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Profiles of the unitarity triangle and CP-violating phases in the standard model and supersymmetric theories

  • A. Ali
  • D. London
Theoretical physics

Abstract.

We report on a comparative study of the profile of the CKM unitarity triangle, and the resulting CP asymmetries in B decays, in the standard model and in several variants of the minimal supersymmetric standard model (MSSM), characterized by a single phase in the quark flavour mixing matrix. The supersymmetric contributions to the mass differences \(\Delta M_d\), \(\Delta M_s\) and to the CP-violating quantity \(\vert\epsilon\vert\) are, to an excellent approximation, equal to each other in these theories, allowing for a particularly simple way of implementing the resulting constraints on the elements of \(V_{CKM}\) from the present knowledge of these quantities. Incorporating the next-to-leading-order corrections and applying the current direct and indirect constraints on the supersymmetric parameters, we find that the predicted ranges of \(\sin 2 \beta\) in the standard model and in MSSM models are very similar. However, precise measurements at B-factories and hadron machines may be able to distinguish these theories in terms of the other two CP-violating phases \(\alpha\) and \(\gamma\). This is illustrated for some representative values of the supersymmetric contributions in \(\Delta M_d\), \(\Delta M_s\) and \(\vert \epsilon\vert\).

Keywords

Single Phase Minimal Supersymmetric Standard Model Precise Measurement Mass Difference Present Knowledge 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1999

Authors and Affiliations

  • A. Ali
    • 1
  • D. London
    • 1
  1. 1. Deutsches Elektronen Synchrotron DESY, Hamburg, Germany DE

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