Probing theWWγvertex at the Fermilab Tevatron Collider

A detailed analysis of $W\gamma$ production and radiative $W$ decays at the Fermilab Tevatron is presented for general $\mathrm{WW}\gamma$ couplings. Possibilities to test the gauge structure of the $\mathrm{WW}\gamma$ vertex are explored. At the Tevatron, for an integrated luminosity of 100 ${\mathrm{pb}}^{-1\mathrm{}}$, the $\mathrm{WW}\gamma$ vertex can be measured with 25-40% accuracy in $W\gamma$ production. The limits which can be obtained from radiative $W$ decays are found to be significantly weaker.