Genuine SUSY signatures fromug→d˜χ˜i+andug→dW+, at high energies

Abstract

We analyze the quark-gluon induced process $ug\ensuremath{\rightarrow}\stackrel{\texttildelow{}}{d}{\stackrel{\texttildelow{}}{\ensuremath{\chi}}}_{i}^{+}$, including the one-loop electroweak effects in the minimal supersymmetric model. This process is dominated by ${\stackrel{\texttildelow{}}{d}}_{L}$-production and is determined by four helicity amplitudes, three of which are violating helicity conservation, and another one which respects it and is logarithmically enhanced at high energy. Combining this $ug\ensuremath{\rightarrow}{\stackrel{\texttildelow{}}{d}}_{L}{\stackrel{\texttildelow{}}{\ensuremath{\chi}}}_{i}^{+}$ analysis with a corresponding one for $ug\ensuremath{\rightarrow}d{W}^{+}$, we obtain simple approximate relations between the two processes, testing the minimal supersymmetric model structure at the amplitude and the cross section levels. These relations become exact at asymptotic energies and, provided the supersymmetry (SUSY) scale is not too heavy, they may be approximately correct at LHC energies also. In addition to these, we study the one-loop electroweak corrections to the inclusive $\stackrel{\texttildelow{}}{d}{\stackrel{\texttildelow{}}{\ensuremath{\chi}}}_{i}^{+}$ production at LHC, presenting as examples, the ${p}_{T}$ and angular distributions. Comparing these to the corresponding predictions for $W+\mathrm{\text{jet}}$ production derived earlier, provides an accurate test of the supersymmetric assignments.