How to impose a boundary on higgs mass given the top mass?

[MTd2]

Please, I would like sugestions on how to calculate that. It seems a very common topic on higgs experimental search, and I would like to understand that.

Thanks!

 

[humanino]

See for instance top quark, QCD and new physics and in particular, fig 12.

 

[sir-pinski]

In order to impose a boundary on the Higgs mass given the top mass, there are a few steps you can follow. First, it is important to understand the relationship between the Higgs mass and the top mass. The Higgs mass is a free parameter in the Standard Model of particle physics, which means it can take on any value. However, the top mass is not a free parameter and is instead determined experimentally. The Higgs and top masses are related through a process called electroweak symmetry breaking, which is responsible for giving particles their mass.

To calculate the boundary on the Higgs mass, you can use the following formula: mh < 2mt, where mh is the Higgs mass and mt is the top mass. This means that the Higgs mass cannot exceed twice the top mass. This is because the Higgs is responsible for giving mass to particles, including the top quark. If the Higgs mass is too heavy, it would give the top quark a mass that is too large and would not match with experimental measurements.

One approach to calculating the boundary on the Higgs mass is through theoretical calculations and simulations. This involves using mathematical models and computer simulations to predict the possible values of the Higgs mass based on the known value of the top mass. This can be a complex and technical process, but there are many resources available online and in textbooks that can guide you through it.

Another approach is through experimental measurements. Scientists at the Large Hadron Collider (LHC) in CERN are constantly conducting experiments to search for the Higgs particle and measure its properties. By analyzing the data from these experiments, they can determine the possible range of the Higgs mass based on the top mass.

Overall, understanding the relationship between the Higgs and top masses and using theoretical calculations and experimental measurements can help you impose a boundary on the Higgs mass. I would suggest doing some research on the topic and consulting with experts in the field for more specific guidance. Good luck!