Novel analytic methods for precision Higgs boson physics

ongoing

One of the current main goals in particle physics is the precise determination of Higgs boson properties, which simultaneously serves as a probe to new physics beyond the Standard Model (SM). The SM has been highly successful in describing the fundamental interactions of nature. However, the nature of the Higgs boson is not completely determined, and unsolved problems such as the origin of dark matter persist. These challenges call for precise studies of Higgs boson properties and searches for new physics, which are being conducted at the Large Hadron Collider (LHC). In this context, precise comparisons between theoretical predictions and experimental measurements in collider observables are crucial, particularly in boosted Higgs boson production associated with a vector boson or jet. These comparisons require advanced multi-loop calculations for higher-order quantum corrections in perturbative Quantum Field Theory. HINOVA will develop novel analytic techniques for multi-loop calculations, and aim to provide cutting-edge predictions for gluon-fusion Higgs boson production associated with a Z boson or jet at the LHC in the boosted region. Its primary goal is to analytically compute the missing next-to-leading order quantum electroweak corrections for these predictions. The main challenge lies in the calculation of two-loop four-point Feynman integrals involving top quarks, Higgs and gauge bosons. This challenge will be addressed using AsyInt, a novel analytic tool independently developed by the researcher. Its secondary goal is to establish a new method in AsyInt to analytically compute three-loop four-point Feynman integrals involving top quarks at high energies, which appear in next-to-next-to-leading order quantum chromodynamic (QCD) corrections for these predictions. HINOVA will deliver new results and methods that are instrumental for the most precise studies of Higgs boson properties and for new physics searches at the LHC and future high-energy colliders.