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By Chen G.

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It describes the interaction of two real spin zero fields and a Majorana field with spin half. As before, the number of bosonic and fermionic degrees of freedom match. 2. There is a single mass parameter m common to all the fields. 3. Although the interaction structure of the model is very rich and includes parityconserving scalar and pseudoscalar interactions of the scalar A and pseudoscalar B with the fermion, as well as all possible (renormalizable) parity conserving trilinear and quartic scalar interactions, there is just one single coupling constant g.

Potentially larger superpotential contributions to the proton decay amplitude have to be controlled, however. Cold dark matter All supersymmetric models with a conserved R-parity quantum number include a stable massive particle which is usually electrically and color neutral, and so makes an excellent candidate for the observed cold dark matter in the Universe. Radiative breakdown of electroweak symmetry In the SM, electroweak symmetry breaking (EWSB) can be accommodated by appropriate choice of the parameters of the scalar potential, without any explanation for this choice.

Kaul, Phys. Lett. B109, 19 (1982). 20 What lies beyond the Standard Model? r Ultra-violet behavior and fine tuning We have already seen that, unlike the case of the Standard Model, the scalar potential of supersymmetric models is stable under radiative corrections, provided that supersymmetric particle masses are comparable to the weak scale. Supersymmetric grand unified models are thus technically natural. r Connection to gravity By elevating global supersymmetry transformations to local ones, one is forced into introducing a spin 2 massless gauge field, the graviton, which mediates gravitational interactions (together with its superpartner, the gravitino) in much the same way as local gauge invariance requires us to introduce gauge bosons.

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A Characterization of Alternating Groups by the Set of Orders of Maximal Abelian Subgroups by Chen G.

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