So I'm trying to understand how the Higgs field and Higgs boson are different from the EM field and the photon. Firstly how I understand the photon is that It is the quanta of energy that an electromagnetic field oscillating at a certain frequency can give to some other system. The photon is the smallest possible ripple(of a certain frequency) in the EM field. I'm inclined to think that the same relationship holds for the Higgs field and the Higgs boson. The way I understand it is that It requires the amount of energy that they are using at the LHC to create the 'ripple' in the Higgs field. The Higgs field exists at a constant 'value' everywhere. I'm just learning about this stuff myself so I apologize for my lack of knowledge about things that are probably vital to the understanding of the subject. I'm a first year grad student I haven't had any formal training in particle physics though. I would love to hear corrections to my thinking.