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We examine the prospects for measuring the \gaga branching fraction of aStandard Model-like Higgs boson with a mass of 120 GeV at the future TESLAlinear \ee collider, assuming an integrated luminosity of 1 ab$^{-1}$ andcenter-of-mass energies of 350 GeV and 500 GeV. The Higgs boson is produced inassociation with a fermion pair via the Higgsstrahlung process \ee $\to ZH$,with $Z \to$ \qq or \nn, or the WW fusion reaction $e^+e^- \to \nu_e\bar{\nu_e} H$. A relative uncertainty on BF(\hgg) of~16% can be achieved inunpolarized \ee collisions at $\sqrt{s}$=~500 GeV, while for $\sqrt{s}$=~350GeV the expected precision is slightly poorer. With appropriate initial statepolarizations $\Delta$BF(\hgg)/BF(\hgg) can be improved to 10%. If thismeasurement is combined with the expected error for the total Higgs width, aprecision of 10% on the \gaga Higgs boson partial width appears feasible.

Measuring the Higgs branching fraction into two photons at future linear ${\mathrm e}^+{\mathrm e}^-$ colliders