Speaker
Description
We analyze Higgs decay $H \rightarrow f \overline{f}$ allowing for final states with nonzero angular momentum ("twisted" states). We construct the two-particle wavefunction from the S-matrix element in momentum space and transform it to coordinates. In the Higgs rest frame the wavefunction depends solely on the relative coordinate $r$ and the spin orientations, enabling a spherical-harmonic decomposition that isolates partial waves and their spin-orbit structure. We obtain compact angular factors controlled by the projections $\vec{\xi}_1 \cdot \hat{r}, \vec{\xi}_2 \cdot \hat{r}$ and $\vec{\xi}_1 \cdot \vec{\xi}_2$. The results demonstrate how spin-orbit coupling manifests in scalar boson decays and provide a theoretical framework for analyzing twisted fermion states in high-energy processes.
