Effect of Tev scale new physics on the cross-section for the process e^+ e^- --> h \gamma

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.