Higgs production at the large hadron collider: Phenomenological model and theoretical predictions

Abstract

Using the results from relativistic gauge field theory, a phenomenological model is developed for the production of an isolated Higgs particle H. The specific process is p+p → A+H +B, where the group of particles A (B) mostly goes down one (the other) beam pipe. The theory and the phenomenology apply when the center-of-mass energy √s ≫ M ≫ m, with M and m the masses of the Higgs particle and the proton respectively. Thus, there are two large parameters, namely √s/M and M/m. That M ≫ m plays a central role. This phenomenological model is applied to the Large Hadron Collider (LHC) to predict the differential production cross sections. With high probability, this isolated Higgs particle is produced with a small transverse momentum of the order of 1 GeV/c. Because of this fact and the relatively small number of observed particles in such events, the method of data analysis is different from those developed so far for Higgs detection. These events can be described as due to Pomeron-Pomeron annihilation, and are ‘clean’ in the sense that those from TeV linear colliders are called ‘clean’. The LHC, with its center-of-mass design energy of 14 TeV and its design luminosity of 1034 cm−2s−1, can function exceptionally well as a Pomeron collider.