Download Weak Scale Supersymmetry by Howard Baer PDF
By Howard Baer
Supersymmetric types of particle physics expect new superpartner subject states for every particle within the commonplace version. those superpartners may have broad ranging implications, from cosmology to observations at excessive power accelerators, reminiscent of CERN's LHC. during this textual content, the authors strengthen the elemental recommendations of supersymmetry and express the way it should be included right into a theoretical framework for describing unified theories of straightforward debris. They advance the technical instruments of supersymmetry utilizing four-component spinor notation accepted to excessive power experimentalists and phenomenologists. The textual content takes the reader from an summary formalism to a simple recipe for writing supersymmetric gauge theories of particle physics, and finally to the calculations valuable for functional purposes at colliders and in cosmology. it is a complete, functional and obtainable advent to supersymmetry for experimental and phenomenological particle physicists and graduate scholars. workouts and labored examples that make clear the fabric are interspersed all through.
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Extra resources for Weak Scale Supersymmetry
Example text
Although we have illustrated the cancellation of quadratic divergences with just a few examples, it is important to stress that this is a general feature of supersymmetric theories. 7, this cancellation of quadratic divergences occurs to all orders in perturbation theory. 1 Rotations In classical mechanics, rotations of three-vectors can be represented by a rotation matrix R acting upon vectors such as x = (x, y, z) as xi → xi = Ri j x j . 2) where the direction of θ is along the axis about which the rotation occurs, and its magnitude is the rotation angle.
Zumino, Nucl. Phys. B70, 39 (1974). This is not, however, the first paper on (relativistic) spacetime supersymmetry. This distinction belongs to Y. Golfand and E. Likhtman, JETP Lett. 13, 323 (1971) who introduced the supersymmetric extension of the Poincar´e algebra. Motivated by the possibility that the neutrino could be the Goldstone fermion (see Chapter 7) associated with the spontaneous breakdown of a fermionic symmetry, D. Volkov and V. Akulov, JETP Lett. 16, 621 (1972) and Phys. Lett. B46, 109 (1973) independently constructed a model with non-linearly realized supersymmetry.
6) This is the Lagrangian for free fields A, B, and ψ. When these fields obey their respective equations of motion, their quanta correspond to two spin zero particles A and B, and a self-conjugate, spin 12 particle, all with the same mass. Once again, we see that there is an exact match between the bosonic and fermionic degrees of freedom. 2 SUSY transformations and invariance of the action In quantum field theory, a symmetry transformation is a transformation which leaves the equations of motion for the fields of the theory invariant.