Improving Limits on Higgs Self-Coupling Interactions in the HH to bbττ Channel using Bayesian Optimization Binning Technique

The discovery of the Higgs boson helped in finding a missing piece of the Standard Model (SM) of particle physics and opened new opportunities to study the Higgs boson self-interaction, which is a key probe of the structure of the Higgs potential. Precise measurement of the Higgs self-coupling requires optimizing the statistical sensitivity of Higgs boson pair production. In this study, we explore binning optimization based on Bayesian approach to improve the expected limits on the Higgs self-coupling. The method aims to balance between histogram shape resolution (i.e. binning) and statistical sensitivity. We apply this approach to simulated Run-3 signal and background samples in the channel where two Higgs bosons decay into a bottom–antibottom quark pair and two hadronically decaying tau leptons (HH → bbττ), respectively. The preliminary results demonstrate that optimized binning can lead to improved expected exclusion limits compared to conventional fixed binning or varying, semi-optimized binning.