Tuesday 20th April 1999
                                              Ian Tomalin

                MINUTES OF THE 30TH BEW MEETING
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Agenda
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Two talks providing limits on extra spatial dimensions and 
TeV scale quantum gravity -

  Ian Tomalin: Limits from e+e- -> f-fbar production.
  Alan Litke : Limits from e+e- -> gamma + missing energy 
                      and  e+e- -> gamma gamma        

Ian Tomalin: Limits from e+e- -> f-fbar production
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Using the measured difermion cross sections and asymmetries,
lower limits of about 1 TeV can be placed on the parameter Lambda,
which represents the scale at which gravity unifies with the
other SM forces. 
  A detailed description of the analysis can be found in ALEPH 99-036.

Alan Litke : Limits from e+e- -> gamma + missing energy and  
             e+e- -> gamma gamma        
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Together with Gary Taylor, Alan has used e+e- -> gamma + missing
energy events to place upper limits upon the size "R" of the
extra spatial dimensions as a function of their number.
For two extra dimensions, they find that R < 5e-4 meters and for
six extra dimensions, that R < 7e-14 meters.
Using e+e- -> gamma gamma events, they place lower limits on
the parameter Lambda of about 0.8 TeV.
  A detailed description of the analysis can be found in ALEPH 99-028.