Self-Organization and Entropy Decreasing in Neural Networks

In the minimal supersymmetric standard model, assuming universal scalar masses at large energies, there are four intragenerational relations between the masses of the squarks and sleptons for each light generation. In this paper we study the scalar mass relations which follow only from the assumption that at large energies there is a grand unified theory which leads to a significant prediction of the weak mixing angle. Two new intragenerational mass relations for each of the light generations are derived. In addition, a third mass relation is found which relates the Higgs masses, the masses of the third generation scalars , and the masses of the scalars of the lighter generations. Verification of a fourth mass relation, involving only the charged slepton masses, provides a signal for SO(10) unification.

show abstract

“…Mass splittings arise from renormalization group scaling from Planck to weak scales [8], and the renormalization group equations are given by…”

Section: Scalar Mass Relations In a Class Of Grand Unified Theoriesmentioning

confidence: 99%

Squark and slepton mass relations in grand unified theories

Cheng

Hall

1995

Phys. Rev. D

View full text Add to dashboard Cite

show abstract

“…Let us recall here that the weak hypercharge D-terms add an extra contribution in the scale evolution of scalars masses [22],…”

Section: Renormalization Group Analysismentioning

confidence: 99%

Flavor-changing neutral current constraints on standardlike orbifold models

Brax

Chemtob

1995

Phys. Rev. D

View full text Add to dashboard Cite

We examine for standard-like orbifold compactification models the constraints due to quarks and leptons generation non-universality of soft supersymmetry breaking interactions. We follow the approach initiated by Ibáñez and Lüst and developed by Brignole, Ibáñez and Muñoz . This is based on a locally supersymmetric σ−model action of moduli and matter fields obeying the stringy duality symmetries. It is assumed that the low energy fields of the minimal supersymmetric standard model are in one-to-one correspondence with string massless modes and that supersymmetry breaking takes place simultaneously with the lifting of flat directions for dilaton and compactification moduli fields. The breaking of supersymmetry is represented in terms of dilaton and moduli auxiliary field components and, consistently with a vanishing cosmological constant, is parametrized in terms of the dilaton-moduli mixing angle θ and the gravitino mass scale m g . The soft supersymmetry breaking interactions (gaugino masses, squarks and sleptons mass matrices, scalars interactions A and B coupling constants) are calculable as a function of these parameters and of the discrete set of modular weight parameters specifying the modular transformation properties of the low energy fields. To establish the flavor changing neutral current constraints we solve the renormalization group one-loop equations for the full set of gauge, Yukawa and supersymmetry breaking coupling constants. A simplified version is used in which one treats the contributions from the third generation quarks and lepton Yukawa couplings exactly, while retaining for the first and second generations couplings only the leading order term in the large logarithm variable. Numerical results are obtained for the quantities ∆ M N = V Mm 2 M N V † N , corresponding to the mass matrices of squarks and sleptons in the super-CKM basis, for which experimental bounds can be determined via the super-box and super-penguin diagrams with gluino or neutralino exchange.

show abstract

“…The running of the renormalization group equations with at least one soft SUSY breaking parameter non-zero and the top quark Yukawa coupling turn the determinant of the Higgs mass matrix (and specifically the H 2 running (mass) 2 ) negative which triggers the breaking of the electroweak symmetry. The minimization conditions for the scalar potential with respect to the Higgs VEVs v 1,2 = H 1,2 at the electro-weak scale provides the following two relations [13] …”

Section: Sugra Unificationmentioning

confidence: 99%

“…However, the structure of the matrix reveals that there are regions where some Zinos may be mostly either gauginos or Higgsinos. For the sfermions it is found that the masses receive contributions from the D terms and from the gaugino loop corrections so that at low energy one has, example forũ L [19,13], (26) and forũ R one has…”

Section: Sugra Unificationmentioning

confidence: 99%

“…In SUGRA unification one starts at the GUT scale with prescribed boundary conditions on the gauge coupling constants, Yukawa couplings and on the soft parameters. The evolution of these parameters from the GUT scale down to the electro-weak scale turns the determinant of the Higgs mass square matrix negative which triggers the breaking of the electro-weak symmetry [13]. In the framework of MSSM there are two Higgs doublets in the theory, one which gives mass to the up quark and the other which gives mass to the down quark.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Supergravity unification

Chamseddine¹,

Arnowitt²,

Nath³

2001

Nuclear Physics B - Proceedings Supplements

View full text Add to dashboard Cite

A review is given of the historical developments of 1982 that lead to the supergravity unified model (SUGRA) with gravity mediated breaking of supersymmetry. Further developments and applications of the model in the period 1982-85 are also discussed. The supergravity unified model and its minimal version (mSUGRA) are currently among the leading candidates for physics beyond the Standard Model. A brief note on the developments from the present vantage point is included.

show abstract

Self-Organization and Entropy Decreasing in Neural Networks

Cited by 123 publications

References 0 publications

Squark and slepton mass relations in grand unified theories

Squark and slepton mass relations in grand unified theories

Flavor-changing neutral current constraints on standardlike orbifold models

Supergravity unification

Contact Info

Product

Resources

About