brings about a problem of Naturalness (particle physics), naturalness: Why is that scale so much smaller than the cutoff scale? And why, if the term in the superpotential has different physical origins, do the corresponding scale happen to fall so close to each other? Befo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Supersymmetry
In a supersymmetric theory the equations for force and the equations for matter are identical. In theoretical and mathematical physics, any theory with this property has the principle of supersymmetry (SUSY). Dozens of supersymmetric theories exist. Supersymmetry is a spacetime symmetry between two basic classes of particles: bosons, which have an integer-valued spin and follow Bose–Einstein statistics, and fermions, which have a half-integer-valued spin and follow Fermi–Dirac statistics. In supersymmetry, each particle from one class would have an associated particle in the other, known as its superpartner, the spin of which differs by a half-integer. For example, if the electron exists in a supersymmetric theory, then there would be a particle called a ''"selectron"'' (superpartner electron), a bosonic partner of the electron. In the simplest supersymmetry theories, with perfectly " unbroken" supersymmetry, each pair of superpartners would share the same mass and intern ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Spontaneous Symmetry Breaking
Spontaneous symmetry breaking is a spontaneous process of symmetry breaking, by which a physical system in a symmetric state spontaneously ends up in an asymmetric state. In particular, it can describe systems where the equations of motion or the Lagrangian obey symmetries, but the lowest-energy vacuum solutions do not exhibit that same symmetry. When the system goes to one of those vacuum solutions, the symmetry is broken for perturbations around that vacuum even though the entire Lagrangian retains that symmetry. Overview By definition, spontaneous symmetry breaking requires the existence of physical laws (e.g. quantum mechanics) which are invariant under a symmetry transformation (such as translation or rotation), so that any pair of outcomes differing only by that transformation have the same probability distribution. For example if measurements of an observable at any two different positions have the same probability distribution, the observable has translational symmetry. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Little Hierarchy Problem
In particle physics the little hierarchy problem in the Minimal Supersymmetric Standard Model (MSSM) is a refinement of the hierarchy problem. According to quantum field theory, the mass of the Higgs boson must be rather light for the electroweak theory to work. However, the loop corrections to the mass are naturally much greater; this is known as the hierarchy problem. New physical effects such as supersymmetry may in principle reduce the size of the loop corrections, making the theory natural. However, it is known from experiments that new physics such as superpartners does not occur at very low energy scales, so even if these new particles reduce the loop corrections, they do not reduce them enough to make the renormalized Higgs mass completely natural. The expected value of the Higgs mass is about 10 percent of the size of the loop corrections which shows that a certain "little" amount of fine-tuning seems necessary. Particle physicists have different opinions as to whether th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Hierarchy Problem
In theoretical physics, the hierarchy problem is the problem concerning the large discrepancy between aspects of the weak force and gravity. There is no scientific consensus on why, for example, the weak force is 1024 times stronger than gravity. Technical definition A hierarchy problem occurs when the fundamental value of some physical parameter, such as a coupling constant or a mass, in some Lagrangian is vastly different from its effective value, which is the value that gets measured in an experiment. This happens because the effective value is related to the fundamental value by a prescription known as renormalization, which applies corrections to it. Typically the renormalized value of parameters are close to their fundamental values, but in some cases, it appears that there has been a delicate cancellation between the fundamental quantity and the quantum corrections. Hierarchy problems are related to fine-tuning problems and problems of naturalness. Over the past decade ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Doublet–triplet Splitting Problem
In particle physics, the doublet–triplet (splitting) problem is a problem of some Grand Unified Theories, such as SU(5), SO(10), and E_6. Grand unified theories predict Higgs bosons (doublets of SU(2)) arise from representations of the unified group that contain other states, in particular, states that are triplets of color. The primary problem with these color triplet Higgs is that they can mediate proton decay in supersymmetric theories that are only suppressed by two powers of GUT scale (i.e. they are dimension 5 supersymmetric operators). In addition to mediating proton decay, they alter gauge coupling unification. The doublet–triplet problem is the question 'what keeps the doublets light while the triplets are heavy?' Doublet–triplet splitting and the μ-problem In 'minimal' SU(5), the way one accomplishes doublet–triplet splitting is through a combination of interactions \int d^2\theta \; \lambda H_ \Sigma H_ + \mu H_ H_ where \Sigma is an adjoint of SU(5) and is ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Minimal Supersymmetric Standard Model
