Optimization of the 65 nm CMOS Linear front-end circuit for the CMS pixel readout at the HL-LHC

The linear front-end is the analog processor chosen for the final integration into the pixel readout chip for the high-luminosity upgrade of the CMS experiment at the large hadron collider. The front-end has been included in the RD53A chip, designed by the CERN RD53 collaboration and submitted in 2017. An optimized version of the front-end has been designed, submitted, and tested in the framework of the RD53B developments. The optimization is mainly concerned with the time-walk performance of the front-end and with its threshold tuning capabilities. The article describes in detail such design improvements together with the results from the characterization of a small prototype chip including a 16 $\times $ 16 pixel matrix featuring both the RD53A and RD53B versions of the front-end. Test results show a significant reduction, about 10 ns for input signals close to the threshold, of the time-walk in the RD53B front-end, featuring a threshold dispersion smaller than 65 electrons r.m.s. after exposure to a total ionizing dose of 1 Grad of X-rays.