# ms limit: the Amplitude*

- Express mixing probability as:
  R mix = 1 - A cos( ms t )
  1 Mixing
- A = Amplitude of oscillation
  0 No Mixing
- Likelihood = L( A, ms , gi )
  (gi = fs , f d , md , bckg., ,... )
- For any fixed ms :
  - fit A (maximise L wrt A )
  - vary gi systematics .
- Limit : A < 1 @ 95 % C.L.
  - A + 1.65 A < 1
- Combined Limit :
  - average A for different ms
- Sensitivity ( Luck):
  - limit obtained imposing A = 0
    * G.H. Moser, A.Roussarie N.I.M. A384 (1997) 491

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