  Tev scale new heavy physics could significantly affect the cross-section for
the rare process $e^+e^-\to H\gm $ through non-renormalizable operators
involving the light SM fields. In this article we show that for $\sqs =500$ Gev
and $\lam =1$ Tev some of these operators, which are only weakly constrained by
the latest LEP and SLD data, could produce an observable number of events for
$m_H$ lying in the range 200-500 Gev. Whereas for $\lam =5$ Tev although no
event with $m_H\le 250$ Gev is likely to be seen, for moderately heavy higgs
bosons with $m_H$ lying in the range (400-500) Gev the production rate will be
large enough to be detectable.
