Speaker
Description
One of the ultimate goals of future high-energy colliders is to uncover
the nature of electroweak symmetry breaking (EWSB). In particular, a
precise determination of the Higgs trilinear self-coupling,
$\kappa_3$, would provide crucial insight into the structure of the
Higgs potential and the mechanism of EWSB. We investigate the
sensitivity of multi-TeV muon colliders to $\kappa_3$ through
Higgs-pair production via the vector boson fusion (VBF) channel. We
consider the fully hadronic decay mode of the Higgs pair, $HH \to 4b$,
and analyze both the resolved and boosted kinematic regimes. A suite
of machine-learning techniques is employed to enhance the
signal-to-background discrimination and improve the statistical
significance. We find a substantial improvement in the sensitivity to
$\kappa_3$. By combining the resolved and boosted analyses, we obtain
the 68% confidence intervals $0.80 < \kappa_3 < 1.29$ at a 3-TeV muon
collider and $0.96 < \kappa_3 < 1.05$ at a 10-TeV muon collider.