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<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>W</mml:mi><mml:mi>γ</mml:mi><mml:mi>γ</mml:mi></mml:math>production at the Fermilab Tevatron collider: Gauge invariance and radiation amplitude zero
The electroweak process $p\overline{p}{\mathcal{l}}^{\ifmmode\pm\else\textpm\fi{}}\ensuremath{\nu}\ensuremath{\gamma}\ensuremath{\gamma}$ is calculated at the tree level, including finite $W$ width effects. In order to obtain a gauge-invariant amplitude, the imaginary parts of $\mathrm{WW}\ensuremath{\gamma}$ triangle graphs and $\mathrm{WW}\ensuremath{\gamma}\ensuremath{\gamma}$ box diagrams have to be included, in addition to resumming the imaginary contributions to the $W$ vacuum polarization. We …