Rapidity Correlations in $Wγ$ Production at Hadron Colliders

We study the correlation of photon and charged lepton pseudorapidities, $η(γ)$ and $η(\ell)$, $\ell=e,\,μ$, in $p\,\pbar \rightarrow W^\pmγ+X\rightarrow \ell^\pm p\llap/_Tγ+X$. In the Standard Model, the $Δη(γ,\ell)= η(γ) - η(\ell)$ differential cross section is found to exhibit a pronounced dip at $Δη(γ,\ell) \approx \mp 0.3$ ($=0$)in $p\bar p$ ($pp$) collisions, which originates from the radiation zero present in $q\bar q'\rightarrow Wγ$. The sensitivity of the $Δη(γ,\ell)$ distribution to higher order QCD corrections, non-standard $WWγ$ couplings, the $W+$~jet ``fake'' background and the cuts imposed is explored. At hadron supercolliders, next-to-leading order QCD corrections are found to considerably obscure the radiation zero. The advantages of the $Δη(γ,\ell)$ distribution over other quantities which are sensitive to the radiation zero are discussed. We conclude that photon lepton rapidity correlations at the Tevatron offer a {\it unique} opportunity to search for the Standard Model radiation zero in hadronic $Wγ$ production.

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