The SM as the quantum low-energy effective theory of the MSSM |
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Authors: | A Dobado MJ Herrero S Peñaranda |
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Institution: | (1) Departamento de Física Teórica, Universidad Complutense de Madrid, 28040 Madrid, Spain, ES;(2) Departamento de Física Teórica, Universidad Autónoma de Madrid, Cantoblanco, 28049 Madrid, Spain, ES |
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Abstract: | In the framework of the minimal supersymmetric standard model we compute the one-loop effective action for the electroweak
bosons obtained after integrating out the different sleptons, squarks, neutralinos and charginos, and present the result in
terms of the physical sparticle masses. In addition we study the asymptotic behavior of the two-, three- and four-point Green's
functions with external electroweak bosons in the limit where the physical sparticle masses are very large in comparison with
the electroweak scale. We find that in this limit all the effects produced by the supersymmetric particles can either be absorbed
in the standard model parameters and gauge bosons wave functions, or else they are suppressed by inverse powers of the supersymmetric
particle masses. This work, therefore, completes the proof of decoupling of the heavy supersymmetric particles from the standard
ones in the electroweak bosons effective action and in the sense of the Appelquist–Carazzone theorem; we started this proof
in a previous work. From the point of view of effective field theories this work can be seen as a (partial) proof that the
SM can indeed be obtained from the MSSM as the quantum low-energy effective theory of the latter when the SUSY spectra are
much heavier than the electroweak scale.
Received: 27 March 1999 / Revised version: 7 September 1999 / Published online: 27 January 2000 |
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