Executive Summary : | This project aims to investigate the effective coupling of the Higgs boson to gluons involved in the hadronic decay process, which can be introduced by the Yukawa coupling of the Higgs boson to the quarks and the effective coupling of the Higgs boson to the gluons. The precision measurement for angularity event shapes observable at the hadronic decay of Higgs to gluons is proposed using soft-Collinear Effective Theory (sCET). The project will present numerical predictions for the angularity differential decay rate for the Higgs to gluon channel at the next-to-next-to-leading order (NNLL') accuracy, providing control over the collinear and transverse information of the jet and known event shapes thrust and jet broadening at certain limits. Angularity event shapes for the hadronic decay of Higgs boson can have either Hgg channel or Hqq channel, which allow for higher order QCD correction separately and study non-perturbative aspects related to gluon jets. The project also involves several crucial steps to get the expression of resumed angularity differential decay rate for the Higgs to gluon channel, such as factorization under sCET, Renormalization group evolution, resumation of large logarithms, and profile functions. The developed numerical Monde-Carlo program will become a standard tool for precision prediction in other high energy processes, allowing the involved research associate to pursue their PhD in this direction. |