"21. L1T HCAL delayed tower efficiency vs Timing shift [ns]" of "Strategy and performance of the CMS long-lived particle trigger program in proton-proton collisions at $\sqrt{s}$ = 13.6 TeV"

The L1T HCAL trigger tower efficiency of the delayed timing towers in 2023 HCAL timing-scan data, with efficiencies split by trigger towers centered at $\eta\approx 0$ (blue circles), 0.65 (red squares), 1.26 (black triangles), and with width $\Delta \eta = 0.087$. The sharp rise in efficiency between timing delays of 0-6 ns is expected, as the prompt timing range includes pulses up to and including those recorded at a 6 ns arrival time (reported in half-ns steps by the TDC), demonstrating the timing trigger performance. The delayed timing towers must have at least one delayed cell, no prompt cells, and energy ${>} 4$ GeV. The efficiency is calculated relative to towers with any valid timing code, meaning the tower contains at least one cell with energy ${>} 4$ GeV and a TDC code of prompt, slightly delayed, or very delayed. Multiple delayed or displaced towers are required for the HCAL-based displaced- and delayed-jet L1T to pass, and this shows the efficiency at a per-tower level relative to incoming pulse timing.