Previous studies of the sum rule for the Higgs boson, as well as the NP particles, couplings has been limited to the classical level. Its not clear how quantum corrections would affect the sum rule. Quantum effects can either modify the classical sum rule while still keeping the form of the rule itself. Or it could introduce yet a new sum rule involving a new set of couplings not previously exist at the classical level.
The large number of effective operators in EFT makes constraining them difficult. Moreover, in order to obtain high precision constraints, one need to take into account quantum effects. The knowledge of the structure of quantum corrections, which has been worked out recently in a series of papers by Jenkins et al, provides a first step toward improving the constraints on the effective operators.
Due to the large number of possible NP models. It is important to rule out as many classes of NP models as possible. In order to achieve this aim, one has to consider each particular model and try to eliminate as much parameter space as possible. This is a tedious yet important task. This project will focus on Bosonic Technicolor model and also the model where the Higgs sector of SM is extended by arbitrary electroweak multiplets.
Inspired by the above observations, the main aims of this project are:
2.1 To improve theoretical understanding of the sum rules satisfied by the Higgs boson and the NP particles couplings when quantum effects are included.
2.2 To improve the constraints on effective operators using both the low energy precision measurements and high energy collider data.
2.3 To better identify the parameter space of a theoretically well motivated model of NP consistent with all the experimental data. In particular the Bosonic Technicolor model and also the model where the Higgs sector of SM is extended by arbitrary electroweak multiplets.
