Extensive dynamical $N/D$ calculations are made in the study of $S_{11}$ channel low energy $\pi$N scatterings, based on various phenomenological model inputs left cuts at tree level. The subtleties singular behavior partial wave amplitude origin complex $s$ plane carefully analysed. Furthermore, { it is found that dispersion representation for phase shift, $\delta$, has to be modified case $\p...

Abstract A new algorithm is presented to discriminate reconstructed hadronic decays of tau leptons ( τ h ) that originate from genuine in the CMS detector against candidates quark or gluon jets, electrons, muons. The inputs information all particles vicinity a candidate and employs deep neural network with convolutional layers efficiently process inputs. This leads significantly improved perfor...