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Slepton production as a probe of the squark mass scale


We investigate an important radiative correction to the slepton and chargino production processes. We consider a supersymmetric spectrum with a large splitting between the squark and slepton masses. In this case, in the effective theory below the squark mass threshold, the supersymmetric Slavnov-Taylor identities which enforce the equality of the gauge and gaugino couplings are violated. The gaugino propagators receive potentially large corrections due to virtual quark/squark loop effects. We compute the full one-loop (s)quark corrected slepton production cross-sections. The $t$-channel one-loop scattering amplitudes are factorized into an effective chargino/neutralino mass matrix and an effective fermion-sfermion-gaugino coupling. The difference between the effective gaugino coupling and the gauge coupling is proportional to $\log (M_{\tilde{Q}}/m_{\tilde{\ell}})$ in the large squark mass limit. We find that the one-loop corrected slepton production cross-sections can depend on the squark mass strongly, up to $9\% \times \log_{10}(M_{\tilde{Q}}/m_{\tilde{\ell}})$. We investigate the squark mass sensitivity of the slepton cross-section measurements at a future linear collider. For sneutrino production accessible at $\sqrt{s}= 500$ GeV there can be sensitivity to squark masses at or larger than 1 TeV.

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