The Minimal Supersymmetric Standard Model (MSSM) is an extension to the Standard Model that realizes supersymmetry. MSSM is the minimal supersymmetrical model as it considers only "the inimumnumber of new particle states and new interactions consistent with "Reality". Supersymmetry pairs bosons with fermions, so every Standard Model particle has a superpartner yet undiscovered. If discovered, such superparticles could be candidates for dark matter, and could provide evidence for grand unification or the viability of string theory. The failure to find evidence for MSSM using the Large Hadron Collider has strengthened an inclination to abandon it. Background The MSSM was originally proposed in 1981 to stabilize the weak scale, solving the hierarchy problem. The Higgs boson mass of the Standard Model is unstable to quantum corrections and the theory predicts that weak scale should be much weaker than what is observed to be. In the MSSM, the Higgs boson has a fermionic superpartne ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
NMSSM
In particle physics, NMSSM is an acronym for Next-to-Minimal Supersymmetric Standard Model. It is a supersymmetric extension to the Standard Model that adds an additional singlet chiral superfield to the MSSM and can be used to dynamically generate the \mu term, solving the \mu-problem. Articles about the NMSSM are available for review. The Minimal Supersymmetric Standard Model does not explain why the \mu parameter in the superpotential term \mu H_u H_d is at the electroweak scale. The idea behind the Next-to-Minimal Supersymmetric Standard Model is to promote the \mu term to a gauge singlet, chiral superfield S. Note that the scalar superpartner of the singlino S is denoted by \hat and the spin-1/2 singlino superpartner by \tilde in the following. The superpotential for the NMSSM is given by :W_=W_+\lambda S H_u H_d + \frac S^3 where W_ gives the Yukawa couplings for the Standard Model fermions. Since the superpotential has a mass dimension of 3, the couplings \lambda and ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Kahler Potential
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Kahler may refer to: Places *Kahler, Luxembourg, a small town in the commune of Garnich *Kahler Asten, a German mountain range Other uses *Kahler (surname) *Kahler's disease, a cancer otherwise known as ''multiple myeloma'' *Kahler Tremolo System, a type of bridge hardware for electric guitars *''Kahler v. Kansas'', a 2019 United States Supreme Court case See also *Kähler (other) Kähler may refer to: ;People *Alexander Kähler (born 1960), German television journalist *Birgit Kähler (born 1970), German high jumper *Erich Kähler (1906–2000), German mathematician *Heinz Kähler (1905–1974), German art historian and arc ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Supersymmetry Breaking
In particle physics, supersymmetry breaking is the process to obtain a seemingly non-supersymmetric physics from a supersymmetric theory which is a necessary step to reconcile supersymmetry with actual experiments. It is an example of spontaneous symmetry breaking. In supergravity, this results in a slightly modified counterpart of the Higgs mechanism where the gravitinos become massive. Supersymmetry breaking occurs at supersymmetry breaking scale. The superpartners, whose mass would otherwise be equal to the mass of the regular particles in the absence of the SUSY breaking, become much heavier. In the domain of applicability of stochastic differential equations including, e.g, classical physics, spontaneous supersymmetry breaking encompasses such nonlinear dynamical phenomena as chaos theory, chaos, turbulence, pink noise, etc. Supersymmetry breaking scale In particle physics, supersymmetry breaking scale is the energy scale where supersymmetry breaking takes place. If sup ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
F-term
In theoretical physics, one often analyzes theories with supersymmetry in which F-terms play an important role. In four dimensions, the minimal N=1 supersymmetry may be written using a superspace. This superspace involves four extra fermionic coordinates \theta^1,\theta^2,\bar\theta^1,\bar\theta^2, transforming as a two-component spinor and its conjugate. Every superfield—i.e. a field that depends on all coordinates of the superspace—may be expanded with respect to the new fermionic coordinates. There exists a special kind of superfields, the so-called chiral superfields, that only depend on the variables \theta but not their conjugates. The last term in the corresponding expansion, namely F \theta^1\theta^2, is called the F-term. Applying an infinitesimal supersymmetry transformation to a chiral superfield results in yet another chiral superfield whose F-term, in particular, changes by a total derivative. This is significant because then \int is invariant under SUSY transfo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Gian Francesco Giudice
Gian Francesco Giudice (born January 25, 1961) is an Italian theoretical physicist working at CERN in particle physics and cosmology. Academic career After graduating in physics from the University of Padua in 1984, Giudice obtained in 1988 his PhD in theoretical physics from the International School for Advanced Studies in Trieste. Between 1988 and 1990 he was Research Associate at the Fermi National Accelerator Laboratory near Chicago. Between 1990 and 1992 he was Research Fellow in the Physics Department of the University of Texas at Austin, in the group led by Steven Weinberg. After being employed by the Istituto Nazionale di Fisica Nucleare of Italy, in 1993 he moved to CERN, where he is currently the Head of the Theoretical Physics Department. Academician of thIstituto Veneto di Scienze, Lettere ed Artiand of Accademia Galileiana, he has been awarded the 201Jacques Solvay Chairin Physics. Research The research activity of Giudice mainly deals with the formulation of new the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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