Abstract
We studied the $ep\rightarrow ep+2jets$ diffractive cross section with ZEUS phase space. Neglecting the $t$-channel momentum in the Born and gluon dipole impact factors, we calculated the corresponding contributions to the cross section differential in $\beta=\frac{Q^{2}}{Q^{2}+M_{2jets}^{2}}$ and the angle $\phi$ between the leptonic and hadronic planes. The gluon dipole contribution was obtained in the exclusive $k_{t}$-algorithm with the exclusive cut $y_{cut}=0.15$ in the small $y_{cut}$ approximation. In the collinear approximation we canceled singularities between real and virtual contributions to the $q\bar{q}$ dipole configuration, keeping the exact $y_{cut}$ dependency. We used the Golec-Biernat - W\"usthoff (GBW) parametrization for the dipole matrix element and linearized the double dipole contributions. The results give roughly $\frac{1}{2}$ of the observed cross section for small $\beta$ and coincides with it for large $\beta.$
Highlights
One of the main outcomes of the HERA research program is the evidence and detailed study of diffractive processes
Almost 10% of the γÃp → hadrons deep inelastic scattering (DIS) events were shown to contain a rapidity gap in the detectors between the proton remnants Y and the hadrons X coming from the fragmentation region of the initial virtual photon, namely the process was shown to look like γÃp → XY
We study in detail the cross section for exclusive dijet electroproduction in diffraction, as was recently reported by ZEUS [15]
Summary
One of the main outcomes of the HERA research program is the evidence and detailed study of diffractive processes. As is known [42], the aligned jets give the dominant contribution to the cross section, which in the presently studied kinematics is cut off Thanks to these cuts the typical transverse energy scale in the Born jet impact factor is greater than the t-channel transverse momentum scale set by the saturation scale Qs determined by the proton matrix element. Anyway in this paper we have calculated the contribution of all real radiative corrections from the third g − ðqq Þ area in the Dalitz plot, i.e., the gluon dipole contribution in the small Qs approximation, i.e., expanding the impact factors in the t-channel momenta.
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