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\subsection{Direct search for New Physics} new physics}  As seen above, the case for $\epem$ collisions with centre-of-mass energy above 350 GeV is not compelling for the study of the H(126) particle alone. A stronger motivation would exist if a new particle were found (or inferred) at LHC during the next run at 13-14 TeV, if and only if $\epem$ collisions could bring substantial new information about it.