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Superconducting technology makes it possible to build a high energy $e^+e^-$linear collider with energy recovery (ERLC) and reusable beams. To avoidparasitic collisions inside the linacs, a twin (dual) LC is proposed. In thisarticle, I consider the principle scheme of the collider and estimate theachievable luminosity, which is limited by collision effects and availablepower. Such a collider can operate in a duty cycle (DC) and in a continuous(CW) modes, if sufficient power. With current SC Nb technology ($T=1.8$ K,$f_{\rm RF}=1.3$ GHz, used for ILC) and with power $P= 100$ MW, a luminosity $L\sim 0.33 \times10^{36}\,\rm cm^{-2}s^{-1}$ is possible at the Higgs factorywith $2E_0=250$ GeV. Using superconductors operating at 4.5 K with high $Q_0$values, such as Nb$_3$Sn, and $f_{\rm RF}=0.65$ GHz, the luminosity can reach$L \sim 1.4 \times10^{36} \,\rm cm^{-2}s^{-1}$ at $2E_0=250$ GeV (with P=100MW) and $L \sim 0.8 \times 10^{36}\,\rm cm^{-2}s^{-1}$ at $2E_0=500$ GeV (withP=150 MW), which is almost two orders of magnitude greater than at the ILC,where the beams are used only once. This technology requires additional effortsto obtain the required parameters and reliably operation. Such a collider wouldbe the best machine for precision Higgs studies, including the measurement ofHiggs self-coupling.

A high-luminosity superconducting twin $e^+e^-$ linear collider with energy recovery